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

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  • Marina Núñez
  • Carles Rafels

Abstract

Existence of von NeumannMorgenstern 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.

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File URL: http://research.barcelonagse.eu/tmp/working_papers/412.pdf
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Bibliographic Info

Paper provided by Barcelona Graduate School of Economics in its series Working Papers with number 412.

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Date of creation: Nov 2009
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Handle: RePEc:bge:wpaper:412

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Related research

Keywords: assignment game; core; dominance; von Neumann-Morgenstern stable set;

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  1. EHLERS, Lars, 2005. "Von Neumann-Morgenstern Stable Sets in Matching Problems," Cahiers de recherche 12-2005, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
  2. 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 461-79, June.
  3. T. E. S. Raghavan & Tamás Solymosi, 2001. "Assignment games with stable core," International Journal of Game Theory, Springer, vol. 30(2), pages 177-185.
  4. 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.
  5. 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.
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