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

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7. Matching on the Marriage Market: Theory 329 requires the existence of surplus allocations such that which implies that u¯x,y0 + vx0 ,ym ≥ h(¯x, ym), ux0 ,ym + v¯x,y ≥ h(x 0 ,y 0 ), u¯x,y 0 + v¯x,y0 = h(¯x, y0), ux0ym + vx0 ,ym = h(x 0 ,ym), h(¯x, y0)+h(x 0 ,ym) ≥ h(x 0 ,y 0 )+h(¯x, ym) and contradicts (strict) sub modularity. Eliminating this couple, and restricting attention to the next best pair, that is the second best man among men and the second worst woman among all married women must marry too, and so on.
330 7. Matching on the Marriage Market: Theory 7.6 References [1] Anderson, Siwan, ‘The Economics of Dowry and Bride Price’, Journal of Economic Perspectives, 21 (2007), 151-174. [2] Becker, Gary, ‘A Theory of Marriage: Part 1’, Journal of Political Economy, 81 (1973), 813-846. [3] Becker, Gary, Treatise on the family, (Cambridge Mass: Harvard University Press, 1991). [4] Becker, Gary, and Kevin M. Murphy, Accounting for Tastes, (Cambridge Mass: Harvard University Press, 1996) [5] Becker, Gary, Human Capital, (Third edition, Chicago, Chicago University Press, 1993). [6] Bergstrom, Ted and Mark Bagnoli, ‘Courtship as a Waiting Game’, Journal of Political Economy, 101 (1993), 185-202. [7] Burdett, Kenneth and Melvyn G. Coles, ‘Long-Term Partnership Formation: Marriage and Employment’, The Economic Journal, 109 (1999), 307-334. [8] Crawford, Vincent P., ‘Comparative statics in Matching Markets’, Journal of Economic Theory, 54 (1991), 389-400. [9] Chiappori, P.A., R. McCann and L. Nesheim, “Hedonic Price Equilibria, Stable Matching, And Optimal Transport: Equivalence, Topology, And Uniqueness”, Economic Theory, 42 2 (2010), 317-354 [10] Chiappori, P.A., and P. Reny, ‘Matching to share risk’, Mimeo, University of Chicago (2006). [11] Diamond, Peter A., ‘Aggregate Demand Management in Search Equilibrium’, Journal of Political Economy, 90 (1982), 881-894. [12] Ekeland, I., "Notes on optimal transportation", Economic Theory, 42 2 (2010), 337-359. [13] Gale, David and Lloyd Shapley, ‘College Admissions and the Stability of Marriage’, American Mathematical Monthly, 69 (1962), 9-15. [14] Gale, David, The Theory of Linear Economic Models, (New York: McGraw-Hill, 1960). [15] Galichon, A., and B. Salanié, ‘Matching with Trade-offs: Revealed Preferences over Competing Characteristics’, mimeo, Columbia University, 2009
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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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380 8. Sharing the gains from marri
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392 9. Investment in Schooling and
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436 10. An equilibrium model of mar
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460 11. Marriage, Divorce, Children
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Pierre André Chiappori (Columbia) "Family Economics" - Cemmap

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