Properties of Solutions for Games on Union-Closed Systems

A situation in which a finite set of players can obtain certain payoffs by cooperation be described cooperative game with transferable utility, or simply TU-game. solution for TU-games assigns payoff distributions to every In the literature, various models games restricted found where, instead allowing all subsets player N form, it is assumed that feasible coalitions subset power N. this paper, we consider on union-closed system where closed under union, i.e., any two also, their union feasible. Properties solutions (the core, nucleolus, and prekernel) are discussed system.