Gamma-Component Additive Games

Jos Potters and Hans Reijnierse ()

International Journal of Game Theory, 1995, vol. 24, issue 1, 49-56

Abstract: According to Maschler, Peleg and Shapley (1972) the bargaining set of a convex game coincides with its core and the kernel consists of the nucleolus only. In this paper we prove the same properties for [Gamma]-component additive games (= graph restricted games in the sense of Owen (1986)) if [Gamma] is a tree. Furthermore, we give a description of the nucleolus of this type of games which makes it easier accessible for computation.

Date: 1995
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