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 set of all weighted constrained egalitarian...

The paper characterizes the class of transferable-utility cooperative games arising from public-good economies. In the symmetric case and in the three-players case, this class is precisely that of convex games. In general, a highly structured pattern of differences between the worths of the...