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A glove-market partitioned matrix related to the assignment game


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  • Núñez, Marina
  • Rafels, Carles


To any assignment market we associate the unique exact assignment game defined on the same set of agents and with a core that is a translation of the core of the initial market. As it happens with the core, the kernel and the nucleolus of an assignment game are proved to be the translation of the kernel and the nucleolus of its related exact assignment game by the vector of minimum core payoffs. Agents on each side of the market are classified by means of an equivalence relation and, when agents on the same class are ordered to be consecutive, the related exact assignment market is defined by a partitioned matrix, each block of the partition being a glove market.

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Bibliographic Info

Article provided by Elsevier in its journal Games and Economic Behavior.

Volume (Year): 67 (2009)
Issue (Month): 2 (November)
Pages: 598-610

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Handle: RePEc:eee:gamebe:v:67:y:2009:i:2:p:598-610

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Keywords: Assignment game Exact game Core Nucleolus Glove market;


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  1. Josep Mª Izquierdo & Marina Núñez & Carles Rafels, 2006. "A Simple Procedure to Obtain the Extreme Core Allocations of an Assignment Market," Working Papers 275, Barcelona Graduate School of Economics.
  2. Núñez, Marina & Rafels, Carles, 2008. "On the dimension of the core of the assignment game," Games and Economic Behavior, Elsevier, vol. 64(1), pages 290-302, September.
  3. Marina Núñez & Carles Rafels, 2005. "The Böhm–Bawerk horse market: a cooperative analysis," International Journal of Game Theory, Springer, vol. 33(3), pages 421-430, 09.
  4. Peleg, B, 1986. "On the Reduced Game Property and Its Converse," International Journal of Game Theory, Springer, vol. 15(3), pages 187-200.
  5. T. E. S. Raghavan & Tamás Solymosi, 2001. "Assignment games with stable core," International Journal of Game Theory, Springer, 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 461-79, June.
  7. Maike Hoffmann & Peter Sudhölter, 2007. "The Shapley value of exact assignment games," International Journal of Game Theory, Springer, vol. 35(4), pages 557-568, April.
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Cited by:
  1. Marina Núñez & Carles Rafels, 2009. "Von Neumann–Morgenstern stable-set solutions in the assignment market," Working Papers 412, Barcelona Graduate School of Economics.
  2. Núñez, Marina & Rafels, Carles, 2013. "Von Neumann–Morgenstern solutions in the assignment market," Journal of Economic Theory, Elsevier, vol. 148(3), pages 1282-1291.


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