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An alternative proof of the characterization of core stability for the assignment game

Author

Listed:
  • Ata Atay

    (Universitat de Barcelona)

Abstract

Solymosi and Raghavan (2001) characterize the stability of the core of the assignment game by means of a property of the valuation matrix. They show that the core of an assignment game is a von Neumann-Morgenstern stable set if and only if its valuation matrix has a dominant diagonal. Their proof makes use of some graph-theoretical tools, while the present proof relies on the notion of buyer-seller exact representative in Núñez and Rafels (2002).

Suggested Citation

  • Ata Atay, 2016. "An alternative proof of the characterization of core stability for the assignment game," UB School of Economics Working Papers 2016/350, University of Barcelona School of Economics.
    • Handle: RePEc:ewp:wpaper:350web
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    Cited by:

    1. R. Branzei & E. Gutiérrez & N. Llorca & J. Sánchez-Soriano, 2021. "Does it make sense to analyse a two-sided market as a multi-choice game?," Annals of Operations Research, Springer, vol. 301(1), pages 17-40, June.

    More about this item

    Keywords

    Assignment game; core; stability; von Neumann-Morgenstern stable set.;
    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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