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Minimal conversely consistent extension of the men-optimal solution

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  • İpek Özkal-Sanver

Abstract

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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  • İpek Özkal-Sanver, 2013. "Minimal conversely consistent extension of the men-optimal solution," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(1), pages 89-99, January.
    • Handle: RePEc:spr:sochwe:v:40:y:2013:i:1:p:89-99
    DOI: 10.1007/s00355-011-0588-4
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    1. Klaus, Bettina & Klijn, Flip, 2013. "Local and global consistency properties for student placement," Journal of Mathematical Economics, Elsevier, vol. 49(3), pages 222-229.

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