IDEAS home Printed from https://ideas.repec.org/p/ris/msuecw/2019_011.html
   My bibliography  Save this paper

An Investment-and-Marriage Model with Differential Fecundity

Author

Listed:
  • Zhang, Hanzhe

    (Michigan State University, Department of Economics)

Abstract

I build an equilibrium investment-and-marriage model with differential fecundity to explain stylized facts about education, income, and marriage for Americans born in the twentieth century that had not been explained in a unified way. The most novel finding is an explanation for why women attend college at a higher rate and earn a lower average income than men. Differential fecundity and an equilibrium marriage market form the basis of my explanation. The model also accounts for gender-specific relationships between age at marriage and income, and the evolving relationship between age at marriage and spousal income for women. I provide evidence to support my theory and calibrate the model to conduct counterfactual analyses.

Suggested Citation

  • Zhang, Hanzhe, 2019. "An Investment-and-Marriage Model with Differential Fecundity," Working Papers 2019-11, Michigan State University, Department of Economics.
  • Handle: RePEc:ris:msuecw:2019_011
    as

    Download full text from publisher

    File URL: http://econ.msu.edu/repec/wp/1806InvestMarriage.pdf
    File Function: Full text
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Jérôme Adda & Christian Dustmann & Katrien Stevens, 2017. "The Career Costs of Children," Journal of Political Economy, University of Chicago Press, vol. 125(2), pages 293-337.
    2. Claudia Goldin & Lawrence F. Katz & Ilyana Kuziemko, 2006. "The Homecoming of American College Women: The Reversal of the College Gender Gap," Journal of Economic Perspectives, American Economic Association, vol. 20(4), pages 133-156, Fall.
    3. Bergstrom, Theodore C & Bagnoli, Mark, 1993. "Courtship as a Waiting Game," Journal of Political Economy, University of Chicago Press, vol. 101(1), pages 185-202, February.
    4. Lawrence F. Katz & Kevin M. Murphy, 1992. "Changes in Relative Wages, 1963–1987: Supply and Demand Factors," The Quarterly Journal of Economics, Oxford University Press, vol. 107(1), pages 35-78.
    5. Lucie Schmidt, 2005. "Infertility Insurance Mandates and Fertility," American Economic Review, American Economic Association, vol. 95(2), pages 204-208, May.
    6. David Card & Thomas Lemieux, 2001. "Can Falling Supply Explain the Rising Return to College for Younger Men? A Cohort-Based Analysis," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 116(2), pages 705-746.
    7. Gretsky, Neil E & Ostroy, Joseph M & Zame, William R, 1992. "The Nonatomic Assignment Model," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 2(1), pages 103-127, January.
    8. Goldin, Claudia, 1992. "Understanding the Gender Gap: An Economic History of American Women," OUP Catalogue, Oxford University Press, number 9780195072709, Decembrie.
    9. Jeremy Greenwood & Nezih Guner & Georgi Kocharkov & Cezar Santos, 2014. "Marry Your Like: Assortative Mating and Income Inequality," American Economic Review, American Economic Association, vol. 104(5), pages 348-353, May.
    10. Kerwin Kofi Charles & Ming-Ching Luoh, 2003. "Gender Differences in Completed Schooling," The Review of Economics and Statistics, MIT Press, vol. 85(3), pages 559-577, August.
    11. 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.
    12. 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.
    13. Coles, M & Francesconi, M, 2013. "Equilibrium Search and the Impact of Equal Opportunities for Women," Economics Discussion Papers 9010, University of Essex, Department of Economics.
    14. Jeremy Greenwood & Nezih Guner & Georgi Kocharkov & Cezar Santos, 2016. "Technology and the Changing Family: A Unified Model of Marriage, Divorce, Educational Attainment, and Married Female Labor-Force Participation," American Economic Journal: Macroeconomics, American Economic Association, vol. 8(1), pages 1-41, January.
    15. Christopher Dougherty, 2005. "Why Are the Returns to Schooling Higher for Women than for Men?," Journal of Human Resources, University of Wisconsin Press, vol. 40(4), pages 969-988.
    16. Pierre-André Chiappori & Sonia Oreffice & Climent Quintana-Domeque, 2012. "Fatter Attraction: Anthropometric and Socioeconomic Matching on the Marriage Market," Journal of Political Economy, University of Chicago Press, vol. 120(4), pages 659-695.
    17. Christine Schwartz & Robert Mare, 2005. "Trends in educational assortative marriage from 1940 to 2003," Demography, Springer;Population Association of America (PAA), vol. 42(4), pages 621-646, November.
    18. Garcia-Moran, Eva M., 2018. "Differential fecundity and child custody," Journal of Economic Dynamics and Control, Elsevier, vol. 90(C), pages 156-170.
    19. Claudia Goldin & Lawrence F. Katz, 2002. "The Power of the Pill: Oral Contraceptives and Women's Career and Marriage Decisions," Journal of Political Economy, University of Chicago Press, vol. 110(4), pages 730-770, August.
    20. Zhang, Junsen, 1995. "Do men with higher wages marry earlier or later?," Economics Letters, Elsevier, vol. 49(2), pages 193-196, August.
    21. Jeanne Lafortune & Murat Iyigun, 2016. "Why Wait? A Century of Education, Marriage Timing and Gender Roles," Documentos de Trabajo 468, Instituto de Economia. Pontificia Universidad Católica de Chile..
    22. William H. J. Hubbard, 2011. "The Phantom Gender Difference in the College Wage Premium," Journal of Human Resources, University of Wisconsin Press, vol. 46(3), pages 568-586.
    23. Pierre-André Chiappori & Bernard Salanié & Yoram Weiss, 2017. "Partner Choice, Investment in Children, and the Marital College Premium," American Economic Review, American Economic Association, vol. 107(8), pages 2109-2167, August.
    24. Suqin Ge, 2011. "Women's College Decisions: How Much Does Marriage Matter?," Journal of Labor Economics, University of Chicago Press, vol. 29(4), pages 773-818.
    25. Thomas Diprete & Claudia Buchmann, 2006. "Gender-specific trends in the value of education and the emerging gender gap in college completion," Demography, Springer;Population Association of America (PAA), vol. 43(1), pages 1-24, February.
    26. Bergstrom, Theodore C & Cornes, Richard C, 1983. "Independence of Allocative Efficiency from Distribution in the Theory of Public Goods," Econometrica, Econometric Society, vol. 51(6), pages 1753-1765, November.
    27. Gustaf Bruze, 2015. "Male And Female Marriage Returns To Schooling," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 56, pages 207-234, February.
    28. Melvyn G. Coles & Marco Francesconi, 2011. "On The Emergence Of Toyboys: The Timing Of Marriage With Aging And Uncertain Careers," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 52(3), pages 825-853, August.
    29. 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..
    30. Dessy Sylvain & Djebbari Habiba, 2010. "High-Powered Careers and Marriage: Can Women Have It All?," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 10(1), pages 1-33, May.
    31. Acemoglu, Daron & Autor, David, 2011. "Skills, Tasks and Technologies: Implications for Employment and Earnings," Handbook of Labor Economics, in: O. Ashenfelter & D. Card (ed.), Handbook of Labor Economics, edition 1, volume 4, chapter 12, pages 1043-1171, Elsevier.
    32. Marianne Bitler & Lucie Schmidt, 2012. "Utilization of Infertility Treatments: The Effects of Insurance Mandates," Demography, Springer;Population Association of America (PAA), vol. 49(1), pages 125-149, February.
    33. David J. Deming, 2017. "The Growing Importance of Social Skills in the Labor Market," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 132(4), pages 1593-1640.
    34. Jeanne Lafortune, 2013. "Making Yourself Attractive: Pre-marital Investments and the Returns to Education in the Marriage Market," American Economic Journal: Applied Economics, American Economic Association, vol. 5(2), pages 151-178, April.
    35. Javier Díaz‐Giménez & Eugenio Giolito, 2013. "Accounting For The Timing Of First Marriage," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 54(1), pages 135-158, February.
    36. 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.
    37. Schmidt, Lucie, 2007. "Effects of infertility insurance mandates on fertility," Journal of Health Economics, Elsevier, vol. 26(3), pages 431-446, May.
    38. Browning,Martin & Chiappori,Pierre-André & Weiss,Yoram, 2014. "Economics of the Family," Cambridge Books, Cambridge University Press, number 9780521795395, January.
    39. Gary S. Becker & William H. J. Hubbard & Kevin M. Murphy, 2010. "Explaining the Worldwide Boom in Higher Education of Women," Journal of Human Capital, University of Chicago Press, vol. 4(3), pages 203-241.
    40. Peter Todd & Francesco Billari & Jorge Simão, 2005. "Aggregate age-at-marriage patterns from individual mate-search heuristics," Demography, Springer;Population Association of America (PAA), vol. 42(3), pages 559-574, August.
    41. Aloysius Siow, 1998. "Differential Fecundity, Markets, and Gender Roles," Journal of Political Economy, University of Chicago Press, vol. 106(2), pages 334-354, April.
    42. Gary S. Becker & William H. J. Hubbard & Kevin M. Murphy, 2010. "Explaining the Worldwide Boom in Higher Education of Women," Journal of Human Capital, University of Chicago Press, vol. 4(3), pages 203-241.
    43. David Lam, 1988. "Marriage Markets and Assortative Mating with Household Public Goods: Theoretical Results and Empirical Implications," Journal of Human Resources, University of Wisconsin Press, vol. 23(4), pages 462-487.
    44. Martha J. Bailey, 2006. "More Power to the Pill: The Impact of Contraceptive Freedom on Women's Life Cycle Labor Supply," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 121(1), pages 289-320.
    45. Casey B. Mulligan & Yona Rubinstein, 2008. "Selection, Investment, and Women's Relative Wages Over Time," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 123(3), pages 1061-1110.
    46. 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.
    47. Pierre-André Chiappori & Sonia Oreffice, 2008. "Birth Control and Female Empowerment: An Equilibrium Analysis," Journal of Political Economy, University of Chicago Press, vol. 116(1), pages 113-140, February.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. He, Simin & Wu, Jiabin & Zhang, Hanzhe, 2021. "Experimental and Noncooperative Analyses of Decentralized Matching with Transfers," Working Papers 2021-2, Michigan State University, Department of Economics.
    2. Gershoni, Naomi & Low, Corinne, 2021. "The power of time: The impact of free IVF on Women’s human capital investments," European Economic Review, Elsevier, vol. 133(C).
    3. Chuan, Amanda & Zhang, Weilong, 2023. "Non-college Occupations, Workplace Routinization, and the Gender Gap in College Enrollment," IZA Discussion Papers 16089, Institute of Labor Economics (IZA).
    4. Geghetsik Afunts & Stepan Jurajda, 2022. "Who Divorces Whom: Unilateral Divorce Legislation and the Educational Structure of Marriage," CERGE-EI Working Papers wp740, The Center for Economic Research and Graduate Education - Economics Institute, Prague.
    5. Zhang, Hanzhe & Zou, Ben, 2023. "A marriage-market perspective on risk-taking and career choices," European Economic Review, Elsevier, vol. 152(C).
    6. Zhang, Hanzhe, 2020. "Pre-matching gambles," Games and Economic Behavior, Elsevier, vol. 121(C), pages 76-89.
    7. Zhou Kit, 2023. "Choosing Sides in a Two-Sided Matching Market," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 23(2), pages 781-807, June.
    8. Zhang, Hanzhe, 2020. "A Marriage-Market Perspective on Risk-Taking and Career Choices: Theory and Evidence," Working Papers 2020-2, Michigan State University, Department of Economics.
    9. Koh, Yumi & Li, Jing & Wu, Yifan & Yi, Junjian & Zhang, Hanzhe, 2023. "Young Women in Cities," IZA Discussion Papers 16353, Institute of Labor Economics (IZA).
    10. Wu, Jiabin & Zhang, Hanzhe, 2021. "Preference evolution in different matching markets," European Economic Review, Elsevier, vol. 137(C).
    11. Chuan, A. & Zhang, W., 2021. "Non-College Occupations, Workplace Routinization, and the Gender Gap in College Enrollment," Cambridge Working Papers in Economics 2177, Faculty of Economics, University of Cambridge.
    12. Zhang, Lin, 2022. "Age matters for girls: School entry age and female graduate education," Economics of Education Review, Elsevier, vol. 86(C).
    13. Dan Anderberg & Jesper Bagger & V. Bhaskar & Tanya Wilson, 2022. "Marriage market equilibrium with matching on latent ability: Identification using a compulsory schooling expansion," Working Papers 2022_11, Business School - Economics, University of Glasgow.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Zhang, Hanzhe & Zou, Ben, 2020. "A Marriage-Market Perspective on Risk-Taking and Career Choices: Theory and Evidence," Working Papers 2020-12, Michigan State University, Department of Economics.
    2. Suqin Ge & Fang Yang, 2013. "Accounting For The Gender Gap In College Attainment," Economic Inquiry, Western Economic Association International, vol. 51(1), pages 478-499, January.
    3. Zhang, Hanzhe & Zou, Ben, 2023. "A marriage-market perspective on risk-taking and career choices," European Economic Review, Elsevier, vol. 152(C).
    4. Jeremy Greenwood & Nezih Guner & Guillaume Vandenbroucke, 2017. "Family Economics Writ Large," Journal of Economic Literature, American Economic Association, vol. 55(4), pages 1346-1434, December.
    5. Gershoni, Naomi & Low, Corinne, 2021. "The power of time: The impact of free IVF on Women’s human capital investments," European Economic Review, Elsevier, vol. 133(C).
    6. Coles, M & Francesconi, M, 2013. "Equilibrium Search and the Impact of Equal Opportunities for Women," Economics Discussion Papers 9010, University of Essex, Department of Economics.
    7. Jeremy Greenwood & Nezih Guner & Guillaume Vandenbroucke, 2017. "Family Economics Writ Large," Working Papers wp2018_1706, CEMFI.
    8. Martha J. Bailey & Brad Hershbein & Amalia R. Miller, 2012. "The Opt-In Revolution? Contraception and the Gender Gap in Wages," American Economic Journal: Applied Economics, American Economic Association, vol. 4(3), pages 225-254, July.
    9. Francine D. Blau & Lawrence M. Kahn, 2017. "The Gender Wage Gap: Extent, Trends, and Explanations," Journal of Economic Literature, American Economic Association, vol. 55(3), pages 789-865, September.
    10. Edoardo Ciscato & Simon Weber, 2020. "The role of evolving marital preferences in growing income inequality," Journal of Population Economics, Springer;European Society for Population Economics, vol. 33(1), pages 307-347, January.
    11. Chunbei Wang & Le Wang, 2017. "Knot yet: minimum marriage age law, marriage delay, and earnings," Journal of Population Economics, Springer;European Society for Population Economics, vol. 30(3), pages 771-804, July.
    12. Rania Gihleb & Osnat Lifshitz, 2022. "Dynamic Effects of Educational Assortative Mating on Labor Supply," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 46, pages 302-327, October.
    13. Ugo Bolletta & Luca Paolo Merlino, 2022. "Marriage Through Friends," Dynamic Games and Applications, Springer, vol. 12(4), pages 1046-1066, December.
    14. Arnaud Dupuy & Alfred Galichon, 2014. "Personality Traits and the Marriage Market," Journal of Political Economy, University of Chicago Press, vol. 122(6), pages 1271-1319.
    15. Rania Gihleb & Kevin Lang, 2020. "Educational Homogamy and Assortative Mating Have Not Increased," Research in Labor Economics, in: Change at Home, in the Labor Market, and On the Job, volume 48, pages 1-26, Emerald Group Publishing Limited.
    16. Doepke, M. & Tertilt, M., 2016. "Families in Macroeconomics," Handbook of Macroeconomics, in: J. B. Taylor & Harald Uhlig (ed.), Handbook of Macroeconomics, edition 1, volume 2, chapter 0, pages 1789-1891, Elsevier.
    17. Xiaodong Fan & Hanming Fang & Simen Markussen, 2015. "Mothers' Employment and Children's Educational Gender Gap," NBER Working Papers 21183, National Bureau of Economic Research, Inc.
    18. Andrew Shephard, 2019. "Marriage market dynamics, gender, and the age gap," PIER Working Paper Archive 19-003, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
    19. Reijnders, L.S.M., 2014. "The college gender gap reversal," Research Report 14006-EEF, University of Groningen, Research Institute SOM (Systems, Organisations and Management).
    20. repec:dgr:rugsom:14006-eef is not listed on IDEAS
    21. Shelly Lundberg & Aloysius Siow, 2017. "Canadian contributions to family economics," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 50(5), pages 1304-1323, December.

    More about this item

    Keywords

    college gender gap; earnings gender gap; marriage age; nonassortative matching;
    All these keywords.

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D01 - Microeconomics - - General - - - Microeconomic Behavior: Underlying Principles
    • J11 - Labor and Demographic Economics - - Demographic Economics - - - Demographic Trends, Macroeconomic Effects, and Forecasts

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:ris:msuecw:2019_011. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Dean Olson III (email available below). General contact details of provider: https://edirc.repec.org/data/edmsuus.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.