Applying the non-cooperative theory of coalitional bargaining, I examine a widely held view in economic literature that an efficient outcome can be agreed on in voluntary bargaining among rational agents in the absence of transaction costs. While this view is not always true, owing to the...

We present a classification of all stationary subgame perfect equilibria of the random proposer model for a three-person cooperative game according to the level of efficiency. The efficiency level is characterized by the number of "central" players who join all equilibrium coalitions. The...

In a series of papers, Aumann and Roth discussed a game in which players can cooperate in pairs and two of them prefer to form a coalition with each other. Roth argued that the only rational outcome is that the players who prefer each other form a coalition; Aumann argued that all three...