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Minimal conversely consistent extension of the men-optimal solution

  • İpek Özkal-Sanver

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    This study pertains to two-sided, one-to-one matching problems and considers the best-known solution concept: the men-optimal solution. The men-optimal solution fails to satisfy consistency as well as converse consistency. Furthermore, the minimal consistent extension of the men-optimal solution equals the core. In this article, we compute the minimal conversely consistent extension of the men-optimal solution as a correspondence which associates with each problem the set consisting of the men-optimal matching, and all stable and men-barterproof matchings for this problem. Copyright Springer-Verlag 2013

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    File URL: http://hdl.handle.net/10.1007/s00355-011-0588-4
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    Article provided by Springer in its journal Social Choice and Welfare.

    Volume (Year): 40 (2013)
    Issue (Month): 1 (January)
    Pages: 89-99

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    Handle: RePEc:spr:sochwe:v:40:y:2013:i:1:p:89-99
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    1. Özkal-Sanver, Ipek, 2010. "Impossibilities for roommate problems," Mathematical Social Sciences, Elsevier, vol. 59(3), pages 360-363, May.
    2. Thomson, William, 1994. "Consistent extensions," Mathematical Social Sciences, Elsevier, vol. 28(1), pages 35-49, August.
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    5. Sasaki, Hiroo & Toda, Manabu, 1992. "Consistency and characterization of the core of two-sided matching problems," Journal of Economic Theory, Elsevier, vol. 56(1), pages 218-227, February.
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    19. repec:ner:tilbur:urn:nbn:nl:ui:12-72933 is not listed on IDEAS
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