Minimal conversely consistent extension of the men-optimal solution |
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Authors: | ?pek Özkal-Sanver |
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Institution: | 1. Department of Economics, Murat Sertel Center for Advanced Economic Studies, Istanbul Bilgi University, Istanbul, Turkey
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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. |
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