1 00:00:00,040 --> 00:00:02,460 The following content is provided under a Creative 2 00:00:02,460 --> 00:00:03,870 Commons license. 3 00:00:03,870 --> 00:00:06,910 Your support will help MIT OpenCourseWare continue to 4 00:00:06,910 --> 00:00:10,560 offer high quality educational resources for free. 5 00:00:10,560 --> 00:00:13,460 To make a donation or view additional materials from 6 00:00:13,460 --> 00:00:16,180 hundreds of MIT courses, visit mitopencourseware@ocw.mit.edu. 7 00:00:22,340 --> 00:00:22,780 PROFESSOR: All right. 8 00:00:22,780 --> 00:00:27,130 So today we are going to start by reviewing income and 9 00:00:27,130 --> 00:00:28,690 substitution effects. 10 00:00:28,690 --> 00:00:31,110 Because that's a pretty hard concept and pretty central to 11 00:00:31,110 --> 00:00:33,160 a lot of what we'll do for the rest of the semester. 12 00:00:33,160 --> 00:00:35,750 And then we're going to dive in and talk about an 13 00:00:35,750 --> 00:00:37,630 application, a more interesting application, of 14 00:00:37,630 --> 00:00:40,750 income and substitution effects which is the effects 15 00:00:40,750 --> 00:00:43,100 of wages on labor supply. 16 00:00:43,100 --> 00:00:44,050 So let's review. 17 00:00:44,050 --> 00:00:46,850 If you take the handout, grab the handout and look at the 18 00:00:46,850 --> 00:00:48,720 first figure, it's the same as the last figure of the 19 00:00:48,720 --> 00:00:51,200 previous lecture. 20 00:00:51,200 --> 00:00:54,520 To review, remember, whenever the price changes, a price 21 00:00:54,520 --> 00:00:59,170 change can be decomposed into two effects, the substitution 22 00:00:59,170 --> 00:01:01,980 effect and the income effect. 23 00:01:01,980 --> 00:01:05,690 The substitution effect is the change in the quantity 24 00:01:05,690 --> 00:01:08,430 demanded when the price changes, 25 00:01:08,430 --> 00:01:11,300 holding utility constant. 26 00:01:11,300 --> 00:01:13,370 And as we proved last time, that is always 27 00:01:13,370 --> 00:01:16,210 negative, 0 or negative. 28 00:01:16,210 --> 00:01:18,750 It is always non-positive. 29 00:01:18,750 --> 00:01:22,670 It's always true that when a price goes up, the 30 00:01:22,670 --> 00:01:23,730 substitution effect is negative. 31 00:01:23,730 --> 00:01:25,760 We proved that both mathematically and graphically 32 00:01:25,760 --> 00:01:29,790 last time showing that if you're going to hold utility 33 00:01:29,790 --> 00:01:32,120 constant, and the price of a good is going to go up, you're 34 00:01:32,120 --> 00:01:34,040 going to shift away from that good. 35 00:01:34,040 --> 00:01:34,680 OK. 36 00:01:34,680 --> 00:01:35,640 That's the substitution effect. 37 00:01:35,640 --> 00:01:39,410 In our example, we showed graphically how you measure a 38 00:01:39,410 --> 00:01:40,850 substitution effect. 39 00:01:40,850 --> 00:01:45,660 You draw a new imaginary budget constraint, BC3, which 40 00:01:45,660 --> 00:01:50,130 is parallel to the new budget constraint, BC2. 41 00:01:50,130 --> 00:01:53,710 So it's got the new price ratio but tangent to the old 42 00:01:53,710 --> 00:01:55,270 indifference curve. 43 00:01:55,270 --> 00:01:57,295 So the key thing to understand is the imaginary budget 44 00:01:57,295 --> 00:01:59,950 constraint, BC3, where it comes from. 45 00:01:59,950 --> 00:02:01,390 It's parallel to the new budget constraint. 46 00:02:01,390 --> 00:02:03,360 That is it's got the new marginal rate of 47 00:02:03,360 --> 00:02:07,920 transformation, the new slope, but it's tangent to the old 48 00:02:07,920 --> 00:02:09,135 indifference curve. 49 00:02:09,135 --> 00:02:11,840 That gets you to point B. And so the movement from A to B is 50 00:02:11,840 --> 00:02:14,620 the substitution effect. 51 00:02:14,620 --> 00:02:18,930 Then we have an income effect which is, in fact, utility 52 00:02:18,930 --> 00:02:21,410 isn't held constant when prices change. 53 00:02:21,410 --> 00:02:22,930 In fact, utility falls, because 54 00:02:22,930 --> 00:02:25,980 you're effectively poorer. 55 00:02:25,980 --> 00:02:27,280 You're effectively poorer. 56 00:02:27,280 --> 00:02:28,500 Utility is falling. 57 00:02:28,500 --> 00:02:30,780 And since you're effectively poorer, that further reduces 58 00:02:30,780 --> 00:02:33,560 demand if the good is normal. 59 00:02:33,560 --> 00:02:37,840 So if it's a normal good, if it's a good where lower income 60 00:02:37,840 --> 00:02:40,260 causes less consumption of it, the fact that you're 61 00:02:40,260 --> 00:02:42,590 effectively poorer further lowers the consumption from 62 00:02:42,590 --> 00:02:44,440 point B to point C. 63 00:02:44,440 --> 00:02:46,810 So the total price effect is the one we demonstrated at the 64 00:02:46,810 --> 00:02:48,270 beginning of the last lecture. 65 00:02:48,270 --> 00:02:54,490 We raised the price of movies from $8 to $12. 66 00:02:54,490 --> 00:02:56,160 And we saw the number of movies consumed 67 00:02:56,160 --> 00:02:58,040 fell from 6 to 4. 68 00:02:58,040 --> 00:03:00,870 But what we can see now to understand what's underneath 69 00:03:00,870 --> 00:03:04,980 that is two things, an effect of the fact that prices change 70 00:03:04,980 --> 00:03:08,200 holding utility constant, and the fact that you're 71 00:03:08,200 --> 00:03:09,450 effectively poorer. 72 00:03:12,060 --> 00:03:13,820 And that's the key thing. 73 00:03:13,820 --> 00:03:15,790 No, your income hasn't actually gone down. 74 00:03:15,790 --> 00:03:20,940 But that $96 your parents gave you can buy you less. 75 00:03:20,940 --> 00:03:23,780 Your opportunity set has been restricted. 76 00:03:23,780 --> 00:03:25,430 And that makes you effectively poorer. 77 00:03:25,430 --> 00:03:27,250 And so you buy less for that reason. 78 00:03:27,250 --> 00:03:31,970 And so you get the total movement from A to C. 79 00:03:31,970 --> 00:03:35,950 Now, as we emphasized last time, this will be the case if 80 00:03:35,950 --> 00:03:37,380 it's a normal good. 81 00:03:37,380 --> 00:03:38,900 So substitution effects are done. 82 00:03:38,900 --> 00:03:40,400 Substitute effects are always negative, 83 00:03:40,400 --> 00:03:41,880 nothing fun about that. 84 00:03:41,880 --> 00:03:44,100 Income effects are a little more interesting, because 85 00:03:44,100 --> 00:03:47,770 goods can be not normal but inferior. 86 00:03:47,770 --> 00:03:52,780 We have inferior goods which are ones such that they're 87 00:03:52,780 --> 00:03:55,030 crummy stuff that as your income goes up, you 88 00:03:55,030 --> 00:03:56,480 want less of it. 89 00:03:56,480 --> 00:03:58,170 And that can change the analysis. 90 00:03:58,170 --> 00:04:01,400 So if we look at Figure 7-2, now we're talking about the 91 00:04:01,400 --> 00:04:03,270 price change with an inferior good. 92 00:04:03,270 --> 00:04:04,800 And now imagine someone choosing 93 00:04:04,800 --> 00:04:07,510 between steak and potatoes. 94 00:04:07,510 --> 00:04:08,830 So now the choice is between steak and potatoes. 95 00:04:12,590 --> 00:04:17,380 And steak costs $5 a pound, initially, and potatoes cost 96 00:04:17,380 --> 00:04:19,029 $1 a pound. 97 00:04:19,029 --> 00:04:20,839 Initially, you have an income of $25. 98 00:04:20,839 --> 00:04:29,030 So someone has an income of y equals $25. 99 00:04:29,030 --> 00:04:34,635 The price of steak is $5, and the price of potatoes is $1. 100 00:04:37,730 --> 00:04:41,950 So your budget constraint, your original BC1, runs from 101 00:04:41,950 --> 00:04:44,310 you can either have 5 steak, or 25 potatoes, or something 102 00:04:44,310 --> 00:04:44,840 in between. 103 00:04:44,840 --> 00:04:47,990 And so individuals choose point A where they're 104 00:04:47,990 --> 00:04:52,410 consuming 8.3 potatoes. 105 00:04:52,410 --> 00:05:00,580 They choose point A. 106 00:05:00,580 --> 00:05:01,860 I don't know what the number of steaks is. 107 00:05:01,860 --> 00:05:04,290 We probably also ought to label that, the number of 108 00:05:04,290 --> 00:05:05,110 steaks that comes from that. 109 00:05:05,110 --> 00:05:05,710 But whatever. 110 00:05:05,710 --> 00:05:08,020 It comes out of the utility function. 111 00:05:08,020 --> 00:05:14,040 So then we say, now let's imagine that the price of 112 00:05:14,040 --> 00:05:17,210 potatoes rises to $3 a pound. 113 00:05:17,210 --> 00:05:21,900 There's a blight on the potatoes like there was in 114 00:05:21,900 --> 00:05:24,660 Ireland in the 1800s. 115 00:05:24,660 --> 00:05:28,670 There's a potato blight, and that shifts in the supply 116 00:05:28,670 --> 00:05:31,870 curve for potatoes raising the price of potatoes from $1 a 117 00:05:31,870 --> 00:05:35,150 pound to $3 a pound. 118 00:05:35,150 --> 00:05:40,410 Now, what we know is that that will move consumers, given the 119 00:05:40,410 --> 00:05:42,810 utility function that we've chosen here, that will move 120 00:05:42,810 --> 00:05:45,910 consumers from point A to point C. Once again, that's 121 00:05:45,910 --> 00:05:49,780 not labeled, but some lower amount of potatoes. 122 00:05:49,780 --> 00:05:52,840 That will move them from point A to point C. So, ultimately, 123 00:05:52,840 --> 00:05:56,240 they'll choose fewer potatoes and fewer steaks. 124 00:05:56,240 --> 00:05:58,780 But, in fact, what we can see is that's the composition of a 125 00:05:58,780 --> 00:06:01,030 substitution effect which is negative, and an income effect 126 00:06:01,030 --> 00:06:02,410 which is positive. 127 00:06:02,410 --> 00:06:04,460 So if we do our standard decomposition, we draw a new 128 00:06:04,460 --> 00:06:07,530 monetary budget constraint BC3. 129 00:06:07,530 --> 00:06:10,830 It's parallel to the new budget constraint, BC2, so the 130 00:06:10,830 --> 00:06:12,480 same price ratio. 131 00:06:12,480 --> 00:06:13,970 It's parallel. 132 00:06:13,970 --> 00:06:18,560 But it's tangent to the old indifference curve at point B 133 00:06:18,560 --> 00:06:21,810 which is actually to the left of the ultimate choice at 134 00:06:21,810 --> 00:06:22,860 point C. 135 00:06:22,860 --> 00:06:26,590 So the substitution effect takes us from A to B. The 136 00:06:26,590 --> 00:06:30,850 income effect actually takes us back from B to C. That is 137 00:06:30,850 --> 00:06:35,090 as that budget constraint shifts from BC3 to BC2, as you 138 00:06:35,090 --> 00:06:40,060 get poorer, you choose more potatoes. 139 00:06:40,060 --> 00:06:42,400 So the substitution effect would say that from the price 140 00:06:42,400 --> 00:06:44,860 change of potatoes alone, we go all the way to point B. We 141 00:06:44,860 --> 00:06:47,620 massively reduce our consumption of potatoes. 142 00:06:47,620 --> 00:06:51,760 But because we're poorer, effectively, we now consume 143 00:06:51,760 --> 00:06:54,170 more potatoes. 144 00:06:54,170 --> 00:06:56,170 Because we're effectively poorer, we now 145 00:06:56,170 --> 00:06:57,420 consume more potatoes. 146 00:07:02,270 --> 00:07:06,210 And so, on net, you get a reduction in potato 147 00:07:06,210 --> 00:07:08,040 consumption. 148 00:07:08,040 --> 00:07:10,350 But it offsets the substitution effect. 149 00:07:10,350 --> 00:07:11,710 So that's when income effects can be a little more 150 00:07:11,710 --> 00:07:12,130 interesting. 151 00:07:12,130 --> 00:07:13,590 It's going to be a little more interesting exercise. 152 00:07:13,590 --> 00:07:15,450 When you think about substitute effects in the same 153 00:07:15,450 --> 00:07:16,350 way, it's not that interesting. 154 00:07:16,350 --> 00:07:18,170 It's just look, quantity fell. 155 00:07:18,170 --> 00:07:20,290 It doesn't really matter why. 156 00:07:20,290 --> 00:07:21,390 You don't see, in the real world, 157 00:07:21,390 --> 00:07:23,340 substitution income effects. 158 00:07:23,340 --> 00:07:25,670 What's interesting is when they're opposed to each other. 159 00:07:25,670 --> 00:07:27,190 That's when it gets more interesting. 160 00:07:27,190 --> 00:07:29,550 And so you see this small reduction you get from the 161 00:07:29,550 --> 00:07:30,800 substitution effect alone. 162 00:07:35,530 --> 00:07:37,140 By the way, there's two handouts. 163 00:07:37,140 --> 00:07:37,430 Right? 164 00:07:37,430 --> 00:07:38,430 Jessica, is there two handouts? 165 00:07:38,430 --> 00:07:39,110 There should be. 166 00:07:39,110 --> 00:07:41,460 There's tables as well. 167 00:07:41,460 --> 00:07:42,450 I didn't actually get it. 168 00:07:42,450 --> 00:07:44,490 Jessica, grab me one of those. 169 00:07:44,490 --> 00:07:45,850 There's tables as well as graphs. 170 00:07:45,850 --> 00:07:48,390 So make sure you have both handouts. 171 00:07:48,390 --> 00:07:49,360 Anyone else need tables? 172 00:07:49,360 --> 00:07:50,390 Am I the only one who didn't get it? 173 00:07:50,390 --> 00:07:51,820 OK, good. 174 00:07:51,820 --> 00:07:56,790 So, in principle, the income effect could be so large it 175 00:07:56,790 --> 00:07:58,200 could offset the substitution effect. 176 00:07:58,200 --> 00:07:59,170 There's no reason, theoretically, 177 00:07:59,170 --> 00:08:00,320 that couldn't happen. 178 00:08:00,320 --> 00:08:04,070 That is, in principle, you could derive preferences such 179 00:08:04,070 --> 00:08:06,650 that the income effect is so large it offsets the 180 00:08:06,650 --> 00:08:08,540 substitution effect-- thank you-- 181 00:08:08,540 --> 00:08:11,980 and the price increase actually leads to more 182 00:08:11,980 --> 00:08:13,800 potatoes being consumed. 183 00:08:13,800 --> 00:08:15,640 That is what we'd call a Giffen good as I 184 00:08:15,640 --> 00:08:16,890 talked about last time. 185 00:08:21,830 --> 00:08:25,730 So if you look at the table, the top table, this sort of 186 00:08:25,730 --> 00:08:29,110 lays out our possibilities. 187 00:08:29,110 --> 00:08:29,840 So look at the top table. 188 00:08:29,840 --> 00:08:32,150 It sort of maps out the possible sets of things that 189 00:08:32,150 --> 00:08:33,000 can happen. 190 00:08:33,000 --> 00:08:36,240 So if we have a normal good, and the price of that good 191 00:08:36,240 --> 00:08:39,789 rises, then we know that the 192 00:08:39,789 --> 00:08:42,270 substitution effect is negative. 193 00:08:42,270 --> 00:08:44,250 The income effect is negative. 194 00:08:44,250 --> 00:08:45,430 So the total effect is negative. 195 00:08:45,430 --> 00:08:46,210 Quantity falls. 196 00:08:46,210 --> 00:08:47,530 That's the law of demand. 197 00:08:47,530 --> 00:08:48,750 We talked about that last time, downward 198 00:08:48,750 --> 00:08:50,430 sloping demand curves. 199 00:08:50,430 --> 00:08:51,870 Likewise, if the price falls, the 200 00:08:51,870 --> 00:08:53,910 substitution effect is positive. 201 00:08:53,910 --> 00:08:55,090 The income effect is positive. 202 00:08:55,090 --> 00:08:58,050 You're now richer because the price of the good fell. 203 00:08:58,050 --> 00:09:00,200 And so, therefore, demand goes up. 204 00:09:00,200 --> 00:09:02,300 Quantity consumed goes up, once again, downward sloping 205 00:09:02,300 --> 00:09:03,230 demand curve. 206 00:09:03,230 --> 00:09:04,870 Price rises, you consume less of it. 207 00:09:04,870 --> 00:09:06,060 Price falls, you consume more of it. 208 00:09:06,060 --> 00:09:08,460 That's what we learned about in the first lecture. 209 00:09:08,460 --> 00:09:12,730 However, once goods are inferior, all bets are off. 210 00:09:12,730 --> 00:09:14,910 Because now the income effect is the opposite sign of the 211 00:09:14,910 --> 00:09:15,720 substitution effect. 212 00:09:15,720 --> 00:09:18,360 It's possible it could be larger. 213 00:09:18,360 --> 00:09:20,770 So the total effect is ambiguous. 214 00:09:20,770 --> 00:09:24,810 You could actually get an upward sloping demand curve. 215 00:09:24,810 --> 00:09:27,610 You could actually get that a price rise leads to more of a 216 00:09:27,610 --> 00:09:30,290 good, and a fall leads to less of a good. 217 00:09:30,290 --> 00:09:31,390 Now will you? 218 00:09:31,390 --> 00:09:32,720 Only if it's a Giffen good. 219 00:09:32,720 --> 00:09:34,610 And, in fact, there's a lot of controversy in economics about 220 00:09:34,610 --> 00:09:36,500 whether any good in the world has ever been a Giffen good. 221 00:09:36,500 --> 00:09:39,600 At most, there's maybe one or two examples people can find. 222 00:09:39,600 --> 00:09:42,760 Even then, it's controversial. 223 00:09:42,760 --> 00:09:45,890 So I think it's fine in life to assume that demand curves 224 00:09:45,890 --> 00:09:46,850 slope down. 225 00:09:46,850 --> 00:09:49,000 I think, in fact, I don't see convincing evidence that any 226 00:09:49,000 --> 00:09:51,250 subset or set of goods are Giffen goods. 227 00:09:51,250 --> 00:09:53,480 I think it's just generally fine it life to assume demand 228 00:09:53,480 --> 00:09:55,450 curves slope down. 229 00:09:55,450 --> 00:09:57,420 Nonetheless, it's important to understand this theoretical 230 00:09:57,420 --> 00:10:00,000 possibility even if it's just theoretical. 231 00:10:00,000 --> 00:10:01,570 Because it's important to understand income and 232 00:10:01,570 --> 00:10:03,690 substitution effects. 233 00:10:03,690 --> 00:10:04,440 OK. 234 00:10:04,440 --> 00:10:08,710 Questions about that, either on substitution effect or 235 00:10:08,710 --> 00:10:10,860 price changes? 236 00:10:10,860 --> 00:10:11,450 OK. 237 00:10:11,450 --> 00:10:15,330 So now, armed with that, let's go onto the more interesting 238 00:10:15,330 --> 00:10:17,095 case which is labor supply. 239 00:10:17,095 --> 00:10:19,710 It's more interesting, because as I'll come to in a few 240 00:10:19,710 --> 00:10:24,510 minutes, we talk about labor supply, labor is typically 241 00:10:24,510 --> 00:10:26,090 going to be an inferior good. 242 00:10:26,090 --> 00:10:27,890 So things are going to get a little more interesting. 243 00:10:27,890 --> 00:10:29,600 So let's talk about that. 244 00:10:29,600 --> 00:10:32,940 So the question you want to ask here is how hard do folks 245 00:10:32,940 --> 00:10:33,690 decide to work? 246 00:10:33,690 --> 00:10:38,430 How many hours of labor do folks decide to provide? 247 00:10:38,430 --> 00:10:40,970 As we talked about when we talked about minimum wage, 248 00:10:40,970 --> 00:10:44,360 just as we all have to decide between consuming pizza and 249 00:10:44,360 --> 00:10:47,670 consuming movies, or consuming steak and consuming potatoes, 250 00:10:47,670 --> 00:10:50,380 we also have to decide between how much labor we're going to 251 00:10:50,380 --> 00:10:52,690 provide and how much we're going to consume. 252 00:10:52,690 --> 00:10:55,210 The more labor you provide to the market, the more you 253 00:10:55,210 --> 00:10:58,170 consume, but the less fun you get to have. 254 00:10:58,170 --> 00:11:00,040 Fun, we call leisure. 255 00:11:00,040 --> 00:11:02,840 The less labor you provide to the market, the more fun you 256 00:11:02,840 --> 00:11:04,630 get to have, the more leisure you get, but the less you get 257 00:11:04,630 --> 00:11:06,470 to consume, because you have less income. 258 00:11:06,470 --> 00:11:08,200 And that's the trade-off we talked about when we talked 259 00:11:08,200 --> 00:11:10,230 about the effect of minimum wage. 260 00:11:10,230 --> 00:11:12,430 Now let's come back and get underneath that 261 00:11:12,430 --> 00:11:13,840 labor supply curve. 262 00:11:13,840 --> 00:11:14,770 So we talked about the minimum wage. 263 00:11:14,770 --> 00:11:18,600 We talked about the labor supply curve which was how the 264 00:11:18,600 --> 00:11:21,750 hours you provide respond to the wage and a labor demand 265 00:11:21,750 --> 00:11:24,030 curve, which was how the hours that firms want 266 00:11:24,030 --> 00:11:25,140 respond to the wage. 267 00:11:25,140 --> 00:11:28,330 Now let's get underneath the supply curve. 268 00:11:28,330 --> 00:11:30,240 A minute ago, we were talking about the demand curves and 269 00:11:30,240 --> 00:11:31,900 getting underneath the demand curve for consumers. 270 00:11:31,900 --> 00:11:35,940 Well, now let's get underneath the supply curve for labor. 271 00:11:35,940 --> 00:11:42,410 Now, the key thing is that when we talk about labor, it's 272 00:11:42,410 --> 00:11:44,480 not a good, it's a bad. 273 00:11:44,480 --> 00:11:46,480 The typical person doesn't want to work. 274 00:11:46,480 --> 00:11:48,280 The typical person is not in this room. 275 00:11:48,280 --> 00:11:49,770 You guys like to work. 276 00:11:49,770 --> 00:11:51,770 The typically person actually doesn't like to work. 277 00:11:54,610 --> 00:11:59,750 Leisure is a normal good. 278 00:12:02,360 --> 00:12:05,250 For the typical person, leisure is a normal good. 279 00:12:05,250 --> 00:12:06,600 They like time off. 280 00:12:13,160 --> 00:12:17,430 Leisure is a good, which means labor is a bad. 281 00:12:17,430 --> 00:12:19,870 They don't like to work. 282 00:12:19,870 --> 00:12:21,000 The problem is we don't know how to 283 00:12:21,000 --> 00:12:24,450 model bads in economics. 284 00:12:24,450 --> 00:12:26,020 It's just we're used to trading off between 285 00:12:26,020 --> 00:12:26,900 two things you want. 286 00:12:26,900 --> 00:12:28,980 When I used to trade-off, we know how to model something 287 00:12:28,980 --> 00:12:30,630 you want to get something you don't want. 288 00:12:30,630 --> 00:12:32,600 Indifference curves wouldn't work, because 289 00:12:32,600 --> 00:12:34,020 more wouldn't be better. 290 00:12:34,020 --> 00:12:36,130 If you drew an indifference curve for labor, it would 291 00:12:36,130 --> 00:12:37,960 violate the more is better assumption. 292 00:12:37,960 --> 00:12:38,730 Because you wouldn't want more. 293 00:12:38,730 --> 00:12:40,480 You'd want less. 294 00:12:40,480 --> 00:12:43,320 So the modeling trick we're going to use whenever we're 295 00:12:43,320 --> 00:12:48,880 modeling bads, is to model the complementary good and then, 296 00:12:48,880 --> 00:12:51,930 in the end, solve for the bad. 297 00:12:51,930 --> 00:12:53,020 We're not going to model labor. 298 00:12:53,020 --> 00:12:55,100 We're going to model leisure. 299 00:12:55,100 --> 00:12:58,790 And given the total amount of hours you have to supply, the 300 00:12:58,790 --> 00:13:00,680 total hours minus the amount of leisure is 301 00:13:00,680 --> 00:13:02,320 the amount of labor. 302 00:13:02,320 --> 00:13:03,880 So we're going to model leisure. 303 00:13:03,880 --> 00:13:05,660 We're going to model the good and then solve for 304 00:13:05,660 --> 00:13:08,080 labor at the end. 305 00:13:08,080 --> 00:13:10,210 So, in other words, if you have 24 hours a day you can 306 00:13:10,210 --> 00:13:16,230 work, then your amount of hours of work is 24 minus the 307 00:13:16,230 --> 00:13:20,880 amount of leisure N. Call it N or call it L. We'll call it N 308 00:13:20,880 --> 00:13:24,320 because L, typically, we think of as labor. 309 00:13:24,320 --> 00:13:26,750 Let's call leisure N for reasons I don't quite 310 00:13:26,750 --> 00:13:27,220 understand. 311 00:13:27,220 --> 00:13:29,430 Let's just use that. 312 00:13:29,430 --> 00:13:31,370 Basically the amount of hours you can 313 00:13:31,370 --> 00:13:33,120 work is 24 minus leisure. 314 00:13:33,120 --> 00:13:37,440 So if we solve for the optimal amount of leisure you want, we 315 00:13:37,440 --> 00:13:41,300 can obviously get the amount of labor you supply. 316 00:13:41,300 --> 00:13:44,160 So the trick when modeling a bad is not to model the bad. 317 00:13:44,160 --> 00:13:46,840 It's to model the complementary good. 318 00:13:46,840 --> 00:13:49,720 In this case, the complementary good is leisure. 319 00:13:49,720 --> 00:13:53,670 So we're going to model the trade-off between leisure and 320 00:13:53,670 --> 00:13:59,030 consumption and use the result of that to solve for the 321 00:13:59,030 --> 00:14:01,640 amount of labor you supply. 322 00:14:01,640 --> 00:14:04,190 So it's the general modeling trick you need to understand, 323 00:14:04,190 --> 00:14:05,980 which is turn a bad into a good. 324 00:14:05,980 --> 00:14:07,240 That's the modeling trick. 325 00:14:07,240 --> 00:14:08,230 Because we know how to model the 326 00:14:08,230 --> 00:14:09,330 trade-off between two goods. 327 00:14:09,330 --> 00:14:12,110 We don't know how to model the trade-off with a bad. 328 00:14:12,110 --> 00:14:16,710 So to think about that, let's go to Figure 7-3, and let's 329 00:14:16,710 --> 00:14:20,740 talk about what's underneath a labor supply curve. 330 00:14:20,740 --> 00:14:25,860 What's underneath a labor supply curve is the trade-off 331 00:14:25,860 --> 00:14:30,130 between how much leisure you want and how much consumption 332 00:14:30,130 --> 00:14:33,690 you can have. So you see here, here's a trade-off. 333 00:14:33,690 --> 00:14:37,080 On the y-axis is the amount of goods you can have. You 334 00:14:37,080 --> 00:14:38,680 earn a wage, w. 335 00:14:38,680 --> 00:14:40,610 The y-axis is the amount of goods you can have from a 336 00:14:40,610 --> 00:14:43,080 day's work. 337 00:14:43,080 --> 00:14:44,820 So you earn w per hour. 338 00:14:44,820 --> 00:14:46,650 That means the most goods you can have from a 339 00:14:46,650 --> 00:14:47,540 day's work is 24w. 340 00:14:47,540 --> 00:14:50,310 If you worked all 24 hours at that wage, you 341 00:14:50,310 --> 00:14:53,170 can have 24w goods. 342 00:14:53,170 --> 00:14:56,760 On the other hand, if you work not at all, then you take 24 343 00:14:56,760 --> 00:15:01,820 hours in leisure and have no consumption from that day. 344 00:15:01,820 --> 00:15:04,030 So we see as you move to the right on the 345 00:15:04,030 --> 00:15:05,730 x-axis, that's leisure. 346 00:15:05,730 --> 00:15:06,840 That's the good. 347 00:15:06,840 --> 00:15:08,290 As you move to the left, that's labor. 348 00:15:08,290 --> 00:15:09,540 That's the bad. 349 00:15:09,540 --> 00:15:10,220 OK? 350 00:15:10,220 --> 00:15:10,930 That's just illustrating. 351 00:15:10,930 --> 00:15:12,090 But we're going to model the good. 352 00:15:12,090 --> 00:15:13,340 We're going to model leisure. 353 00:15:16,330 --> 00:15:18,740 Your trade-off is between how much you want to consume and 354 00:15:18,740 --> 00:15:20,810 how much leisure you want to take. 355 00:15:20,810 --> 00:15:22,060 Now, here's what's interesting. 356 00:15:25,940 --> 00:15:27,920 In general, what determines the slope of a budget 357 00:15:27,920 --> 00:15:29,170 constraint? 358 00:15:31,010 --> 00:15:32,930 What determines the slope of a budget constraint? 359 00:15:32,930 --> 00:15:34,640 AUDIENCE: Marginal rate of transformation. 360 00:15:34,640 --> 00:15:35,556 PROFESSOR: Which is what? 361 00:15:35,556 --> 00:15:37,300 AUDIENCE: Ratio between prices. 362 00:15:37,300 --> 00:15:38,190 PROFESSOR: Ratio between prices. 363 00:15:38,190 --> 00:15:40,180 Prices determine the slope of the budget constraint. 364 00:15:40,180 --> 00:15:41,260 But here's what's tricky. 365 00:15:41,260 --> 00:15:44,830 What's the price of leisure? 366 00:15:44,830 --> 00:15:45,700 AUDIENCE: Wage. 367 00:15:45,700 --> 00:15:46,180 PROFESSOR: The wage. 368 00:15:46,180 --> 00:15:46,985 Why? 369 00:15:46,985 --> 00:15:51,645 AUDIENCE: Because for every hour you take having leisure, 370 00:15:51,645 --> 00:15:54,452 you are effectively using money that you 371 00:15:54,452 --> 00:15:55,330 could gain at work. 372 00:15:55,330 --> 00:15:56,090 PROFESSOR: Exactly. 373 00:15:56,090 --> 00:16:03,390 The key is the economic concept of opportunity cost, 374 00:16:03,390 --> 00:16:06,040 which we've talked about and will continue to talk about 375 00:16:06,040 --> 00:16:10,780 this semester, opportunity cost. By not working, you are 376 00:16:10,780 --> 00:16:13,120 forgoing earning a wage. 377 00:16:13,120 --> 00:16:15,500 So that is the price of leisure. 378 00:16:15,500 --> 00:16:17,290 You may not think of it this way, but, once again, that's 379 00:16:17,290 --> 00:16:19,530 why we're the dismal science. 380 00:16:19,530 --> 00:16:21,650 When you go home today, and you sit on the couch, and you 381 00:16:21,650 --> 00:16:25,990 watch TV for an hour, you have just paid a price. 382 00:16:25,990 --> 00:16:27,710 And that price is what you could have earned by 383 00:16:27,710 --> 00:16:29,760 working that hour. 384 00:16:29,760 --> 00:16:31,510 Every action has a price. 385 00:16:31,510 --> 00:16:38,040 And the price of leisure is the wage you forgo, The wage 386 00:16:38,040 --> 00:16:42,850 you forgo by sitting around is the price of leisure. 387 00:16:50,010 --> 00:16:54,760 Let's assume here that the price of goods is $1, that the 388 00:16:54,760 --> 00:16:57,200 goods you're going to buy cost $1. 389 00:16:57,200 --> 00:16:58,560 Whatever your consumption, it costs $1. 390 00:16:58,560 --> 00:16:59,730 That's the trick we always use with modeling. 391 00:16:59,730 --> 00:17:01,600 Make as many things $1 as you can. 392 00:17:01,600 --> 00:17:02,870 That makes the model easy. 393 00:17:02,870 --> 00:17:04,609 So let's assume that the price of the goods you're going to 394 00:17:04,609 --> 00:17:05,990 buy are $1. 395 00:17:05,990 --> 00:17:09,760 So the slope of the budget constraint is minus w over 1. 396 00:17:09,760 --> 00:17:11,569 The slope of the budget constraint is just the price 397 00:17:11,569 --> 00:17:13,990 of leisure which is minus w . 398 00:17:13,990 --> 00:17:17,440 So the trade-off with the price of goods of $1, the 399 00:17:17,440 --> 00:17:21,800 trade-off between taking leisure and consuming is that 400 00:17:21,800 --> 00:17:25,410 if you take leisure, an hour of leisure, 401 00:17:25,410 --> 00:17:26,789 you get w fewer goods. 402 00:17:29,470 --> 00:17:32,500 And if you work an hour, you get w more goods, but you lose 403 00:17:32,500 --> 00:17:34,780 an hour of leisure. 404 00:17:34,780 --> 00:17:39,150 And that gives you the trade-off between how much you 405 00:17:39,150 --> 00:17:41,190 consume and how much leisure you take which determines how 406 00:17:41,190 --> 00:17:42,660 much you work. 407 00:17:42,660 --> 00:17:42,960 OK. 408 00:17:42,960 --> 00:17:45,530 Questions about that? 409 00:17:45,530 --> 00:17:49,290 Now let's take this framework and ask, what happens when the 410 00:17:49,290 --> 00:17:51,810 wage changes, Figure 7-4. 411 00:17:54,630 --> 00:17:57,780 So we have an original outcome with the 412 00:17:57,780 --> 00:17:59,030 budget constraint BC1. 413 00:18:06,780 --> 00:18:10,320 We have an original budget constraint, BC1. 414 00:18:10,320 --> 00:18:15,700 Now imagine the wage goes up, so we move to BC2. 415 00:18:15,700 --> 00:18:18,770 BC2 is a budget constraint with a higher wage. 416 00:18:18,770 --> 00:18:20,290 The wage goes up. 417 00:18:20,290 --> 00:18:23,020 So what we're going to see is you're going to move from 418 00:18:23,020 --> 00:18:27,720 point A where you work N1 hours to point C where you 419 00:18:27,720 --> 00:18:30,030 work N3 hours. 420 00:18:30,030 --> 00:18:32,250 That's where your indifference curves are tangent with the 421 00:18:32,250 --> 00:18:33,500 new budget constraint. 422 00:18:35,920 --> 00:18:36,730 Not work, take leisure. 423 00:18:36,730 --> 00:18:37,300 I'm sorry. 424 00:18:37,300 --> 00:18:40,470 We take leisure of N1 hours to leisure of N3 hours. 425 00:18:40,470 --> 00:18:42,920 The wage going up has reduced your 426 00:18:42,920 --> 00:18:45,790 leisure which makes sense. 427 00:18:45,790 --> 00:18:47,580 If the wage goes up, you work harder. 428 00:18:47,580 --> 00:18:48,270 Right? 429 00:18:48,270 --> 00:18:50,750 So your wage going up, we always first take if there's a 430 00:18:50,750 --> 00:18:52,850 leisure and then convert to labor. 431 00:18:52,850 --> 00:18:59,010 Wage goes up, leisure falls from N1 to N3, which means 432 00:18:59,010 --> 00:19:00,720 labor goes up. 433 00:19:00,720 --> 00:19:03,360 But actually two things are happening here, the 434 00:19:03,360 --> 00:19:05,740 substitution and income effect. 435 00:19:05,740 --> 00:19:09,830 The substitution effect, which we see by drawing the 436 00:19:09,830 --> 00:19:15,040 imaginary budget constraint BC* which is parallel to BC2 437 00:19:15,040 --> 00:19:18,100 but tangent to the original difference curve, the 438 00:19:18,100 --> 00:19:22,240 substitution effect is a very large reduction in leisure. 439 00:19:22,240 --> 00:19:25,895 It moves all the way from N1 to N2. 440 00:19:25,895 --> 00:19:27,590 The substitution effect is a very large 441 00:19:27,590 --> 00:19:28,930 reduction in leisure. 442 00:19:28,930 --> 00:19:33,760 The income effect is that leisure is a normal good. 443 00:19:33,760 --> 00:19:36,830 I'm now richer, because my wage has gone up. 444 00:19:36,830 --> 00:19:39,570 So I want to buy more of it. 445 00:19:39,570 --> 00:19:41,430 So I buy more leisure. 446 00:19:41,430 --> 00:19:45,620 And that moves me from N2 to N3. 447 00:19:45,620 --> 00:19:50,700 So, basically, now the income effect offsets the 448 00:19:50,700 --> 00:19:54,690 substitution effect even with a normal good, or with a 449 00:19:54,690 --> 00:19:55,860 normal good. 450 00:19:55,860 --> 00:19:57,800 With a normal good, the income effect offsets that 451 00:19:57,800 --> 00:19:59,950 substitution effect. 452 00:19:59,950 --> 00:20:03,220 And that's because the money you're getting, you're using 453 00:20:03,220 --> 00:20:06,210 to buy leisure. 454 00:20:06,210 --> 00:20:10,940 So, in fact, if you flip to 7-5, you can see a case where 455 00:20:10,940 --> 00:20:12,190 the income effect dominates. 456 00:20:19,460 --> 00:20:22,410 And you actually get that a wage increase leads you to 457 00:20:22,410 --> 00:20:24,600 work less hard. 458 00:20:24,600 --> 00:20:25,160 Now, think about that. 459 00:20:25,160 --> 00:20:25,970 If I'd said to you-- 460 00:20:25,970 --> 00:20:27,200 I probably should have started with this-- 461 00:20:27,200 --> 00:20:29,540 if you increase the wage, will people work more or less hard? 462 00:20:29,540 --> 00:20:31,110 Your initial instinct would have been more hard. 463 00:20:31,110 --> 00:20:32,730 You would have thought, well, if your wage goes 464 00:20:32,730 --> 00:20:33,580 up, you work harder. 465 00:20:33,580 --> 00:20:34,990 But that's because your instinct was focused on the 466 00:20:34,990 --> 00:20:36,660 substitution effect. 467 00:20:36,660 --> 00:20:37,920 You're thinking about the income effect. 468 00:20:37,920 --> 00:20:41,200 Here's a case where I started at N1. 469 00:20:41,200 --> 00:20:43,610 The substitution effect leads me to N2. 470 00:20:43,610 --> 00:20:47,410 But I feel so much richer from that higher wage that I 471 00:20:47,410 --> 00:20:48,870 actually move all the way to N3. 472 00:20:48,870 --> 00:20:53,690 My leisure goes up, and I work less hard. 473 00:20:53,690 --> 00:20:59,280 Now, unlike a Giffen good, this is totally plausible. 474 00:20:59,280 --> 00:21:00,750 Why is it plausible? 475 00:21:00,750 --> 00:21:02,980 Well, let me do give you a simple intuition 476 00:21:02,980 --> 00:21:04,470 for why it's plausible. 477 00:21:04,470 --> 00:21:08,280 Let's say that you're someone who has a certain amount of 478 00:21:08,280 --> 00:21:09,980 things you want to buy every week. 479 00:21:09,980 --> 00:21:12,250 You don't save. You have a certain amount of things you 480 00:21:12,250 --> 00:21:13,320 want to buy every week. 481 00:21:13,320 --> 00:21:15,210 You have to pay your rent, you have to buy your food, you 482 00:21:15,210 --> 00:21:17,740 have to buy your other goodies, a certain budget. 483 00:21:17,740 --> 00:21:19,440 A lot of people live on a budget. 484 00:21:19,440 --> 00:21:20,710 You have a certain budget. 485 00:21:20,710 --> 00:21:23,220 And the truth is you're happy with that budget. 486 00:21:23,220 --> 00:21:25,420 That's kind of what you want to do. 487 00:21:25,420 --> 00:21:28,070 Now let's say I doubled your wage. 488 00:21:28,070 --> 00:21:31,550 Well, now to meet the budget you can work half as hard and 489 00:21:31,550 --> 00:21:33,620 still meet the same budget. 490 00:21:33,620 --> 00:21:36,780 So you'll work less hard. 491 00:21:36,780 --> 00:21:39,370 You could say, look, I can get more leisure and consume the 492 00:21:39,370 --> 00:21:42,070 same amount of goods as I did before. 493 00:21:42,070 --> 00:21:44,410 So I'll work less hard. 494 00:21:44,410 --> 00:21:45,640 That's a totally plausible case. 495 00:21:45,640 --> 00:21:48,340 That's a case of what we call target income. 496 00:21:48,340 --> 00:21:51,370 If someone has a target income, and their wage goes 497 00:21:51,370 --> 00:21:53,790 up, they'll work less. 498 00:21:53,790 --> 00:21:56,120 Now, that's not necessarily the truth. 499 00:21:56,120 --> 00:21:59,240 But it's, at least to me, sort of a plausible case of how 500 00:21:59,240 --> 00:22:01,380 people might behave. And that's a case where income 501 00:22:01,380 --> 00:22:03,630 effects can dominate. 502 00:22:03,630 --> 00:22:12,480 So if we, once again, go to the second chart on that page, 503 00:22:12,480 --> 00:22:13,500 now we see the income and substitution 504 00:22:13,500 --> 00:22:14,750 effects for labor supply. 505 00:22:19,700 --> 00:22:21,380 Once again, we're assuming leisure is a normal good. 506 00:22:21,380 --> 00:22:22,610 We're always going to assume leisure is a normal good. 507 00:22:22,610 --> 00:22:25,050 We're never going to assume people don't like leisure. 508 00:22:25,050 --> 00:22:29,530 Assuming leisure is a normal good, then as the wage rises, 509 00:22:29,530 --> 00:22:33,260 the substitution effect is you take less leisure. 510 00:22:33,260 --> 00:22:34,720 This table is a bit different than the other table. 511 00:22:34,720 --> 00:22:36,370 Instead of the first panel being normal and the second 512 00:22:36,370 --> 00:22:38,670 panel being inferior, the first panel is 513 00:22:38,670 --> 00:22:39,930 what happens to leisure. 514 00:22:39,930 --> 00:22:42,750 The second panel converts it to what happens to labor. 515 00:22:42,750 --> 00:22:45,530 So for instance, in the first cell, when the wage rises, the 516 00:22:45,530 --> 00:22:48,300 substitution effect on leisure is unambiguously negative. 517 00:22:48,300 --> 00:22:50,810 You clearly take less leisure when the wage rises. 518 00:22:50,810 --> 00:22:53,100 So, likewise, you have more labor. 519 00:22:53,100 --> 00:22:55,530 So on the bottom panel, labor is clearly greater than or 520 00:22:55,530 --> 00:22:56,710 less than 0. 521 00:22:56,710 --> 00:23:00,240 But the income effect is positive for leisure. 522 00:23:00,240 --> 00:23:01,450 You're rich, you take more leisure. 523 00:23:01,450 --> 00:23:04,110 Or, likewise, negative for labor, you're richer, so your 524 00:23:04,110 --> 00:23:05,480 work less hard. 525 00:23:05,480 --> 00:23:09,550 And, therefore, the net is ambiguous. 526 00:23:09,550 --> 00:23:15,240 So with goods consumption, we needed goods to be inferior 527 00:23:15,240 --> 00:23:17,630 for there to be a Giffen good type phenomena. 528 00:23:17,630 --> 00:23:23,500 Here, even with leisure being normal, you can have a Giffen 529 00:23:23,500 --> 00:23:24,530 good type phenomena. 530 00:23:24,530 --> 00:23:26,250 It's much less random. 531 00:23:26,250 --> 00:23:28,430 And, in some sense, this is why we learn income 532 00:23:28,430 --> 00:23:29,540 substitution effects. 533 00:23:29,540 --> 00:23:31,750 To be honest, they're just not that interesting for 534 00:23:31,750 --> 00:23:32,970 consumption. 535 00:23:32,970 --> 00:23:34,800 The book makes a big deal out of them and talks about 536 00:23:34,800 --> 00:23:36,420 consumer price indices and all that. 537 00:23:36,420 --> 00:23:38,920 It's just not that important for consumption. 538 00:23:38,920 --> 00:23:40,240 Because we know in consumption if prices goes 539 00:23:40,240 --> 00:23:41,670 up, you consume less. 540 00:23:41,670 --> 00:23:43,010 It's just not that interesting. 541 00:23:43,010 --> 00:23:45,570 It's much more interesting for things like labor supply. 542 00:23:45,570 --> 00:23:47,420 And we talk about savings in a number of lectures. 543 00:23:47,420 --> 00:23:48,700 It's the same thing. 544 00:23:48,700 --> 00:23:49,550 There, it's more interesting. 545 00:23:49,550 --> 00:23:51,560 Because now they can often offset each other in 546 00:23:51,560 --> 00:23:53,100 meaningful ways. 547 00:23:53,100 --> 00:23:55,210 And so now this is why the tools of income and 548 00:23:55,210 --> 00:23:58,220 substitution effects become much more important. 549 00:23:58,220 --> 00:23:59,890 OK? 550 00:23:59,890 --> 00:24:09,230 So if we put this together, if we go to Figure 7-6, we can 551 00:24:09,230 --> 00:24:13,640 now think about deriving where labor supply comes from. 552 00:24:13,640 --> 00:24:15,770 Where does labor supply come from? 553 00:24:15,770 --> 00:24:17,960 Well, first, you've got the consumer's decision of how 554 00:24:17,960 --> 00:24:18,600 hard to work. 555 00:24:18,600 --> 00:24:19,270 So here's a case. 556 00:24:19,270 --> 00:24:23,440 It's sort of small, but you can take a look. 557 00:24:23,440 --> 00:24:26,920 Here's a case where you've got someone initially working, 558 00:24:26,920 --> 00:24:30,110 taking 16 hours of leisure and, therefore, working eight 559 00:24:30,110 --> 00:24:32,750 hours, at a wage of W1. 560 00:24:38,780 --> 00:24:41,250 Now their wage goes up to W2. 561 00:24:41,250 --> 00:24:44,100 They choose to take 12 hours of leisure and, therefore, 562 00:24:44,100 --> 00:24:48,890 work 12 hours. 563 00:24:48,890 --> 00:24:50,920 This is someone who works harder when the wage goes up. 564 00:24:50,920 --> 00:24:52,600 That is, the income effect does not offset the 565 00:24:52,600 --> 00:24:55,600 substitution effect. 566 00:24:55,600 --> 00:24:59,670 Now, we can take that to draw a demand for leisure curve 567 00:24:59,670 --> 00:25:02,050 just like we drew any other demand curve. 568 00:25:02,050 --> 00:25:04,080 It's the same technique as last time. 569 00:25:04,080 --> 00:25:07,700 Just bring those point and say, look, at a wage of W1, 570 00:25:07,700 --> 00:25:08,780 leisure is 16. 571 00:25:08,780 --> 00:25:10,250 At a wage of W2, leisure is 12. 572 00:25:10,250 --> 00:25:13,500 We have a downward sloping demand for leisure, standard 573 00:25:13,500 --> 00:25:15,180 downward sloping demand for leisure. 574 00:25:15,180 --> 00:25:19,063 But we can convert that to a supply of labor, which is what 575 00:25:19,063 --> 00:25:19,340 we care about. 576 00:25:19,340 --> 00:25:21,300 Nobody cares about the demand for leisure curve. 577 00:25:21,300 --> 00:25:24,270 We care about the supply of labor curve. 578 00:25:24,270 --> 00:25:26,210 You just subtract these from 24. 579 00:25:26,210 --> 00:25:29,880 You use the supply of labor curve which is upward sloping. 580 00:25:29,880 --> 00:25:32,780 So as long as substitution effects dominate income 581 00:25:32,780 --> 00:25:37,610 effects, we'll get an upward sloping labor supply curve. 582 00:25:37,610 --> 00:25:42,900 But it's certainly possible that if income effects 583 00:25:42,900 --> 00:25:45,900 dominates substitution effects, you could get a 584 00:25:45,900 --> 00:25:50,180 downward sloping supply curve, if you will, what we call in 585 00:25:50,180 --> 00:25:53,720 labor economics, a backward-bending supply curve, 586 00:25:53,720 --> 00:25:55,260 a supply curve that goes the wrong way. 587 00:25:55,260 --> 00:25:57,600 Instead of sloping up like supply curves are supposed to, 588 00:25:57,600 --> 00:26:00,280 it goes the wrong way and slopes down. 589 00:26:00,280 --> 00:26:01,890 And we can see that's plausible. 590 00:26:01,890 --> 00:26:03,900 The target income case I just described to you 591 00:26:03,900 --> 00:26:05,500 would deliver that. 592 00:26:05,500 --> 00:26:07,660 The target income case I just described to you would deliver 593 00:26:07,660 --> 00:26:09,450 a downward sloping supply of labor. 594 00:26:09,450 --> 00:26:11,740 As the wage rose, people would work less and less. 595 00:26:14,620 --> 00:26:17,240 That's a totally plausible case. 596 00:26:17,240 --> 00:26:18,770 And that's why income and substitution effects are 597 00:26:18,770 --> 00:26:19,370 interesting. 598 00:26:19,370 --> 00:26:21,540 Because they can deliver this weird result. 599 00:26:21,540 --> 00:26:25,050 They can get the wrong signed supply curve. 600 00:26:25,050 --> 00:26:27,790 Questions about income and substitution 601 00:26:27,790 --> 00:26:31,620 effects or labor supply? 602 00:26:31,620 --> 00:26:34,330 So what I want to spend the rest of the lecture on is 603 00:26:34,330 --> 00:26:38,570 talking about well, what is the case? 604 00:26:38,570 --> 00:26:40,750 Do labor supply curves slope up or down? 605 00:26:40,750 --> 00:26:41,970 And what do we know about that? 606 00:26:41,970 --> 00:26:46,600 Well, this is probably the major focus of a field we call 607 00:26:46,600 --> 00:26:47,850 labor economics. 608 00:26:49,990 --> 00:26:52,570 And there's an excellent course on labor economics, 609 00:26:52,570 --> 00:26:56,045 14.64 taught by Josh Angrist, which goes into much detail in 610 00:26:56,045 --> 00:26:56,730 the entire field. 611 00:26:56,730 --> 00:26:59,810 But one of the main focuses of the field is understanding the 612 00:26:59,810 --> 00:27:02,560 elasticity of labor supply, and is it positive or 613 00:27:02,560 --> 00:27:04,270 negative, and how big is it. 614 00:27:04,270 --> 00:27:06,250 So, basically, measuring the slope of the labor supply 615 00:27:06,250 --> 00:27:08,320 curve is the focus of this literature, the elasticity of 616 00:27:08,320 --> 00:27:09,940 the labor supply. 617 00:27:09,940 --> 00:27:12,730 Now, what I want to do is start with a historical fact, 618 00:27:12,730 --> 00:27:13,960 and then I'll come to the modern age. 619 00:27:13,960 --> 00:27:16,110 Let's think about 30 years ago. 620 00:27:16,110 --> 00:27:20,250 30 years ago, all men worked and less than 621 00:27:20,250 --> 00:27:21,550 half of women worked. 622 00:27:21,550 --> 00:27:24,610 It was more normal for women not to work than to work, 623 00:27:24,610 --> 00:27:25,250 married women. 624 00:27:25,250 --> 00:27:25,590 I'm sorry. 625 00:27:25,590 --> 00:27:27,060 Less than half of married women worked. 626 00:27:30,790 --> 00:27:32,630 Now, married women could work. 627 00:27:32,630 --> 00:27:36,230 I'm not talking 60 years ago or 80 years ago when there 628 00:27:36,230 --> 00:27:37,340 were marriage bars. 629 00:27:37,340 --> 00:27:39,730 Literally, firms wouldn't hire you if you were married. 630 00:27:39,730 --> 00:27:40,420 It's true. 631 00:27:40,420 --> 00:27:41,500 If you're interested in that, you can actually 632 00:27:41,500 --> 00:27:42,700 read Claudia Goldin. 633 00:27:42,700 --> 00:27:45,530 She's a labor historian who's written about the early 20th 634 00:27:45,530 --> 00:27:46,760 century when, literally, women could be 635 00:27:46,760 --> 00:27:48,670 fired for being married. 636 00:27:48,670 --> 00:27:49,790 We're not talking about that era. 637 00:27:49,790 --> 00:27:51,710 I'm talking about 30 years ago when you could work if you 638 00:27:51,710 --> 00:27:52,090 were married. 639 00:27:52,090 --> 00:27:53,030 It's no problem. 640 00:27:53,030 --> 00:27:59,400 But most women chose not to, maybe 40 years ago now. 641 00:27:59,400 --> 00:28:03,750 So, in that case, let's think about two groups. 642 00:28:03,750 --> 00:28:10,260 Let's think about married men, and let's think 643 00:28:10,260 --> 00:28:12,520 about married women. 644 00:28:12,520 --> 00:28:17,730 And let's just posit, hypothetically, how big we 645 00:28:17,730 --> 00:28:21,190 think their substitution and income effects would be. 646 00:28:26,600 --> 00:28:28,560 Let's start with substitution effect. 647 00:28:28,560 --> 00:28:33,050 Do we think the substitution effect would be bigger? 648 00:28:33,050 --> 00:28:36,740 This is the change in the wage holding utility constant. 649 00:28:36,740 --> 00:28:39,180 Do we think that would have a bigger effect on leisure and, 650 00:28:39,180 --> 00:28:42,280 therefore, labor for men or for women and why? 651 00:28:42,280 --> 00:28:42,900 Don't yell it out. 652 00:28:42,900 --> 00:28:44,570 Somebody, raise their hand and tell me. 653 00:28:44,570 --> 00:28:46,726 Do we think that the substitution effect would be 654 00:28:46,726 --> 00:28:51,080 bigger for men or women and why? 655 00:28:51,080 --> 00:28:51,830 Remember the name. 656 00:28:51,830 --> 00:28:52,950 It's the substitution effect. 657 00:28:52,950 --> 00:28:54,200 That's the key to the answer. 658 00:28:58,520 --> 00:28:58,785 Yeah. 659 00:28:58,785 --> 00:29:02,000 AUDIENCE: I think it would be the same, because they each 660 00:29:02,000 --> 00:29:05,444 have equal use for the goods. 661 00:29:05,444 --> 00:29:08,396 Maybe their income effect would be different. 662 00:29:08,396 --> 00:29:08,888 PROFESSOR: OK. 663 00:29:08,888 --> 00:29:10,190 [UNINTELLIGIBLE PHRASE]. 664 00:29:10,190 --> 00:29:11,565 They each have equal use for the goods. 665 00:29:11,565 --> 00:29:12,840 Well let's deal with where the substitution 666 00:29:12,840 --> 00:29:13,410 effect comes from. 667 00:29:13,410 --> 00:29:16,600 Let's break it down. 668 00:29:16,600 --> 00:29:19,460 So you're someone who's deciding. 669 00:29:19,460 --> 00:29:23,720 You've got you and your wife, and you're each deciding how 670 00:29:23,720 --> 00:29:27,050 to respond to a change in the wage. 671 00:29:27,050 --> 00:29:30,100 Now, you both value the goods the same. 672 00:29:30,100 --> 00:29:32,490 But it's goods versus leisure. 673 00:29:32,490 --> 00:29:34,085 What's the other feature that you're going 674 00:29:34,085 --> 00:29:35,280 to be thinking about? 675 00:29:35,280 --> 00:29:37,780 Think about a married man 40 years ago, and 676 00:29:37,780 --> 00:29:39,783 the wage goes down. 677 00:29:39,783 --> 00:29:41,900 AUDIENCE: They have to work more. 678 00:29:41,900 --> 00:29:42,660 PROFESSOR: No. 679 00:29:42,660 --> 00:29:43,880 We're just doing substitution effects. 680 00:29:43,880 --> 00:29:44,240 That's unambiguous. 681 00:29:44,240 --> 00:29:45,980 If the goes down, they work less. 682 00:29:45,980 --> 00:29:47,120 We're just doing substitution effects. 683 00:29:47,120 --> 00:29:48,220 That's ambiguous. 684 00:29:48,220 --> 00:29:52,540 The question is, if they work less, what do they do? 685 00:29:52,540 --> 00:29:55,360 Whereas think about a married women 40 years ago. 686 00:29:55,360 --> 00:29:56,680 If she works less, what does she do? 687 00:29:56,680 --> 00:29:58,670 What does a married man do? 688 00:29:58,670 --> 00:29:59,340 Nothing. 689 00:29:59,340 --> 00:30:00,060 There's nothing to do. 690 00:30:00,060 --> 00:30:01,050 Your friends are all at work. 691 00:30:01,050 --> 00:30:03,250 You can't go play golf. 692 00:30:03,250 --> 00:30:04,360 You can't do anything. 693 00:30:04,360 --> 00:30:06,370 You don't take care of kids, because men didn't take care 694 00:30:06,370 --> 00:30:08,910 of kids 40 years ago. 695 00:30:08,910 --> 00:30:09,670 What do you do? 696 00:30:09,670 --> 00:30:11,100 There's nothing to do. 697 00:30:11,100 --> 00:30:13,860 Whereas a woman, married woman, if the wage goes down 698 00:30:13,860 --> 00:30:16,730 40 years ago, you can take care of kids instead. 699 00:30:16,730 --> 00:30:18,840 You can hang out with other women who aren't working. 700 00:30:18,840 --> 00:30:20,670 There's plenty to do. 701 00:30:20,670 --> 00:30:22,030 Based on that, now change your answer. 702 00:30:22,030 --> 00:30:22,840 Where do you think the substitution 703 00:30:22,840 --> 00:30:24,082 effect would be bigger? 704 00:30:24,082 --> 00:30:26,830 AUDIENCE: [INAUDIBLE PHRASE]. 705 00:30:26,830 --> 00:30:28,160 PROFESSOR: In women, it would be bigger. 706 00:30:28,160 --> 00:30:30,860 Because men, there's less of a substitution effect. 707 00:30:30,860 --> 00:30:33,940 Because it's all about substitutability of options. 708 00:30:33,940 --> 00:30:35,760 There's no good alternative option to work for 709 00:30:35,760 --> 00:30:37,480 men 40 years ago. 710 00:30:37,480 --> 00:30:39,130 It's either work or nothing. 711 00:30:39,130 --> 00:30:41,870 Basically, everybody worked. 712 00:30:41,870 --> 00:30:44,620 So, basically, there's no good substitution 713 00:30:44,620 --> 00:30:45,960 effect option for men. 714 00:30:45,960 --> 00:30:50,030 For women, there's lots of outside options. 715 00:30:50,030 --> 00:30:54,300 There's sociability, there's child rearing, et cetera. 716 00:30:54,300 --> 00:30:57,590 The substitution effect will be larger the more things 717 00:30:57,590 --> 00:31:00,680 there are you can substitute to. 718 00:31:00,680 --> 00:31:03,180 Men don't have anything to substitute to from work. 719 00:31:03,180 --> 00:31:07,300 Women have options to substitute to from work. 720 00:31:07,300 --> 00:31:09,870 For men, this is going to be very small. 721 00:31:09,870 --> 00:31:13,750 For women, this will be big. 722 00:31:13,750 --> 00:31:15,820 We know the sign. 723 00:31:15,820 --> 00:31:18,090 The smallest this can be is 0. 724 00:31:18,090 --> 00:31:20,020 We know the sign. 725 00:31:20,020 --> 00:31:21,530 But it's going to be a very small substitution effect, 726 00:31:21,530 --> 00:31:23,930 because I don't have a lot else to do if 727 00:31:23,930 --> 00:31:24,560 my wage goes down. 728 00:31:24,560 --> 00:31:27,060 Women, if it's a low wage, why work? 729 00:31:27,060 --> 00:31:29,060 You can be much more effective taking care of the kids or 730 00:31:29,060 --> 00:31:30,010 hanging out with your friends. 731 00:31:30,010 --> 00:31:31,150 Why work for a low wage? 732 00:31:31,150 --> 00:31:34,100 Men, there's nothing else to do. 733 00:31:34,100 --> 00:31:38,410 So that's the relative size to the substitution effects. 734 00:31:38,410 --> 00:31:42,770 Now, the income effect, I think, is a little bit harder. 735 00:31:42,770 --> 00:31:45,200 And let's come back and think about what 736 00:31:45,200 --> 00:31:46,925 drives an income effect. 737 00:31:54,320 --> 00:31:57,810 We talked about the income effect as being delta q over 738 00:31:57,810 --> 00:31:59,870 delta y, how much a quantity changes 739 00:31:59,870 --> 00:32:01,750 when your income changes. 740 00:32:01,750 --> 00:32:03,670 But, in reality, what's going to matter for your income 741 00:32:03,670 --> 00:32:08,660 effect given when you start today, is going to be not only 742 00:32:08,660 --> 00:32:13,140 delta q over delta y, how your taste for work changed or 743 00:32:13,140 --> 00:32:19,010 income changes, but also how hard you worked to start. 744 00:32:19,010 --> 00:32:21,090 Think of it this way. 745 00:32:21,090 --> 00:32:25,550 The income effect is how much richer you feel if your wage 746 00:32:25,550 --> 00:32:27,370 goes up, or how much poorer you feel if 747 00:32:27,370 --> 00:32:28,900 your wage goes down. 748 00:32:28,900 --> 00:32:35,270 If you are working 0 hours, the income effect is 0. 749 00:32:35,270 --> 00:32:37,110 You don't feel any richer if the wage goes up, because you 750 00:32:37,110 --> 00:32:40,390 don't earn any money. 751 00:32:40,390 --> 00:32:43,800 The more hours you work the bigger the income effect is, 752 00:32:43,800 --> 00:32:46,490 because the bigger that shock is to you. 753 00:32:46,490 --> 00:32:48,620 So we can think of the income effect, a shorthand for the 754 00:32:48,620 --> 00:32:56,140 income effect, is going to be h times dh/dy, the hours you 755 00:32:56,140 --> 00:33:00,820 work times how your hours change with your income. 756 00:33:00,820 --> 00:33:03,600 OK? 757 00:33:03,600 --> 00:33:06,450 Now, to prove this it involves using complicated algebra. 758 00:33:06,450 --> 00:33:07,710 We're not going to get into it in this course. 759 00:33:07,710 --> 00:33:09,960 I worked hard last night to see if I could make the 760 00:33:09,960 --> 00:33:11,710 algebra less complicated, and I can't. 761 00:33:11,710 --> 00:33:16,000 I just have to try to work intuitively on this. 762 00:33:16,000 --> 00:33:19,050 The notion of the income effect is bigger the more 763 00:33:19,050 --> 00:33:20,080 you're in the market. 764 00:33:20,080 --> 00:33:23,220 You can think about it for goods too. 765 00:33:23,220 --> 00:33:28,260 Think about the income effect of a change in the price of 766 00:33:28,260 --> 00:33:30,760 something you buy a lot of for something you 767 00:33:30,760 --> 00:33:33,090 buy very little of. 768 00:33:33,090 --> 00:33:37,210 So let's say you're someone who's buying two Starbucks a 769 00:33:37,210 --> 00:33:43,830 day, and you very rarely go see a movie. 770 00:33:43,830 --> 00:33:47,570 Well, if the price of a movie goes up 10%, or the price of 771 00:33:47,570 --> 00:33:49,500 Starbucks goes up 10%, which is going to 772 00:33:49,500 --> 00:33:51,400 make you feel poorer? 773 00:33:51,400 --> 00:33:52,940 The price of Starbucks going up, because you 774 00:33:52,940 --> 00:33:54,540 buy a lot of Starbucks. 775 00:33:54,540 --> 00:33:57,710 So how much poorer you'll feel, or the income effect, 776 00:33:57,710 --> 00:34:01,840 will depend on your starting point. 777 00:34:01,840 --> 00:34:04,160 The more you're in a market, the more you'll feel the 778 00:34:04,160 --> 00:34:05,330 income effect. 779 00:34:05,330 --> 00:34:07,250 Now, based on that, who's going to have a bigger income 780 00:34:07,250 --> 00:34:09,050 effect, men or women? 781 00:34:09,050 --> 00:34:10,800 Same person, what do you think? 782 00:34:10,800 --> 00:34:13,100 The income effect is going to be stronger the more you're in 783 00:34:13,100 --> 00:34:13,920 the market. 784 00:34:13,920 --> 00:34:15,062 So who's going to have a bigger income effect? 785 00:34:15,062 --> 00:34:15,909 AUDIENCE: Married men would have a bigger income effect. 786 00:34:15,909 --> 00:34:16,403 PROFESSOR: Exactly. 787 00:34:16,403 --> 00:34:18,920 Married men would have a bigger income effect, because 788 00:34:18,920 --> 00:34:19,650 they're in the market. 789 00:34:19,650 --> 00:34:21,360 Married women, most of them don't work. 790 00:34:21,360 --> 00:34:23,480 So there's no income effect. 791 00:34:23,480 --> 00:34:30,800 So this is going to be big for men and small for women. 792 00:34:30,800 --> 00:34:32,650 There's another issue, which is does dh/dy 793 00:34:32,650 --> 00:34:33,440 differ for men and women? 794 00:34:33,440 --> 00:34:35,000 I'll leave that alone. 795 00:34:35,000 --> 00:34:37,489 Let's assume they both have the same underlying income 796 00:34:37,489 --> 00:34:39,230 elasticity. 797 00:34:39,230 --> 00:34:41,380 But, certainly, the initial hours are much bigger from men 798 00:34:41,380 --> 00:34:42,630 than for women. 799 00:34:44,560 --> 00:34:49,020 So what does this mean in terms of the labor supply 800 00:34:49,020 --> 00:34:52,239 curves you would see for married men and married women 801 00:34:52,239 --> 00:34:55,460 40 years ago? 802 00:34:55,460 --> 00:34:57,830 Based on these facts, what would you think? 803 00:34:57,830 --> 00:34:58,680 Yeah? 804 00:34:58,680 --> 00:34:59,770 AUDIENCE: They would have opposite slopes. 805 00:34:59,770 --> 00:35:00,100 PROFESSOR: Yeah. 806 00:35:00,100 --> 00:35:02,590 So, in particular, the female labor supply curve 807 00:35:02,590 --> 00:35:03,450 would look like what? 808 00:35:03,450 --> 00:35:04,848 It would slope up or down? 809 00:35:04,848 --> 00:35:06,720 AUDIENCE: It would slope up. 810 00:35:06,720 --> 00:35:07,880 PROFESSOR: It would slope up. 811 00:35:07,880 --> 00:35:12,500 You'd have an upward sloping curve, because you'd have 812 00:35:12,500 --> 00:35:14,820 these big substitution effects and small income effects. 813 00:35:14,820 --> 00:35:17,530 So it would look much more like Figure 7-4. 814 00:35:21,680 --> 00:35:23,220 You'd have the big substitution effect when the 815 00:35:23,220 --> 00:35:25,650 wage goes up and a small offsetting income effect. 816 00:35:25,650 --> 00:35:27,750 Think about the woman who is not working at all. 817 00:35:27,750 --> 00:35:29,340 She's now working at all at $8 an hour. 818 00:35:29,340 --> 00:35:31,530 You raise her wage to $12 an hour. 819 00:35:31,530 --> 00:35:32,650 She's like, hey, I wasn't working at all. 820 00:35:32,650 --> 00:35:33,650 So there's no income effect. 821 00:35:33,650 --> 00:35:36,390 But now I'm going to go to work and make some money. 822 00:35:36,390 --> 00:35:37,200 So it's upward sloping. 823 00:35:37,200 --> 00:35:40,690 But for men, it's going to look more potentially like 824 00:35:40,690 --> 00:35:42,330 Figure 7-5. 825 00:35:42,330 --> 00:35:45,050 There's a small substitution effect but a potentially big 826 00:35:45,050 --> 00:35:49,050 income effect or bigger than women. 827 00:35:49,050 --> 00:35:51,160 Now, how big it is, that's not clear. 828 00:35:51,160 --> 00:35:52,460 Because, once again, men have nothing to do 829 00:35:52,460 --> 00:35:54,010 if they don't work. 830 00:35:54,010 --> 00:35:59,660 So it could be this ends up being bigger and smaller. 831 00:35:59,660 --> 00:36:03,230 It's not clear how big this ends up being. 832 00:36:03,230 --> 00:36:06,540 But it's at least possible that you could have men having 833 00:36:06,540 --> 00:36:11,020 a backward-bending or downward sloping labor supply curve. 834 00:36:11,020 --> 00:36:12,910 Because the income effect could even more than offset 835 00:36:12,910 --> 00:36:14,950 the substitution effect. 836 00:36:14,950 --> 00:36:17,410 But, in reality, given the way I set up the example, you'd 837 00:36:17,410 --> 00:36:18,660 think men would basically have a pretty 838 00:36:18,660 --> 00:36:20,650 inelastic labor supply. 839 00:36:20,650 --> 00:36:23,090 You'd think, 40 years ago, these things would basically 840 00:36:23,090 --> 00:36:25,950 both be 0, both offset. 841 00:36:25,950 --> 00:36:28,735 And, basically, you'd have a situation where the change in 842 00:36:28,735 --> 00:36:30,000 the wages didn't matter much for men. 843 00:36:32,940 --> 00:36:36,540 And, in fact, that's what people found. 844 00:36:36,540 --> 00:36:38,570 This is a wonderful case of the convergence of truth with 845 00:36:38,570 --> 00:36:41,020 theory and a wonderful chance to see the power of some 846 00:36:41,020 --> 00:36:43,620 pretty simplistic theory. 847 00:36:43,620 --> 00:36:46,110 The intuition is exactly borne out in the data, which is 848 00:36:46,110 --> 00:36:47,860 males, 40 years ago, would have a very 849 00:36:47,860 --> 00:36:49,070 inelastic labor supply. 850 00:36:49,070 --> 00:36:51,660 Their labor supply curves were virtually vertical and maybe 851 00:36:51,660 --> 00:36:52,410 backward-bending. 852 00:36:52,410 --> 00:36:54,920 There's some controversy on that. 853 00:36:54,920 --> 00:36:56,190 Some estimates got backward-bending. 854 00:36:56,190 --> 00:36:56,900 Some didn't. 855 00:36:56,900 --> 00:37:00,300 But there were certainly not upward sloping. 856 00:37:00,300 --> 00:37:02,060 It was basically vertical. 857 00:37:02,060 --> 00:37:04,460 Women had a very few elastic labor supply. 858 00:37:04,460 --> 00:37:07,380 The elasticity is estimated to be around 1. 859 00:37:07,380 --> 00:37:10,490 That is every 1% change in the wage lead to 860 00:37:10,490 --> 00:37:12,360 1% more labor supply. 861 00:37:12,360 --> 00:37:15,550 So that's a fairly elastic labor supply for women. 862 00:37:15,550 --> 00:37:19,990 Where, for men, the estimate was basically 0. 863 00:37:19,990 --> 00:37:21,920 And that's kind of neat, because we're actually getting 864 00:37:21,920 --> 00:37:23,230 confirmation in the data of what the theory 865 00:37:23,230 --> 00:37:25,960 would have told us. 866 00:37:25,960 --> 00:37:30,480 Now, someone else tell me what do you think has happened over 867 00:37:30,480 --> 00:37:36,190 the last 40 years relative to these elasticities of married 868 00:37:36,190 --> 00:37:39,305 men and married women. 869 00:37:39,305 --> 00:37:40,736 Yeah. 870 00:37:40,736 --> 00:37:43,836 AUDIENCE: The elasticity of married women has gone down in 871 00:37:43,836 --> 00:37:45,510 the last 40 years-- 872 00:37:45,510 --> 00:37:45,915 PROFESSOR: Why? 873 00:37:45,915 --> 00:37:47,390 Speak up so the class can hear you. 874 00:37:47,390 --> 00:37:48,868 Why is that? 875 00:37:48,868 --> 00:37:51,832 AUDIENCE: Because women work more often now 876 00:37:51,832 --> 00:37:52,326 than they did before. 877 00:37:52,326 --> 00:37:54,230 PROFESSOR: Women work more often now. 878 00:37:54,230 --> 00:37:58,450 So the income effect is going to be getting bigger for them. 879 00:37:58,450 --> 00:38:00,700 So the income effect is going up, because their 880 00:38:00,700 --> 00:38:03,100 initial h is bigger. 881 00:38:03,100 --> 00:38:06,900 Plus there's actually now, in some sense, less good 882 00:38:06,900 --> 00:38:08,420 opportunities if you're not working. 883 00:38:08,420 --> 00:38:10,420 So when we had our first kid, and we lived in Brookline, 884 00:38:10,420 --> 00:38:12,660 which is sort of an urban city, and my wife decided to 885 00:38:12,660 --> 00:38:15,660 stay at home, she didn't have moms to hang out with. 886 00:38:15,660 --> 00:38:17,680 It was just nannies at the park. 887 00:38:17,680 --> 00:38:19,670 And it wasn't that much fun. 888 00:38:19,670 --> 00:38:23,130 And so, basically, the substitution effect is 889 00:38:23,130 --> 00:38:25,550 shrinking, because the outside options aren't quite as good 890 00:38:25,550 --> 00:38:29,760 as they were, as the norms shift towards work. 891 00:38:29,760 --> 00:38:33,580 Whereas for men, actually it's becoming more normal for men 892 00:38:33,580 --> 00:38:36,110 to be engaged in child care. 893 00:38:36,110 --> 00:38:38,840 My best friend is a stay-at-home dad. 894 00:38:38,840 --> 00:38:42,770 It's becoming more normal for that to happen. 895 00:38:42,770 --> 00:38:45,360 And so the substitution effect is rising. 896 00:38:45,360 --> 00:38:47,720 It's not implausible that if you cut a man's wage down, 897 00:38:47,720 --> 00:38:48,440 he'll just say forget it. 898 00:38:48,440 --> 00:38:49,050 My wife's going to work. 899 00:38:49,050 --> 00:38:50,340 I'm taking care of the kids. 900 00:38:50,340 --> 00:38:53,880 That would be socially ostracizing 40 years ago. 901 00:38:53,880 --> 00:38:56,180 But it's not that odd now. 902 00:38:56,180 --> 00:38:58,850 And, likewise, as men are less engaged in the labor force and 903 00:38:58,850 --> 00:39:00,930 spending more time at home, their income effects are 904 00:39:00,930 --> 00:39:04,280 falling, because their initial h is smaller. 905 00:39:04,280 --> 00:39:06,950 So you're getting a convergence in these labor 906 00:39:06,950 --> 00:39:09,270 supply elasticities. 907 00:39:09,270 --> 00:39:11,050 What really seems to be happening is mostly 908 00:39:11,050 --> 00:39:13,530 convergence down for women, not much up for men. 909 00:39:13,530 --> 00:39:15,800 So men are maybe going from 0 to 0.1. 910 00:39:15,800 --> 00:39:18,980 Women are coming from like 1 to 1/2. 911 00:39:18,980 --> 00:39:21,880 So what you're seeing is that men aren't actually working 912 00:39:21,880 --> 00:39:23,310 that much less. 913 00:39:23,310 --> 00:39:24,510 There's a few stay-at-home dads. 914 00:39:24,510 --> 00:39:25,830 But they're still not the majority. 915 00:39:25,830 --> 00:39:28,550 Women are working a lot more, and kids are in 916 00:39:28,550 --> 00:39:30,520 child care a lot more. 917 00:39:30,520 --> 00:39:34,020 So what you're seeing over time is you're seeing men 918 00:39:34,020 --> 00:39:35,860 being a little more responsive, but not that much 919 00:39:35,860 --> 00:39:36,140 more responsive. 920 00:39:36,140 --> 00:39:39,380 They're still, basically, working all the time. 921 00:39:39,380 --> 00:39:41,230 Women are working a lot more and being more 922 00:39:41,230 --> 00:39:43,530 responsive to wages. 923 00:39:43,530 --> 00:39:49,690 And there's a reduction coming in both women's leisure and 924 00:39:49,690 --> 00:39:52,840 production of child care at home. 925 00:39:52,840 --> 00:39:57,790 Now, that raises a very interesting question of is 926 00:39:57,790 --> 00:39:59,740 this is a good thing? 927 00:39:59,740 --> 00:40:01,430 Now this is a very deep and hard topic. 928 00:40:01,430 --> 00:40:03,340 In economics, we think if people do something it's good, 929 00:40:03,340 --> 00:40:06,200 or they wouldn't have done it. 930 00:40:06,200 --> 00:40:08,770 It is true that if you look at data on self-reported 931 00:40:08,770 --> 00:40:14,020 well-being or happiness data, married women report a general 932 00:40:14,020 --> 00:40:16,680 decline in happiness, over the last 40 years, as they've 933 00:40:16,680 --> 00:40:20,100 entered the labor force more and more. 934 00:40:20,100 --> 00:40:24,700 And the issue is, is this something which is a good way 935 00:40:24,700 --> 00:40:27,560 for society to spend its resources, to 936 00:40:27,560 --> 00:40:29,535 have everyone working? 937 00:40:29,535 --> 00:40:30,720 We're consuming more. 938 00:40:30,720 --> 00:40:32,370 Consumption has gone up. 939 00:40:32,370 --> 00:40:34,180 We're consuming more, but we're getting less 940 00:40:34,180 --> 00:40:35,830 leisure as a family. 941 00:40:35,830 --> 00:40:37,370 Because the men aren't working that much less. 942 00:40:37,370 --> 00:40:38,940 The women are working a lot more. 943 00:40:38,940 --> 00:40:41,910 So we're getting less leisure as a family. 944 00:40:41,910 --> 00:40:42,720 How do we feel about that outcome. 945 00:40:42,720 --> 00:40:43,730 That's an interesting question. 946 00:40:43,730 --> 00:40:47,000 And we'll talk about that some more later on in the semester. 947 00:40:47,000 --> 00:40:48,040 OK. 948 00:40:48,040 --> 00:40:49,190 Questions about this? 949 00:40:49,190 --> 00:40:50,189 Yeah. 950 00:40:50,189 --> 00:40:51,439 AUDIENCE: [INAUDIBLE PHRASE]. 951 00:41:08,540 --> 00:41:10,960 PROFESSOR: That's a really good question. 952 00:41:10,960 --> 00:41:13,530 And let me talk about that for a couple of minutes. 953 00:41:13,530 --> 00:41:23,320 The definition of unemployment is those employed 954 00:41:23,320 --> 00:41:25,490 over looking for work. 955 00:41:29,480 --> 00:41:32,610 If the number of people employed does not change, and 956 00:41:32,610 --> 00:41:35,770 women suddenly want to work, and they report to surveyors 957 00:41:35,770 --> 00:41:38,680 that they're looking for work-- 958 00:41:38,680 --> 00:41:39,750 that's the employment rate. 959 00:41:39,750 --> 00:41:40,390 I'm sorry. 960 00:41:40,390 --> 00:41:41,660 The unemployment rate-- 961 00:41:41,660 --> 00:41:42,370 I'm sorry-- 962 00:41:42,370 --> 00:41:46,660 is going to be those looking over employed. 963 00:41:46,660 --> 00:41:48,310 My bad. 964 00:41:48,310 --> 00:41:50,010 The unemployment rate is going to be those 965 00:41:50,010 --> 00:41:52,060 looking over those employed. 966 00:41:52,060 --> 00:41:53,310 So the unemployment rate is how many people are looking 967 00:41:53,310 --> 00:41:54,490 for work over how many are employed. 968 00:41:54,490 --> 00:42:00,000 If women start suddenly looking for work, and there's 969 00:42:00,000 --> 00:42:02,920 no jobs to be had, that will raise the unemployment rate. 970 00:42:02,920 --> 00:42:06,670 So one thing that's been a focus of a lot of research has 971 00:42:06,670 --> 00:42:09,700 been do increases in the supply of labor lead to 972 00:42:09,700 --> 00:42:12,160 increases in unemployment? 973 00:42:12,160 --> 00:42:14,310 What you've expressed is what's often called the lump 974 00:42:14,310 --> 00:42:15,820 of labour view. 975 00:42:15,820 --> 00:42:18,700 The lump of labour view is basically the view that 976 00:42:18,700 --> 00:42:21,870 there's a fixed box of production in the economy. 977 00:42:21,870 --> 00:42:24,450 And as more workers come in to fill that box, there will be 978 00:42:24,450 --> 00:42:26,100 more unemployment. 979 00:42:26,100 --> 00:42:28,940 The alternative view is that the economy is dynamic. 980 00:42:28,940 --> 00:42:31,940 And as more women are working, and earning income, and buying 981 00:42:31,940 --> 00:42:34,490 stuff, that makes more jobs. 982 00:42:34,490 --> 00:42:37,100 So our standard of consumption is way higher 983 00:42:37,100 --> 00:42:38,990 than 40 years ago. 984 00:42:38,990 --> 00:42:41,430 We all have much cooler stuff than 40 years ago. 985 00:42:41,430 --> 00:42:46,170 You have no idea how bad life sucked 40 years ago. 986 00:42:46,170 --> 00:42:48,200 We have way better stuff. 987 00:42:48,200 --> 00:42:50,680 We have that stuff, because women are working and making 988 00:42:50,680 --> 00:42:52,810 the income to buy it, which means people have to make it 989 00:42:52,810 --> 00:42:54,580 which makes jobs. 990 00:42:54,580 --> 00:42:56,910 So, in fact, the existing evidence is labor supply 991 00:42:56,910 --> 00:43:00,390 shocks do not cause unemployment increases. 992 00:43:00,390 --> 00:43:02,010 This is something I've worked a lot on. 993 00:43:02,010 --> 00:43:07,210 What you see, a very interesting case is in Europe. 994 00:43:07,210 --> 00:43:10,190 In the US and all over the world, we have assistance of 995 00:43:10,190 --> 00:43:14,460 what we call Social Security, a term you've 996 00:43:14,460 --> 00:43:15,780 all heard, I'm sure. 997 00:43:15,780 --> 00:43:21,400 The Social Security program is a program which provides 998 00:43:21,400 --> 00:43:25,230 income when you're retired. 999 00:43:25,230 --> 00:43:28,280 So it provides income when you're retired to help you 1000 00:43:28,280 --> 00:43:29,760 deal with the fact that you don't have a source of labor 1001 00:43:29,760 --> 00:43:30,100 income anymore. 1002 00:43:30,100 --> 00:43:33,060 And that's a program that virtually every country, and 1003 00:43:33,060 --> 00:43:34,570 all developed countries have a very generous 1004 00:43:34,570 --> 00:43:35,990 social security program. 1005 00:43:35,990 --> 00:43:39,180 But they're different in the US than in other countries. 1006 00:43:39,180 --> 00:43:42,950 In the US, the way the social security program works is when 1007 00:43:42,950 --> 00:43:45,990 you hit 62, you get a choice. 1008 00:43:45,990 --> 00:43:49,570 You can stop working and get your benefits from Social 1009 00:43:49,570 --> 00:43:53,350 Security, and then you get them every year until you die. 1010 00:43:53,350 --> 00:43:57,880 Or you can keep working, delay getting your benefits, but 1011 00:43:57,880 --> 00:44:00,700 they'll increase what you get to offset the delay. 1012 00:44:00,700 --> 00:44:03,800 So, in other words, if I retire at 63 rather than 62, 1013 00:44:03,800 --> 00:44:06,380 given that I'm going to die at the same date, I'm going to 1014 00:44:06,380 --> 00:44:08,600 get one fewer year of benefits in my life. 1015 00:44:08,600 --> 00:44:12,390 But they raise them by 6.7% to compensate for that. 1016 00:44:12,390 --> 00:44:14,430 So I get one fewer year of benefits, but every year it's 1017 00:44:14,430 --> 00:44:15,570 6.7% higher. 1018 00:44:15,570 --> 00:44:17,570 And it turns out, given life expectancy, that works out to 1019 00:44:17,570 --> 00:44:19,440 be a roughly fair deal. 1020 00:44:19,440 --> 00:44:22,080 So, basically, at 62, your choice is I can get one more 1021 00:44:22,080 --> 00:44:24,240 year of benefits or I get higher benefits 1022 00:44:24,240 --> 00:44:25,580 for one fewer years. 1023 00:44:25,580 --> 00:44:27,940 And that's a choice that's a roughly fair deal. 1024 00:44:27,940 --> 00:44:28,180 OK. 1025 00:44:28,180 --> 00:44:29,030 Questions about that? 1026 00:44:29,030 --> 00:44:31,490 Am I making sense of that? 1027 00:44:31,490 --> 00:44:34,310 In Europe, it's not a fair deal. 1028 00:44:34,310 --> 00:44:37,605 In Europe the way it works is they say, you can get one more 1029 00:44:37,605 --> 00:44:38,390 year of benefits. 1030 00:44:38,390 --> 00:44:40,810 But if you decide to work this year, we're not given you any 1031 00:44:40,810 --> 00:44:44,050 more in the future. 1032 00:44:44,050 --> 00:44:46,690 So let me describe how it works in the Netherlands. 1033 00:44:46,690 --> 00:44:50,430 At age 55, the Netherlands says, if you decide to retire 1034 00:44:50,430 --> 00:44:55,130 this year, we will replace 90% of your wages in social 1035 00:44:55,130 --> 00:44:56,800 security payments to make sure your income doesn't suffer 1036 00:44:56,800 --> 00:44:58,600 when you retire. 1037 00:44:58,600 --> 00:45:02,160 If you don't retire and work, you're going to give up 1038 00:45:02,160 --> 00:45:04,240 sitting at home earning 90% of your wage. 1039 00:45:04,240 --> 00:45:07,650 That is the opportunity cost of working. 1040 00:45:07,650 --> 00:45:10,140 It's that you have forgone the ability to sit at home and get 1041 00:45:10,140 --> 00:45:11,920 90% of your wage. 1042 00:45:11,920 --> 00:45:15,280 So what is your net wage if you work? 1043 00:45:15,280 --> 00:45:17,200 10% of what you would have earned. 1044 00:45:17,200 --> 00:45:20,150 So if you're earning $20 an hour, then your choice is you 1045 00:45:20,150 --> 00:45:24,110 can sit at home for $18 or work for $20 an hour. 1046 00:45:24,110 --> 00:45:27,470 So your net wage for working is $2 an hour. 1047 00:45:27,470 --> 00:45:34,380 The return to work, the opportunity cost of leisure is 1048 00:45:34,380 --> 00:45:35,830 only $2 an hour. 1049 00:45:35,830 --> 00:45:38,030 You're only forgoing $2 an hour by sitting at home. 1050 00:45:38,030 --> 00:45:41,390 But wait, there's more. 1051 00:45:41,390 --> 00:45:44,340 If you sit at home, you don't have to pay the payroll taxes 1052 00:45:44,340 --> 00:45:48,370 of financing the system that are almost 50%. 1053 00:45:48,370 --> 00:45:52,060 If you work, you have to pay the payroll taxes. 1054 00:45:52,060 --> 00:45:55,910 Which means that if you work, you lose money. 1055 00:45:55,910 --> 00:45:58,600 Because if you work, you forgo getting to sit at home at 90% 1056 00:45:58,600 --> 00:46:00,480 of your wage, and you pay a tax that's 1057 00:46:00,480 --> 00:46:02,400 about 40% of your wages. 1058 00:46:02,400 --> 00:46:06,080 So, actually, you will lose 30% of your salary by working 1059 00:46:06,080 --> 00:46:08,080 relative to sitting at home. 1060 00:46:08,080 --> 00:46:11,140 Guess what people do in the Netherlands at 55? 1061 00:46:11,140 --> 00:46:12,050 They sit at home. 1062 00:46:12,050 --> 00:46:15,440 No one works after 55 in the Netherlands on the books. 1063 00:46:15,440 --> 00:46:16,810 They work off the books painting houses 1064 00:46:16,810 --> 00:46:18,160 and doing odd jobs. 1065 00:46:18,160 --> 00:46:20,280 No one works on the books after 55. 1066 00:46:20,280 --> 00:46:21,610 Economics works, guys. 1067 00:46:21,610 --> 00:46:23,540 If you pay your guys to stay at home, they stay at home. 1068 00:46:26,160 --> 00:46:30,040 Now, if you ask European politicians, why do you have 1069 00:46:30,040 --> 00:46:31,200 this screwed up system? 1070 00:46:31,200 --> 00:46:32,780 They'll say, well, it's easy. 1071 00:46:32,780 --> 00:46:34,820 We want to get those old guys out to make jobs 1072 00:46:34,820 --> 00:46:36,470 for the young guys. 1073 00:46:36,470 --> 00:46:38,980 We need to pay those old guys to stay at home to make jobs 1074 00:46:38,980 --> 00:46:40,490 for the young guys. 1075 00:46:40,490 --> 00:46:42,330 And then you point out, have you noticed that Europe has 1076 00:46:42,330 --> 00:46:45,060 higher unemployment than American, even though we don't 1077 00:46:45,060 --> 00:46:46,150 do that and you do? 1078 00:46:46,150 --> 00:46:48,140 And that's because you're wrong. 1079 00:46:48,140 --> 00:46:49,450 It doesn't work that way. 1080 00:46:49,450 --> 00:46:52,880 Because by paying the old guys to sit at home, you have to 1081 00:46:52,880 --> 00:46:56,540 have such high taxes that no one makes new businesses. 1082 00:46:56,540 --> 00:46:59,470 And so there's not jobs for the young guys to have. 1083 00:46:59,470 --> 00:47:00,510 So it's true. 1084 00:47:00,510 --> 00:47:02,500 In theory, you've made jobs for the young guys by leaving 1085 00:47:02,500 --> 00:47:03,690 the old guys at home. 1086 00:47:03,690 --> 00:47:07,480 But by imposing the 40% tax rate that you've had to impose 1087 00:47:07,480 --> 00:47:10,380 to make it possible to pay the old guys to sit at home, 1088 00:47:10,380 --> 00:47:12,410 you've killed job creation in your country. 1089 00:47:12,410 --> 00:47:14,250 And, as a result, there's not the jobs for 1090 00:47:14,250 --> 00:47:17,180 young guys to get. 1091 00:47:17,180 --> 00:47:20,250 That's a very long-winded way of answering your question 1092 00:47:20,250 --> 00:47:26,300 that supply, in substance, creates its own demand. 1093 00:47:26,300 --> 00:47:28,060 So more labor supply will not necessarily cause more 1094 00:47:28,060 --> 00:47:29,710 unemployment. 1095 00:47:29,710 --> 00:47:33,700 And we're going to talk about one more thing before we stop. 1096 00:47:33,700 --> 00:47:35,920 I've just talked about a vast empirical literature in how 1097 00:47:35,920 --> 00:47:39,570 people understand the effects of wages on labor supply. 1098 00:47:39,570 --> 00:47:41,680 Well, how do they do it? 1099 00:47:41,680 --> 00:47:45,180 Well, you could say, look, we can just look at how you earn 1100 00:47:45,180 --> 00:47:47,180 a higher wage than you do. 1101 00:47:47,180 --> 00:47:50,290 And we'll ask, do you work harder than you? 1102 00:47:50,290 --> 00:47:53,280 And we'll say, the guys who earn higher wages work harder. 1103 00:47:53,280 --> 00:47:55,310 If guys who earn higher wages work harder, that means labor 1104 00:47:55,310 --> 00:47:56,600 supply slopes up. 1105 00:47:56,600 --> 00:47:58,420 If guys who earn higher wages don't work harder, that means 1106 00:47:58,420 --> 00:47:59,880 labor supply slopes down. 1107 00:47:59,880 --> 00:48:01,540 What's wrong with that? 1108 00:48:01,540 --> 00:48:01,970 Yeah. 1109 00:48:01,970 --> 00:48:04,434 AUDIENCE: Those who are getting paid more probably are 1110 00:48:04,434 --> 00:48:06,130 getting paid because they want to work harder. 1111 00:48:06,130 --> 00:48:07,260 PROFESSOR: Yeah. 1112 00:48:07,260 --> 00:48:08,940 Maybe you guys are different. 1113 00:48:08,940 --> 00:48:11,270 Maybe you're talented, and you're not. 1114 00:48:11,270 --> 00:48:13,740 And maybe because you're talented, maybe you're driven, 1115 00:48:13,740 --> 00:48:15,580 and you're not. 1116 00:48:15,580 --> 00:48:18,520 And because you're driven, you work harder and get paid a 1117 00:48:18,520 --> 00:48:20,150 higher wage. 1118 00:48:20,150 --> 00:48:24,190 So I'm not learning anything about the causal effect of the 1119 00:48:24,190 --> 00:48:25,400 wage on your labor supply. 1120 00:48:25,400 --> 00:48:30,030 I've just documented a correlation between wage and 1121 00:48:30,030 --> 00:48:31,410 labor supply. 1122 00:48:31,410 --> 00:48:34,600 How can we get the causal effect of your wage on your 1123 00:48:34,600 --> 00:48:35,270 labor supply? 1124 00:48:35,270 --> 00:48:38,090 Well, once again, ideally we'd run an experiment. 1125 00:48:38,090 --> 00:48:40,940 We'd assign you a higher wage. 1126 00:48:40,940 --> 00:48:42,260 We'd find someone just like you. 1127 00:48:42,260 --> 00:48:43,590 Not you, you're not driven. 1128 00:48:43,590 --> 00:48:45,470 We find someone just like you. 1129 00:48:45,470 --> 00:48:45,560 No offense. 1130 00:48:45,560 --> 00:48:47,170 You know I'm joking. 1131 00:48:47,170 --> 00:48:50,560 We'd find someone just like you and, randomly, by a flip 1132 00:48:50,560 --> 00:48:52,260 of a coin, assign them a lower wage. 1133 00:48:52,260 --> 00:48:56,070 And we'd see how your labor supply differed. 1134 00:48:56,070 --> 00:48:57,560 Now, it seems like you couldn't do that. 1135 00:48:57,560 --> 00:48:59,330 But, in fact, the US did that. 1136 00:48:59,330 --> 00:49:01,770 In the 1970s, we ran what was called the negative income tax 1137 00:49:01,770 --> 00:49:04,740 experiment where we literally assigned people different wage 1138 00:49:04,740 --> 00:49:08,250 rates through taxing them by different amounts. 1139 00:49:08,250 --> 00:49:10,990 And that was part of what gave us this very convincing 1140 00:49:10,990 --> 00:49:14,000 evidence from 40 years ago of these responses. 1141 00:49:14,000 --> 00:49:15,990 So where we get this is from a real experiment we 1142 00:49:15,990 --> 00:49:17,780 ran 40 years ago. 1143 00:49:17,780 --> 00:49:20,460 The problem is that's a pretty hard experiment to run. 1144 00:49:20,460 --> 00:49:23,850 It's pretty expensive, and there's some ethical issues. 1145 00:49:23,850 --> 00:49:26,560 So what do you do today to estimate that? 1146 00:49:26,560 --> 00:49:28,996 What you can do today is say, well, we can't run the 1147 00:49:28,996 --> 00:49:29,042 experiment. 1148 00:49:29,042 --> 00:49:31,780 But the government runs it for us every time 1149 00:49:31,780 --> 00:49:34,060 they change tax rates. 1150 00:49:34,060 --> 00:49:36,490 Because if you take two people that are identical-- 1151 00:49:36,490 --> 00:49:39,630 so let's say you and you were identical-- 1152 00:49:39,630 --> 00:49:41,880 and I change your tax rate because you live in 1153 00:49:41,880 --> 00:49:43,000 Massachusetts. 1154 00:49:43,000 --> 00:49:45,180 I don't change your tax rate because you live in New York. 1155 00:49:45,180 --> 00:49:47,760 I can see what happens to you relative to you. 1156 00:49:47,760 --> 00:49:51,060 Because I've now essentially run this experiment by the 1157 00:49:51,060 --> 00:49:51,990 government changing someone's tax rate 1158 00:49:51,990 --> 00:49:54,500 and not someone else's. 1159 00:49:54,500 --> 00:49:57,290 That's the way we do it if we can't run a true, randomized 1160 00:49:57,290 --> 00:49:57,740 experiment. 1161 00:49:57,740 --> 00:50:00,690 And that gives very, very similar answers. 1162 00:50:00,690 --> 00:50:02,470 Let me stop there. 1163 00:50:02,470 --> 00:50:04,880 And we will come back. 1164 00:50:04,880 --> 00:50:10,670 Next lecture we'll talk about applying this model. 1165 00:50:10,670 --> 00:50:12,950 So I guess in section on Friday, we 1166 00:50:12,950 --> 00:50:14,330 review for the exam. 1167 00:50:14,330 --> 00:50:16,030 In section on Friday, we review for the exam. 1168 00:50:16,030 --> 00:50:17,040 So show up to that. 1169 00:50:17,040 --> 00:50:18,650 And the exam is next week. 1170 00:50:18,650 --> 00:50:24,560 The exam will cover through my next lecture.