An axiomatization of the nucleolus of the assignment game
AbstractOn the domain of two-sided assignment markets, the nucleolus is axiomatized as the unique solution that satisfies derived consistency (Owen, 1992) and complaint mono- tonicity on sectors size. As a consequence, we obtain a geometric characterization of the nucleolus by means of a strong form of the bisection property that characterizes the inter- section between the core and the kernel of a coalitional game in Maschler et al (1979).
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Bibliographic InfoPaper provided by Universitat de Barcelona. Espai de Recerca en Economia in its series Working Papers in Economics with number 286.
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Date of creation: 2012
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Find related papers by 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
This paper has been announced in the following NEP Reports:
- NEP-ALL-2012-12-10 (All new papers)
- NEP-CDM-2012-12-10 (Collective Decision-Making)
- NEP-GTH-2012-12-10 (Game Theory)
- NEP-HPE-2012-12-10 (History & Philosophy of Economics)
- NEP-MIC-2012-12-10 (Microeconomics)
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- Toda, Manabu, 2005. "Axiomatization of the core of assignment games," Games and Economic Behavior, Elsevier, vol. 53(2), pages 248-261, November.
- Guillermo OWEN, 1992. "The Assignment Game : The Reduced Game," Annales d'Economie et de Statistique, ENSAE, issue 25-26, pages 71-79.
- Francesc Llerena & Marina Nunez & Carles Rafels, 2011.
"A geometric chracterization of the nucleolus of the assignment game,"
Working Papers in Economics
260, Universitat de Barcelona. Espai de Recerca en Economia.
- Francesc Llerena & Marina Nunez, 2011. "A geometric characterization of the nucleolus of the assignment game," Economics Bulletin, AccessEcon, vol. 31(4), pages 3275-3285.
- Solymosi, Tamas & Raghavan, Tirukkannamangai E S, 1994. "An Algorithm for Finding the Nucleolus of Asignment Games," International Journal of Game Theory, Springer, vol. 23(2), pages 119-43.
- Sasaki, Hiroo, 1995. "Consistency and Monotonicity in Assignment Problems," International Journal of Game Theory, Springer, vol. 24(4), pages 373-97.
- Peleg, B, 1986. "On the Reduced Game Property and Its Converse," International Journal of Game Theory, Springer, vol. 15(3), pages 187-200.
- Rochford, Sharon C., 1984. "Symmetrically pairwise-bargained allocations in an assignment market," Journal of Economic Theory, Elsevier, vol. 34(2), pages 262-281, December.
- 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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