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Many-to-Many Matching with Max-Min Preferences

John Hatfield (), Fuhito Kojima () and Yusuke Narita ()
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John Hatfield: University of Texas at Austin
Fuhito Kojima: Stanford University

No 12-020, Discussion Papers from Stanford Institute for Economic Policy Research

Abstract: We consider the many-to-many two-sided matching problem under a stringent domain restriction on preferences called the max-min criterion. We show that, even under this restriction, there is no stable mechanism that is weakly Pareto efficient, strategy-proof, or monotonic (i.e. respects improvements) for agents on one side of the market. These results imply in particular that three of the main results of [4] are incorrect.

Date: 2012-12
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