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Games implementing the stable rule of marriage problems in strong Nash equilibria

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  • Sang-Chul Suh

    ()
    (Department of Economics, University of Windsor, Windsor, Ontario, N9B 3P4, Canada)

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    Abstract

    In a marriage problem, we introduce a condition called "exclusive matchability (EM)": the condition mainly says that each pair of a man and a woman can choose to be a matching pair regardless of others' actions. This condition is essential to strong Nash implementation of the stable rule. We show that any mechanism which satisfies exclusive matchability implements the stable rule in strong Nash equilibria.

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    Bibliographic Info

    Article provided by Springer in its journal Social Choice and Welfare.

    Volume (Year): 20 (2003)
    Issue (Month): 1 ()
    Pages: 33-39

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    Handle: RePEc:spr:sochwe:v:20:y:2003:i:1:p:33-39

    Note: Received: 17 May 1999/Accepted: 30 August 2001
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    Cited by:
    1. Haeringer, Guillaume & Klijn, Flip, 2009. "Constrained school choice," Journal of Economic Theory, Elsevier, vol. 144(5), pages 1921-1947, September.

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