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Credible Group-Stability in Many-to-Many Matching Problems

  • Hideo Konishi

    ()

    (Boston College)

  • M. Utku Unver

    (Koc University)

It is known that in two-sided many-to-many matching problems, pairwise-stable matchings may not be immune to group deviations, unlike in many-to-one matching problems (Blair 1988). In this paper, we show that pairwise stability is equivalent to credible group stability when one side has responsive preferences and the other side has categorywise-responsive preferences. A credibly group-stable matching is immune to any "executable" group deviations with an appropriate definition of executability. Under the same preference restriction, we also show the equivalence between the set of pairwise-stable matchings and the set of matchings generated by coalition-proof Nash equilibria of an appropriately defined strategic-form game.

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Paper provided by Boston College Department of Economics in its series Boston College Working Papers in Economics with number 570.

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Length: 30 pages
Date of creation: 05 Sep 2003
Date of revision: 19 Jan 2005
Publication status: published, Journal of Economic Theory, 129, 57-80 (2006)
Handle: RePEc:boc:bocoec:570
Note: This paper was previously circulated as "Credible Group-Stability in Multi-Partner Matching Problems"
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