Pierre André Chiappori (Columbia) "Family Economics" - Cemmap

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11. Marriage, Divorce, Children 473 The two branches in (11.22) reflect changes in the mother’s behavior as a function of the transfer s that she would receive if she would have remained single. In the region 0
474 11. Marriage, Divorce, Children is a constant. However, if the mother does not work when she is remarried, or works full time, the utility frontier for a remarried couple is no longer linear and the marginal impact of the transfer to the mother will depend on the net income of her new husband yh. 11.4.1 Partial equilibrium Suppose that all couples have children. Then, at given probability of remarriage, p, the equilibrium outcome is that all fathers will transfer the same amount s ∗ (p) to the mother if the marriage dissolves. That is, given that other fathers choose s0 = s ∗ (p), each father independently chooses s = s ∗ (p). This equilibrium requirement is trivially satisfied here, because the optimal choice of each father is (locally) independent of the choices of others. We refer to the equilibrium as partial because, as we shall see shortly, the remarriage and fertility rates must also be set at equilibrium levels. In this partial equilibrium, the mother works part time when she is remarried but not as single. The reason for this difference is that she must compensate her new husband for the option of sharing the adult good. The amount of time that the mother spends in market work is hm(p) = (1 + α)(wf − ĉ)+g(ĉ) − g(s∗ (p)) (11.25) γ − (1 + α)wm and a sufficient condition for an interior solution 0 (1 + α)(wf − ĉ) >g(c ∗ ) − g(ĉ). (11.26) Basically, the mother should have a sufficiently high comparative advantage in child care to motivate her to spend some time at home and the net income of the new husband should not be so high that the mother is driven completely into the market, contrary to her comparative advantage. 15 We see that when p rises and all husbands reduce their contribution, the remarried mothers increase their hours of work and thus reduce the amount of time spent with the child. The implied adult consumption in the remarried household a(p) =wmhm(p)+wf − ĉ (11.27) rises in p but the child’s utility if the mother remarries q(p) =αa(p)+γ(1 − hm(p)) + g(ĉ) (11.28) 15 The sufficient condition (11.26) is much stronger than we need because, as we shall show shortly, the equilibrium remarriage rate is bounded by 1 2 .
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Family Economics Martin Browning Pi
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iv 3.2 Householdproduction ........
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vi 6.4 IntertemporalBehavior ......
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viii 11 Marriage, Divorce, Children
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List of Figures 1.1 Marriage Rates
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xiii 4.2 Apotentiallycompensatingva
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Introduction The existence of a nuc
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two distinct solution concepts; one
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were affectedbytherisinginvestments
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Murat Iyigun, Guy Lacroix, Valérie
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Part I Models of Household Behavior
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14 1. Facts there appear to be age,
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16 1. Facts 1.1.4 Transitions The m
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18 1. Facts sumption goods within h
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20 1. Facts may not capture the ful
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22 1. Facts This process is driven
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24 1. Facts 1.4 Children Children a
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26 1. Facts a major policy concern
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28 1. Facts have means for, say, hi
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30 1. Facts [21] Michael, Robert,
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32 1. Facts Age group USA Denmark 1
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34 1. Facts Birth cohort 1931-36 19
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36 1. Facts USA Canada UK Norway Ye
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38 1. Facts Country Male Participat
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40 1. Facts Mother’s Age 20-30 31
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42 1. Facts rate per 1000, 20+ 18 1
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44 1. Facts Marriage rate per 1000
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46 1. Facts percent entering first
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48 1. Facts percent entering divorc
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50 1. Facts 100% 90% 80% 70% 60% 50
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52 1. Facts 1 0.8 0.6 0.4 0.2 0 23
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54 1. Facts 0.8 0.6 0.4 0.2 0 23 25
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56 1. Facts 0.8 0.6 0.4 0.2 0 1968
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58 1. Facts 6.8 6.6 6.4 6.2 6 5.8 2
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60 1. Facts 0.4 0.2 0 -0.2 -0.4 196
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62 1. Facts 0.6 0.4 0.2 0 1968 1970
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64 1. Facts FIGURE 1.23. Age Pyrami
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66 1. Facts 0.6 0.4 0.2 0 1930 1933
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68 1. Facts 100% 80% 60% 40% 20% 0%
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70 1. Facts 0.35 0.3 0.25 0.2 0.15
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72 1. Facts 100% 80% 60% 40% 20% 0%
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74 1. Facts Average number of child
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76 1. Facts Age 28 27 26 25 24 23 1
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78 1. Facts FIGURE 1.37. Consumptio
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80 1. Facts
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82 2. The gains from marriage for o
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84 2. The gains from marriage Q 2 y
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86 2. The gains from marriage this
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88 2. The gains from marriage as wh
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90 2. The gains from marriage ing a
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92 2. The gains from marriage absen
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94 2. The gains from marriage 2.5 C
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96 2. The gains from marriage 2.5.3
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98 2. The gains from marriage This
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100 2. The gains from marriage [14]
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102 2. The gains from marriage
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104 3. Preferences and decision mak
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158 4. The collective model: a form
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200 5. Empirical issues for the col
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244 6. Uncertainty and Dynamics in
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294 7. Matching on the Marriage Mar
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334 8. Sharing the gains from marri
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392 9. Investment in Schooling and
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Pierre André Chiappori (Columbia) "Family Economics" - Cemmap

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