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A marriage matching function with flexible spillover and substitution patterns

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  • Ismael Mourifié

    (University of Toronto)

Abstract

This paper proposes a new and easy-to-estimate marriage matching function (MMF). I show under minimal conditions the existence of the equilibrium marriage matching distribution associated with the proposed MMF and provide testable conditions under which the equilibrium is unique. This MMF allows more flexible spillover and substitution patterns than the existing MMFs. I show that the static frictionless transferable utility (TU) matching model with peer effects and the dynamic (imperfect) TU marriage matching model both generate MMFs that are each a special case of this proposed MMF. Moreover, I show that the MMF generated by the dynamic TU marriage matching model $$\grave{a}$$ a ` la Choo (Econometrica 83(4): 1373–1423, 2015) can be rationalized by a static frictionless TU marriage matching model with peer effects. I show how the estimation of this MMF can be used to estimate peer effect coefficients in a marriage matching model.

Suggested Citation

  • Ismael Mourifié, 2019. "A marriage matching function with flexible spillover and substitution patterns," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 67(2), pages 421-461, March.
    • Handle: RePEc:spr:joecth:v:67:y:2019:i:2:d:10.1007_s00199-018-1148-2
    DOI: 10.1007/s00199-018-1148-2
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    1. Rust, John, 1987. "Optimal Replacement of GMC Bus Engines: An Empirical Model of Harold Zurcher," Econometrica, Econometric Society, vol. 55(5), pages 999-1033, September.
    2. Steven Berry & Amit Gandhi & Philip Haile, 2013. "Connected Substitutes and Invertibility of Demand," Econometrica, Econometric Society, vol. 81(5), pages 2087-2111, September.
    3. Victor Chernozhukov & Christian Hansen & Martin Spindler, 2016. "hdm: High-Dimensional Metrics," CeMMAP working papers 37/16, Institute for Fiscal Studies.
    4. Konrad Menzel, 2015. "Large Matching Markets as Two‐Sided Demand Systems," Econometrica, Econometric Society, vol. 83(3), pages 897-941, May.
    5. Coralio Ballester & Antoni Calvó-Armengol & Yves Zenou, 2006. "Who's Who in Networks. Wanted: The Key Player," Econometrica, Econometric Society, vol. 74(5), pages 1403-1417, September.
    6. Shi, Xiaoxia & Shum, Matthew, 2015. "Simple Two-Stage Inference For A Class Of Partially Identified Models," Econometric Theory, Cambridge University Press, vol. 31(3), pages 493-520, June.
    7. Jesús Fernández-Villaverde & Jeremy Greenwood & Nezih Guner, 2014. "From Shame To Game In One Hundred Years: An Economic Model Of The Rise In Premarital Sex And Its De-Stigmatization," Journal of the European Economic Association, European Economic Association, vol. 12(1), pages 25-61, February.
    8. Stéphane Mechoulan, 2011. "The External Effects of Black Male Incarceration onBlack Females," Journal of Labor Economics, University of Chicago Press, vol. 29(1), pages 1-35, January.
    9. Bramoullé, Yann & Djebbari, Habiba & Fortin, Bernard, 2009. "Identification of peer effects through social networks," Journal of Econometrics, Elsevier, vol. 150(1), pages 41-55, May.
    10. Coralio Ballester & Antoni Calvó-Armengol & Yves Zenou, 2010. "Delinquent Networks," Journal of the European Economic Association, MIT Press, vol. 8(1), pages 34-61, March.
    11. Marianne Bitler & Jonah Gelbach & Hilary Hoynes & Madeline Zavodny, 2004. "The impact of welfare reform on marriage and divorce," Demography, Springer;Population Association of America (PAA), vol. 41(2), pages 213-236, May.
    12. William A. Brock & Steven N. Durlauf, 2001. "Discrete Choice with Social Interactions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 68(2), pages 235-260.
    13. Aloysius Siow, 2015. "Testing Becker's Theory of Positive Assortative Matching," Journal of Labor Economics, University of Chicago Press, vol. 33(2), pages 409-441.
    14. repec:hal:spmain:info:hdl:2441/5kmb4ke32h9ur9159sab6hvkck is not listed on IDEAS
    15. Dagsvik, John K, 2000. "Aggregation in Matching Markets," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 41(1), pages 27-57, February.
    16. Marianne Bitler & Jonah Gelbach & Hilary Hoynes & Madeline Zavodny, 2004. "The impact of welfare reform on marriage and divorce," Demography, Springer;Population Association of America (PAA), vol. 41(2), pages 213-236, May.
    17. Liu, Xiaodong & Patacchini, Eleonora & Zenou, Yves, 2014. "Endogenous peer effects: local aggregate or local average?," Journal of Economic Behavior & Organization, Elsevier, vol. 103(C), pages 39-59.
    18. Charles F. Manski, 1993. "Identification of Endogenous Social Effects: The Reflection Problem," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 60(3), pages 531-542.
    19. Robert Schoen, 1981. "The harmonic mean as the basis of a realistic two-sex marriage model," Demography, Springer;Population Association of America (PAA), vol. 18(2), pages 201-216, May.
    20. Adamopoulou, Effrosyni, 2012. "Peer Effects in Young Adults' Marital Decisions," UC3M Working papers. Economics we1228, Universidad Carlos III de Madrid. Departamento de Economía.
    21. Ismael Mourifié & Aloysius Siow, 2017. "The Cobb Douglas marriage matching function: Marriage matching with peer and scale effects," Working Papers 2017-007, Human Capital and Economic Opportunity Working Group.
    22. Antoni Calvó-Armengol & Eleonora Patacchini & Yves Zenou, 2009. "Peer Effects and Social Networks in Education," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 76(4), pages 1239-1267.
    23. Kerwin Kofi Charles & Ming Ching Luoh, 2010. "Male Incarceration, the Marriage Market, and Female Outcomes," The Review of Economics and Statistics, MIT Press, vol. 92(3), pages 614-627, August.
    24. Lones Smith, 2006. "The Marriage Model with Search Frictions," Journal of Political Economy, University of Chicago Press, vol. 114(6), pages 1124-1146, December.
    25. Eugene Choo, 2015. "Dynamic Marriage Matching: An Empirical Framework," Econometrica, Econometric Society, vol. 83(4), pages 1373-1423, July.
    26. 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.
    27. Christian Ghiglino & Sanjeev Goyal, 2010. "Keeping Up with the Neighbors: Social Interaction in a Market Economy," Journal of the European Economic Association, MIT Press, vol. 8(1), pages 90-119, March.
    28. Victor Chernozhukov & Chris Hansen & Martin Spindler, 2016. "High-Dimensional Metrics in R," Papers 1603.01700, arXiv.org, revised Aug 2016.
    29. Justin Wolfers, 2006. "Did Unilateral Divorce Laws Raise Divorce Rates? A Reconciliation and New Results," American Economic Review, American Economic Association, vol. 96(5), pages 1802-1820, December.
    30. 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.
    31. Robert Schoen, 1977. "A two-sex nuptiality-mortality life table," Demography, Springer;Population Association of America (PAA), vol. 14(3), pages 333-350, August.
    32. Bramoulle, Yann & Kranton, Rachel, 2007. "Public goods in networks," Journal of Economic Theory, Elsevier, vol. 135(1), pages 478-494, July.
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    1. Alfred Galichon & Bernard Salani'e, 2021. "Cupid's Invisible Hand: Social Surplus and Identification in Matching Models," Papers 2106.02371, arXiv.org, revised Jan 2023.

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