This paper discusses the core of the game corresponding to the standard fixed tree problem. We consider the weighted … adaptation of the constrained egalitarian solution of Dutta and Ray (1989). The core of the standard fixed tree game equals the …

This paper examines the -core of strategic games by means of the consistency principle. I provide a new definition of a …*) under this definition of reduced games. Then I axiomatize the -core for families of strategic games with bounded payoff …

account. We study inheritance of the following properties: average convexity, inclusion of the Shapley value in the core …

It is well known that in three-person transferable-utility cooperative games the bargaining set {\cal M}i1 and the core … core. This paper answers the equivalence question in the remaining four-person case. We prove that in any four-person game … and for arbitrary coalition structure, whenever the core is not empty, it coincides with the bargaining set {\cal M}i1 …

theorem several consequences are derived, the inclusion of the core in the Weber set (Weber, 1988), the fact that every convex … game has a large core (Sharkey, 1982), and a discrete separation theorem (Frank, 1982). We introduce a definition of …