A New Bargaining Set of an N-Person Game and Endogenous Coalition Formation

The two most fundamental questions in cooperative game theory are: When a game is played, what coalitions will be formed and what payoff vectors will be chosen? Few solution concepts or theories in the current literature provide satisfactory answers to both questions; answers are especially lacking for the first one. In this paper we introduce a new bargaining set, which is the first solution concept in cooperative game theory that provides answers to both fundamental questions endogenously. Journal of Economic Literature Classification Number: C71.