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A simple decentralized matching mechanism in markets with couples

Author

Listed:
  • Alfredo Salgado-Torres

    (Universidad Carlos III de Madrid)

Abstract
We analyze a simple decentralized matching mechanism in market with couples called One Application Mechanism. Under this mechanism any stable matching of the market can be attained in Subgame Perfect equilibrium (SPE). In contrast with previous results, we find that the mechanism may attain unstable matchings in SPE. We show that only one special kind of instability is admissible in equilibrium and we argue that this exclusively comes from coordination failures between members of couples. Our main result shows that the One Application Mechanism implements in SPE the set of pairwise stable matchings in markets with couples.

Suggested Citation

  • Alfredo Salgado-Torres, 2012. "A simple decentralized matching mechanism in markets with couples," Economics Bulletin, AccessEcon, vol. 32(3), pages 2044-2055.
  • Handle: RePEc:ebl:ecbull:eb-12-00128
    as

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    File URL: http://www.accessecon.com/Pubs/EB/2012/Volume32/EB-12-V32-I3-P198.pdf
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    References listed on IDEAS

    as
    1. Klaus, Bettina & Klijn, Flip, 2005. "Stable matchings and preferences of couples," Journal of Economic Theory, Elsevier, vol. 121(1), pages 75-106, March.
    2. Klaus, Bettina & Klijn, Flip, 2007. "Paths to stability for matching markets with couples," Games and Economic Behavior, Elsevier, vol. 58(1), pages 154-171, January.
    3. Bettina Klaus & Flip Klijn & Jordi Massó, 2007. "Some things couples always wanted to know about stable matchings (but were afraid to ask)," Review of Economic Design, Springer;Society for Economic Design, vol. 11(3), pages 175-184, November.
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    7. Claus-Jochen Haake & Bettina Klaus, 2010. "Stability and Nash implementation in matching markets with couples," Theory and Decision, Springer, vol. 69(4), pages 537-554, October.
    8. Klaus, Bettina & Klijn, Flip & Nakamura, Toshifumi, 2009. "Corrigendum to "Stable matchings and preferences of couples" [J. Econ. Theory 121 (1) (2005) 75-106]," Journal of Economic Theory, Elsevier, vol. 144(5), pages 2227-2233, September.
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    11. Maskin, Eric & Sjostrom, Tomas, 2002. "Implementation theory," Handbook of Social Choice and Welfare, in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 1, chapter 5, pages 237-288, Elsevier.
    12. Guillaume Haeringer & Myrna Wooders, 2011. "Decentralized job matching," International Journal of Game Theory, Springer;Game Theory Society, vol. 40(1), pages 1-28, February.
    13. Alcalde, Jose & Perez-Castrillo, David & Romero-Medina, Antonio, 1998. "Hiring Procedures to Implement Stable Allocations," Journal of Economic Theory, Elsevier, vol. 82(2), pages 469-480, October.
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    15. Marilda Sotomayor, 2003. "Reaching the core of the marriage market through a non-revelation matching mechanism," International Journal of Game Theory, Springer;Game Theory Society, vol. 32(2), pages 241-251, December.
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    More about this item

    Keywords

    Markets with couples; Decentralized matching; Stable matchings; Implementation;
    All these keywords.

    JEL classification:

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

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