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Von Neumann-Morgenstern stable-set solutions in the assignment market

Author

Listed:
  • Marina Núñez
  • Carles Rafels

Abstract

Existence of von Neumann-Morgenstern solutions (stable sets) is proved for any assignment game. For each optimal matching, a stable set is defined as the union of the core of the game and the core of the subgames that are compatible with this matching. All these stable sets exclude third-party payments and form a lattice with respect to the same partial order usually defined on the core.

Suggested Citation

  • Marina Núñez & Carles Rafels, 2009. "Von Neumann-Morgenstern stable-set solutions in the assignment market," Working Papers 412, Barcelona School of Economics.
    • Handle: RePEc:bge:wpaper:412
    as

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    File URL: http://www.barcelonagse.eu/sites/default/files/working_paper_pdfs/412.pdf
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    References listed on IDEAS

    as
    1. Núñez, Marina & Rafels, Carles, 2009. "A glove-market partitioned matrix related to the assignment game," Games and Economic Behavior, Elsevier, vol. 67(2), pages 598-610, November.
    2. Roth,Alvin E. & Sotomayor,Marilda A. Oliveira, 1992. "Two-Sided Matching," Cambridge Books, Cambridge University Press, number 9780521437882, October.
    3. Ehlers, Lars, 2007. "Von Neumann-Morgenstern stable sets in matching problems," Journal of Economic Theory, Elsevier, vol. 134(1), pages 537-547, May.
    4. Mo, Jie-Ping, 1988. "Entry and structures of interest groups in assignment games," Journal of Economic Theory, Elsevier, vol. 46(1), pages 66-96, October.
    5. T. E. S. Raghavan & Tamás Solymosi, 2001. "Assignment games with stable core," International Journal of Game Theory, Springer;Game Theory Society, vol. 30(2), pages 177-185.
    6. Leonard, Herman B, 1983. "Elicitation of Honest Preferences for the Assignment of Individuals to Positions," Journal of Political Economy, University of Chicago Press, vol. 91(3), pages 461-479, June.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    assignment game; core; dominance; von Neumann-Morgenstern stable set;
    All these keywords.

    JEL classification:

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

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