A characterization of cooperative TU-games with large monotonic core
AbstractCooperative TU-games with large core were introduced by Sharkey (1982) and the concept of Population Monotonic Allocation Scheme was defined by Sprumont (1990). Linking these two concepts, Moulin (1990) introduces the notion of large monotonic core giving a characterization for three-player games. In this paper we prove that all games with large monotonic core are convex. We give an effective criterion to determine whether a game has large monotonic core and, as a consequence, we obtain a characterization for the four-player case.
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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 193.
Length: 20 pages
Date of creation: 2008
Date of revision:
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Postal: Espai de Recerca en Economia, Facultat de CiÃ¨ncies EconÃ²miques. Tinent Coronel Valenzuela, Num 1-11 08034 Barcelona. Spain.
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Find related papers by JEL classification:
- C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
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- Sprumont, Yves, 1990. "Population monotonic allocation schemes for cooperative games with transferable utility," Games and Economic Behavior, Elsevier, vol. 2(4), pages 378-394, December.
- Norde, H.W. & Reijnierse, J.H., 2000.
"A Dual Description of the Class of Games with a Population Monotonic Allocation Scheme,"
2000-99, Tilburg University, Center for Economic Research.
- Norde, Henk & Reijnierse, Hans, 2002. "A dual description of the class of games with a population monotonic allocation scheme," Games and Economic Behavior, Elsevier, vol. 41(2), pages 322-343, November.
- Moulin, H, 1990. "Cores and Large Cores When Population Varies," International Journal of Game Theory, Springer, vol. 19(2), pages 219-32.
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