A unified approach to restricted games

Theory and Decision 50 (4):333-345 (2001)

Jennifer Lopez
Marymount University
There have been two main lines in the literature on restricted games: the first line was started by Myerson (1977) that studied graph-restricted games an the second one was initiated by Faigle (1989). The present paper provides a unified way to look on the literature and establishes connections between the two different lines on restricted games. The strength and advantages of this unified approach becomes clear in the study of the inheritance of the convexity from the game to the restricted game where an interesting result by Nouweland and Borm (1991) on the convexity of graph-restricted games is turned into a direct consequence of the corresponding result by Faigle (1989), by means of this relation
Keywords Restricted games  Core  Convex games  Convex geometries
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DOI 10.1023/A:1010344404281
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