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A theory of stability in many-to-many matching markets

Author

Listed:
  • Echenique, Federico

    () (California Institute of Technology)

  • Oviedo, Jorge

    () (Universidad Nacional de San Luis, Argentina)

Abstract

We develop a theory of stability in many-to-many matching markets. We give conditions under which the setwise-stable set, a core-like concept, is nonempty and can be approached through an algorithm. The usual core may be empty. The setwise-stable set coincides with the pairwise-stable set and with the predictions of a non-cooperative bargaining model. The setwise-stable set possesses the conflict/coincidence of interest properties from many-to-one, and one-to-one models. The theory parallels the standard theory of stability for many-to-one, and one-to-one, models. We provide results for a number of core-like solutions, besides the setwise-stable set.

Suggested Citation

  • Echenique, Federico & Oviedo, Jorge, 2006. "A theory of stability in many-to-many matching markets," Theoretical Economics, Econometric Society, vol. 1(2), pages 233-273, June.
  • Handle: RePEc:the:publsh:139
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    References listed on IDEAS

    as
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    More about this item

    Keywords

    Two-sided matching; cooperative game theory; core;

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory

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