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Subjective Homophily and the Fixtures Problem

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  • Joseph E. Duggan

    (Department of Economics and Finance, University of Dayton, 300 College Park, Dayton, OH 45469-2251, USA)

Abstract

The Stable Fixtures problem (Irving and Scott (2007)) is a generalized matching model that nests the well-known Stable Roommates, Stable Marriage, and College Admissions problems as special cases. This paper extends a result of the Stable Roommates problem to demonstrate that a class of homophilic preferences with an appealing psychological interpretation is sufficient to ensure that starting from an arbitrary matching, a decentralized process of allowing the sequential matching of randomly chosen blocking pairs will converge to a pairwise-stable matching with probability one. Strategic implications of this class of preferences are examined and further possible generalizations and directions for future research are discussed.

Suggested Citation

  • Joseph E. Duggan, 2020. "Subjective Homophily and the Fixtures Problem," Games, MDPI, vol. 11(1), pages 1-13, February.
    • Handle: RePEc:gam:jgames:v:11:y:2020:i:1:p:11-:d:319929
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    References listed on IDEAS

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    1. Chung, Kim-Sau, 2000. "On the Existence of Stable Roommate Matchings," Games and Economic Behavior, Elsevier, vol. 33(2), pages 206-230, November.
    2. Diamantoudi, Effrosyni & Miyagawa, Eiichi & Xue, Licun, 2004. "Random paths to stability in the roommate problem," Games and Economic Behavior, Elsevier, vol. 48(1), pages 18-28, July.
    3. Heidrun C. Hoppe & Benny Moldovanu & Aner Sela, 2009. "The Theory of Assortative Matching Based on Costly Signals," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 76(1), pages 253-281.
    4. Okumura, Yasunori, 2017. "A one-sided many-to-many matching problem," Journal of Mathematical Economics, Elsevier, vol. 72(C), pages 104-111.
    5. , & ,, 2006. "A theory of stability in many-to-many matching markets," Theoretical Economics, Econometric Society, vol. 1(2), pages 233-273, June.
    6. Fuhito Kojima & M. Ünver, 2008. "Random paths to pairwise stability in many-to-many matching problems: a study on market equilibration," International Journal of Game Theory, Springer;Game Theory Society, vol. 36(3), pages 473-488, March.
    7. Ágnes Cseh & Martin Skutella, 2019. "Paths to stable allocations," International Journal of Game Theory, Springer;Game Theory Society, vol. 48(3), pages 835-862, September.
    8. Anna Bogomolnaia & Herve Moulin, 2004. "Random Matching Under Dichotomous Preferences," Econometrica, Econometric Society, vol. 72(1), pages 257-279, January.
    9. Roth, Alvin E & Vande Vate, John H, 1990. "Random Paths to Stability in Two-Sided Matching," Econometrica, Econometric Society, vol. 58(6), pages 1475-1480, November.
    10. Sotomayor, Marilda, 2004. "Implementation in the many-to-many matching market," Games and Economic Behavior, Elsevier, vol. 46(1), pages 199-212, January.
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    Cited by:

    1. Zuckerman, David, 2024. "Multidimensional homophily," Journal of Economic Behavior & Organization, Elsevier, vol. 218(C), pages 486-513.

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