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Matching and Sorting with Horizontal Heterogeneity

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  • Simon Clark

Abstract

This paper examine a class of two-sided matching problems with non-transferable utility. Agents are horizontally differentiated, and each would prefer to be matched with a similar partner; in short, "like attracts like". Although such preferences imply a unique stable matching, the degree of assortment in equilibrium is found to depend critically on the distribution of characteristics among the two sexes. In particular, the greater the difference between men and women, the greater the tendency to negative assortment. Constraints on who can match with whom may improve welfare and we interpret this as a theory of social stratification.

Suggested Citation

  • Simon Clark, 2003. "Matching and Sorting with Horizontal Heterogeneity," Edinburgh School of Economics Discussion Paper Series 94, Edinburgh School of Economics, University of Edinburgh.
    • Handle: RePEc:edn:esedps:94
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    File URL: http://www.econ.ed.ac.uk/papers/id94_esedps.pdf
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    References listed on IDEAS

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    1. Patrick Legros & Andrew F. Newman, 2007. "Beauty Is a Beast, Frog Is a Prince: Assortative Matching with Nontransferabilities," Econometrica, Econometric Society, vol. 75(4), pages 1073-1102, July.
    2. Kiyotaki, Nobuhiro & Wright, Randall, 1989. "On Money as a Medium of Exchange," Journal of Political Economy, University of Chicago Press, vol. 97(4), pages 927-954, August.
    3. Burdett, Kenneth & Coles, Melvyn G, 1999. "Long-Term Partnership Formation: Marriage and Employment," Economic Journal, Royal Economic Society, vol. 109(456), pages 307-334, June.
    4. Simon Clark, 2002. "Uniqueness of Equilibrium in Two-sided Matching," Edinburgh School of Economics Discussion Paper Series 84, Edinburgh School of Economics, University of Edinburgh.
    5. Steven N. Durlauf, 1996. "Associational Redistribution: A Defense," Politics & Society, , vol. 24(4), pages 391-410, December.
    6. Roth, Alvin E, 1984. "The Evolution of the Labor Market for Medical Interns and Residents: A Case Study in Game Theory," Journal of Political Economy, University of Chicago Press, vol. 92(6), pages 991-1016, December.
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    Cited by:

    1. Simon Clark, 2007. "Matching and Sorting when Like Attracts Like," Edinburgh School of Economics Discussion Paper Series 171, Edinburgh School of Economics, University of Edinburgh.
    2. Klumpp, Tilman, 2009. "Two-sided matching with spatially differentiated agents," Journal of Mathematical Economics, Elsevier, vol. 45(5-6), pages 376-390, May.
    3. Flanders, Sam, 2014. "Matching Markets with N-Dimensional Preferences," MPRA Paper 53669, University Library of Munich, Germany.
    4. Flanders, Sam, 2013. "Continuous Matching with Single Peaked Preferences," MPRA Paper 53668, University Library of Munich, Germany.

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    More about this item

    Keywords

    matching; sorting; uniqueness; horizontal heterogeneity; marriage market; social stratification;
    All these keywords.

    JEL classification:

    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory

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