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On the empirical content of the Beckerian marriage model

Author

Listed:
  • Jianfei Cao

    (University of Chicago Booth School of Business)

  • Xiaoxia Shi

    (University of Wisconsin at Madison)

  • Matthew Shum

    (California Institute of Technology)

Abstract

This note studies the empirical content of a simple marriage matching model with transferable utility, based on Becker (J Polit Econ 81:813–846, 1973). Under Becker’s conditions, the equilibrium matching is unique and assortative. However, this note shows that when the researcher only observes a subset of relevant characteristics, the unique assortative matching does not uniquely determine a distribution of observed characteristics. This precludes standard approaches to point estimation of the underlying model parameters. We propose a solution to this problem, based on the idea of “random matching.”

Suggested Citation

  • Jianfei Cao & Xiaoxia Shi & Matthew Shum, 2019. "On the empirical content of the Beckerian marriage model," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 67(2), pages 349-362, March.
  • Handle: RePEc:spr:joecth:v:67:y:2019:i:2:d:10.1007_s00199-018-1106-z
    DOI: 10.1007/s00199-018-1106-z
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    References listed on IDEAS

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    1. Pierre-André Chiappori & Sonia Oreffice & Climent Quintana-Domeque, 2020. "Erratum: Fatter Attraction: Anthropometric and Socioeconomic Matching on the Marriage Market," Journal of Political Economy, University of Chicago Press, vol. 128(12), pages 4673-4675.
    2. Robert Shimer & Lones Smith, 2000. "Assortative Matching and Search," Econometrica, Econometric Society, vol. 68(2), pages 343-370, March.
    3. Jeremy T. Fox, 2010. "Identification in matching games," Quantitative Economics, Econometric Society, vol. 1(2), pages 203-254, November.
    4. Alp E. Atakan, 2006. "Assortative Matching with Explicit Search Costs," Econometrica, Econometric Society, vol. 74(3), pages 667-680, May.
    5. 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.
    6. Federico Echenique & Sangmok Lee & Matthew Shum & M. Bumin Yenmez, 2013. "The Revealed Preference Theory of Stable and Extremal Stable Matchings," Econometrica, Econometric Society, vol. 81(1), pages 153-171, January.
    7. 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..
    8. 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.
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    Cited by:

    1. Jacques Silber & Sasiwimon Warunsiri Paweenawat & Lusi Liao, 2022. "On the measurement of non-random mating and of its change over time," Review of Economics of the Household, Springer, vol. 20(1), pages 161-198, March.
    2. Alfred Galichon & Robert McCann, 2019. "Special Issue: Optimal Transportation, Equilibrium, and Applications to Economics," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 67(2), pages 345-347, March.

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    More about this item

    Keywords

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    JEL classification:

    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory

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