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Stability and Efficiency of Partitions in Matching Problems

  • Ä°pek Özkal-Sanver

    ()

We define two versions of stability and efficiency of partitions and analyze their relationships for some matching rules. The stability and efficiency of a partition depends on the matching rule φ. The results are stated under various membership property rights axioms. It is shown that in a world where agents can freely exit from and enter coalitions, whenever the matching rule is individually rational and Pareto optimal, the set of φ-stable and φ-efficient partitions coincide and it is unique: the grand coalition. Then we define a weaker version of stability and efficiency, namely specific to a given preference profile and find some negative results for stable matching rules. Copyright Springer 2005

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File URL: http://hdl.handle.net/10.1007/s11238-005-0945-9
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Article provided by Springer in its journal Theory and Decision.

Volume (Year): 59 (2005)
Issue (Month): 3 (November)
Pages: 193-205

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Handle: RePEc:kap:theord:v:59:y:2005:i:3:p:193-205
Contact details of provider: Web page: http://www.springerlink.com/link.asp?id=100341

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