A characterization of cooperative TU-games with large monotonic core
Cooperative 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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- 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, 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.
- Norde, H.W. & Reijnierse, J.H., 2000. "A Dual Description of the Class of Games with a Population Monotonic Allocation Scheme," Discussion Paper 2000-99, Tilburg University, Center for Economic Research.
- 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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