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Many-to-Many Matching with Max-Min Preferences

Author

Listed:
  • John Hatfield

    (University of Texas at Austin)

  • Fuhito Kojima

    (Stanford University)

  • Yusuke Narita

    (Massachusetts Institute of Technology)

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.

Suggested Citation

  • John Hatfield & Fuhito Kojima & Yusuke Narita, 2012. "Many-to-Many Matching with Max-Min Preferences," Discussion Papers 12-020, Stanford Institute for Economic Policy Research.
    • Handle: RePEc:sip:dpaper:12-020
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    References listed on IDEAS

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    Cited by:

    1. Kojima, Fuhito, 2013. "Efficient resource allocation under multi-unit demand," Games and Economic Behavior, Elsevier, vol. 82(C), pages 1-14.
    2. Leonardo Boncinelli & Alessio Muscillo & Paolo Pin, 2022. "Efficiency and Stability in a Process of Teams Formation," Dynamic Games and Applications, Springer, vol. 12(4), pages 1101-1129, December.

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