Title

The Hybrid Solutions of an n-Person Game

Authors

Jingang Zhao

Document Type

Discussion Paper

Publication Date

9-1-1990

CFDP Number

956

CFDP Pages

21

Abstract

We introduce a solution concept intermediate between the cooperative and noncooperative solutions of an n -person game in normal form. Consider a partition p of the players, with each s in p a coalition. A joint strategy x = { x s | s in p } is a hybrid solution for the partition p if, for each s in p , x s is a core solution of the corresponding parametric subgame, where this game isplayed by the players in s and is parameterized by x -s , the strategies played by all outside players. This assumes that players behave cooperatively within each coalition and competitively across coalitions. Sufficient conditions are given for a general n -person game to have hybrid solutions for any partition.

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