Von Neumann-Morgenstern stable-set solutions in the assignment market
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.
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- Roth,Alvin E. & Sotomayor,Marilda A. Oliveira, 1992.
Cambridge University Press, number 9780521437882.
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- EHLERS, Lars, 2005.
"Von Neumann-Morgenstern Stable Sets in Matching Problems,"
Cahiers de recherche
2005-11, Universite de Montreal, Departement de sciences economiques.
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- 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.
- 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.
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