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How Bargaining in Marriage drives Marriage Market Equilibrium

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  • Robert A. Pollak

Abstract

This paper investigates marriage market equilibrium under the assumption that Bargaining In Marriage (BIM) determines allocation within marriage. Prospective spouses, when they meet in the marriage market, are assumed to foresee the outcome of BIM and rank prospective spouses on the basis of the utilities they foresee emerging from BIM. Under these assumptions, the marriage market is the first stage of a multi-stage game – in the simplest case, a two-stage game – that must be solved by backwards induction. The marriage market determines both who marries and, among those who marry, who marries whom. Bargaining in the second and any subsequent stages determines allocation within each marriage. When BIM determines allocation within marriage, the appropriate framework for analyzing marriage market equilibrium is the Gale-Shapley matching model. In contrast, the standard model of marriage market equilibrium assumes that prospective spouses make Binding Agreements in the Marriage Market (BAMM) that determine allocation within marriage. If we assume BAMM and transferable utility, then the appropriate framework for analyzing marriage market equilibrium is the Koopmans-Beckmann-Shapley-Shubik assignment model. BIM and BAMM have different implications not only for allocation within marriage but also for who marries, who marries whom, the number of marriages, and the Pareto efficiency of marriage market equilibrium.

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  • Robert A. Pollak, 2017. "How Bargaining in Marriage drives Marriage Market Equilibrium," NBER Working Papers 24000, National Bureau of Economic Research, Inc.
  • Handle: RePEc:nbr:nberwo:24000
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    1. Michael J. Brien & Lee A. Lillard & Steven Stern, 2006. "Cohabitation, Marriage, And Divorce In A Model Of Match Quality," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 47(2), pages 451-494, May.
    2. Duncan Thomas, 1990. "Intra-Household Resource Allocation: An Inferential Approach," Journal of Human Resources, University of Wisconsin Press, vol. 25(4), pages 635-664.
    3. Pierre-André Chiappori & Monica Costa Dias & Costas Meghir, 2018. "The Marriage Market, Labor Supply, and Education Choice," Journal of Political Economy, University of Chicago Press, vol. 126(S1), pages 26-72.
    4. Del Boca, Daniela & Flinn, Christopher J., 2014. "Household behavior and the marriage market," Journal of Economic Theory, Elsevier, vol. 150(C), pages 515-550.
    5. Alex Armand & Orazio Attanasio & Pedro Carneiro & Valérie Lechene, 2020. "The Effect of Gender-Targeted Conditional Cash Transfers on Household Expenditures: Evidence from a Randomized Experiment," The Economic Journal, Royal Economic Society, vol. 130(631), pages 1875-1897.
    6. Alvin Roth, 2008. "Deferred acceptance algorithms: history, theory, practice, and open questions," International Journal of Game Theory, Springer;Game Theory Society, vol. 36(3), pages 537-569, March.
    7. Josh Angrist, 2002. "How Do Sex Ratios Affect Marriage and Labor Markets? Evidence from America's Second Generation," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 117(3), pages 997-1038.
    8. M. R. Rosenzweig & Stark, O. (ed.), 1997. "Handbook of Population and Family Economics," Handbook of Population and Family Economics, Elsevier, edition 1, volume 1, number 1.
    9. Jennifer Ward-Batts, 2008. "Out of the Wallet and into the Purse: Using Micro Data to Test Income Pooling," Journal of Human Resources, University of Wisconsin Press, vol. 43(2), pages 325-351.
    10. Betsey Stevenson & Justin Wolfers, 2007. "Marriage and Divorce: Changes and their Driving Forces," Journal of Economic Perspectives, American Economic Association, vol. 21(2), pages 27-52, Spring.
    11. Manuela Angelucci & Orazio Attanasio, 2013. "The Demand for Food of Poor Urban Mexican Households: Understanding Policy Impacts Using Structural Models," American Economic Journal: Economic Policy, American Economic Association, vol. 5(1), pages 146-178, February.
    12. Luis Rubalcava & Graciela Teruel & Duncan Thomas, 2009. "Investments, Time Preferences, and Public Transfers Paid to Women," Economic Development and Cultural Change, University of Chicago Press, vol. 57(3), pages 507-538, April.
    13. Jeremy Lise & Ken Yamada, 2019. "Household Sharing and Commitment: Evidence from Panel Data on Individual Expenditures and Time Use," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 86(5), pages 2184-2219.
    14. Jennifer Roff, 2017. "Cleaning in the Shadow of the Law? Bargaining, Marital Investment, and the Impact of Divorce Law on Husbands' Intrahousehold Work," Journal of Law and Economics, University of Chicago Press, vol. 60(1), pages 115-134.
    15. Shelly Lundberg & Robert Pollak, 2003. "Efficiency in Marriage," Review of Economics of the Household, Springer, vol. 1(3), pages 153-167, September.
    16. Grossbard, Shoshana, 2016. "Marriage and Marriage Markets," IZA Discussion Papers 10312, Institute of Labor Economics (IZA).
    17. Ligon, Ethan, 2002. "Dynamic bargaining in households (with an application to Bangladesh)," CUDARE Working Paper Series 972, University of California at Berkeley, Department of Agricultural and Resource Economics and Policy.
    18. Leah Platt Boustan & Carola Frydman & Robert A. Margo, 2014. "Human Capital in History: The American Record," NBER Books, National Bureau of Economic Research, Inc, number bous12-1.
    19. Alex Armand & Orazio Attanasio & Pedro Carneiro & Valérie Lechene, 0. "The Effect of Gender-Targeted Conditional Cash Transfers on Household Expenditures: Evidence from a Randomized Experiment," Economic Journal, Royal Economic Society, vol. 130(631), pages 1875-1897.
    20. Marcos A. Rangel, 2006. "Alimony Rights and Intrahousehold Allocation of Resources: Evidence from Brazil," Economic Journal, Royal Economic Society, vol. 116(513), pages 627-658, July.
    21. Becker, Gary S, 1973. "A Theory of Marriage: Part I," Journal of Political Economy, University of Chicago Press, vol. 81(4), pages 813-846, July-Aug..
    22. Alessandra Voena, 2015. "Yours, Mine, and Ours: Do Divorce Laws Affect the Intertemporal Behavior of Married Couples?," American Economic Review, American Economic Association, vol. 105(8), pages 2295-2332, August.
    23. Eugene Choo & Aloysius Siow, 2006. "Who Marries Whom and Why," Journal of Political Economy, University of Chicago Press, vol. 114(1), pages 175-201, February.
    24. Marjorie B. McElroy, 1990. "The Empirical Content of Nash-Bargained Household Behavior," Journal of Human Resources, University of Wisconsin Press, vol. 25(4), pages 559-583.
    25. Pierre-Andre Chiappori & Bernard Fortin & Guy Lacroix, 2002. "Marriage Market, Divorce Legislation, and Household Labor Supply," Journal of Political Economy, University of Chicago Press, vol. 110(1), pages 37-72, February.
    26. Shelly J. Lundberg & Robert A. Pollak & Terence J. Wales, 1997. "Do Husbands and Wives Pool Their Resources? Evidence from the United Kingdom Child Benefit," Journal of Human Resources, University of Wisconsin Press, vol. 32(3), pages 463-480.
    27. Chiappori, Pierre-Andre, 1992. "Collective Labor Supply and Welfare," Journal of Political Economy, University of Chicago Press, vol. 100(3), pages 437-467, June.
    28. Theodore C. Bergstrom, 1996. "Economics in a Family Way," Journal of Economic Literature, American Economic Association, vol. 34(4), pages 1903-1934, December.
    29. Siwan Anderson, 2007. "The Economics of Dowry and Brideprice," Journal of Economic Perspectives, American Economic Association, vol. 21(4), pages 151-174, Fall.
    30. T. Paul Schultz, 1990. "Testing the Neoclassical Model of Family Labor Supply and Fertility," Journal of Human Resources, University of Wisconsin Press, vol. 25(4), pages 599-634.
    31. Ligon, Ethan, 2002. "Dynamic bargaining in households (with application to Bangladesh)," Department of Agricultural & Resource Economics, UC Berkeley, Working Paper Series qt1t52k4c5, Department of Agricultural & Resource Economics, UC Berkeley.
    32. Ethan Ligon & Jonathan P. Thomas & Tim Worrall, 2002. "Informal Insurance Arrangements with Limited Commitment: Theory and Evidence from Village Economies," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 69(1), pages 209-244.
    33. Betsey Stevenson, 2007. "The Impact of Divorce Laws on Marriage-Specific Capital," Journal of Labor Economics, University of Chicago Press, vol. 25(1), pages 75-94.
    34. Robert A. Pollak, 2016. "Marriage Market Equilibrium," NBER Working Papers 22309, National Bureau of Economic Research, Inc.
    35. Pierre-André Chiappori & Murat Iyigun & Yoram Weiss, 2009. "Investment in Schooling and the Marriage Market," American Economic Review, American Economic Association, vol. 99(5), pages 1689-1713, December.
    36. Rochford, Sharon C., 1984. "Symmetrically pairwise-bargained allocations in an assignment market," Journal of Economic Theory, Elsevier, vol. 34(2), pages 262-281, December.
    37. Orazio Attanasio & Valerie Lechene, 2002. "Tests of Income Pooling in Household Decisions," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 5(4), pages 720-748, October.
    38. Shelly Lundberg & Robert A. Pollak & Jenna Stearns, 2016. "Family Inequality: Diverging Patterns in Marriage, Cohabitation, and Childbearing," Journal of Economic Perspectives, American Economic Association, vol. 30(2), pages 79-102, Spring.
    39. Crawford, Vincent P & Rochford, Sharon C, 1986. "Bargaining and Competition in Matching Markets," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 27(2), pages 329-348, June.
    40. Browning,Martin & Chiappori,Pierre-André & Weiss,Yoram, 2014. "Economics of the Family," Cambridge Books, Cambridge University Press, number 9780521795395.
    41. Samuel Preston & John McDonald, 1979. "The incidence of divorce within cohorts of American marriages contracted since the civil war," Demography, Springer;Population Association of America (PAA), vol. 16(1), pages 1-25, February.
    42. Chiappori, Pierre-Andre, 1988. "Rational Household Labor Supply," Econometrica, Econometric Society, vol. 56(1), pages 63-90, January.
    43. Pierre-André CHIAPPORI, 2015. "Gary Becker’sContribution to the Economics of Matching and Marriage," JODE - Journal of Demographic Economics, Cambridge University Press, vol. 81(1), pages 7-11, March.
    44. Gary S. Becker, 1981. "A Treatise on the Family," NBER Books, National Bureau of Economic Research, Inc, number beck81-1.
    45. Hector Chade & Jan Eeckhout & Lones Smith, 2017. "Sorting through Search and Matching Models in Economics," Journal of Economic Literature, American Economic Association, vol. 55(2), pages 493-544, June.
    46. Jere R. Behrman & John Hoddinott, 2005. "Programme Evaluation with Unobserved Heterogeneity and Selective Implementation: The Mexican PROGRESA Impact on Child Nutrition," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 67(4), pages 547-569, August.
    47. Manser, Marilyn & Brown, Murray, 1980. "Marriage and Household Decision-Making: A Bargaining Analysis," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 21(1), pages 31-44, February.
    48. Robert A. Pollak, 2005. "Bargaining Power in Marriage: Earnings, Wage Rates and Household Production," NBER Working Papers 11239, National Bureau of Economic Research, Inc.
    49. Maurizio Mazzocco, 2007. "Household Intertemporal Behaviour: A Collective Characterization and a Test of Commitment," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 74(3), pages 857-895.
    50. Bennett, Elaine, 1988. "Consistent bargaining conjectures in marriage and matching," Journal of Economic Theory, Elsevier, vol. 45(2), pages 392-407, August.
    51. Murat Nick & P. Randall Walsh, 2007. "Building the Family Nest: Premarital Investments, Marriage Markets, and Spousal Allocations," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 74(2), pages 507-535.
    52. McElroy, Marjorie B & Horney, Mary Jean, 1981. "Nash-Bargained Household Decisions: Toward a Generalization of the Theory of Demand," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 22(2), pages 333-349, June.
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    1. Hiller, Victor & Wu, Jiabin & Zhang, Hanzhe, 2023. "Marital preferences and stable matching in cultural evolution," Journal of Economic Theory, Elsevier, vol. 210(C).
    2. Fernández-Kranz, Daniel & Roff, Jennifer Louise & Sun, Hugette, 2018. "Can Reduced Child Support Make Joint Custody Bad for Children? The Role of Economic Incentives in U.S. Divorce Law on Child Outcomes," IZA Discussion Papers 12025, Institute of Labor Economics (IZA).
    3. Jiabin Wu, 2021. "Matching markets and cultural selection," Review of Economic Design, Springer;Society for Economic Design, vol. 25(4), pages 267-288, December.
    4. David Boto‐García & Federico Perali, 2024. "The association between marital locus of control and break‐up intentions," American Journal of Economics and Sociology, Wiley Blackwell, vol. 83(1), pages 35-57, January.
    5. Eva Dziadula, 2022. "Match quality and divorce among naturalized U.S. citizens," Southern Economic Journal, John Wiley & Sons, vol. 89(1), pages 37-61, July.
    6. Fernández-Kranz, Daniel & Roff, Jennifer Louise, 2021. "Commitments and the Marital Match: The Effect of Alimony Reform on Assortative Matching," IZA Discussion Papers 14877, Institute of Labor Economics (IZA).
    7. Kranz, Daniel Fernández & Roff, Jennifer & Sun, Hugette, 2021. "Can economic incentives for joint custody harm children of divorced parents? Evidence from state variation in child support laws," Journal of Economic Behavior & Organization, Elsevier, vol. 189(C), pages 1-27.
    8. Berliant, Marcus & Thakur, Sounak, 2019. "Commitment and matching in the marriage market," MPRA Paper 96001, University Library of Munich, Germany.

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    More about this item

    JEL classification:

    • D1 - Microeconomics - - Household Behavior
    • J12 - Labor and Demographic Economics - - Demographic Economics - - - Marriage; Marital Dissolution; Family Structure
    • K36 - Law and Economics - - Other Substantive Areas of Law - - - Family and Personal Law

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