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Von Neuman-Morgenstern farsightedly stable sets in two-sided matching
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Von Neuman-Morgenstern farsightedly stable sets in two-sided matching

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  • Ana, MAULEON
  • Vincent, VANNETELBOSCH

    (UNIVERSITE CATHOLIQUE DE LOUVAIN, Center for Operations Research and Econometrics (CORE))

  • Wouter, VERGOTE

Abstract

We adopt the notion of von Neumann-Morgenstern farsightedly stable sets to predict with matchings are possibly stable when agents are farsighted in one-to-one matching problems. We provide the characterization of von Neumann-Morgenstern farsightedly stable sets : a set of matchings is a von Neumann-Morgenstern farsightedly stable set if and only if it is a singleton set and its element is a corewise stable matching. Thus, contrary to the von Neumann-Morgenstern (myopically) stable sets, von Neumann-Morgenstern farsightedly stable sets cannot include matchings thar are not corewise stable ones. Moreover, we show that our main result is robust to many-to-one matching problems with responsive preferences.

Suggested Citation

  • Ana, MAULEON & Vincent, VANNETELBOSCH & Wouter, VERGOTE, 2008. "Von Neuman-Morgenstern farsightedly stable sets in two-sided matching," Discussion Papers (ECON - Département des Sciences Economiques) 2008013, Université catholique de Louvain, Département des Sciences Economiques.
    • Handle: RePEc:ctl:louvec:2008013
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    More about this item

    Keywords

    matching problem; von Neumann-Morgenstern stable sets; farsightedly stability;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory

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