This paper studies allocations that can be implemented by an arbitrator subject to the constraint that the agents' outside option is to start bargaining by themselves. As the population becomes large, the set of implementable allocations shrinks to a singleton point - the conflict-free...

We study repeated prize allocation problem when the discount factors f the agents are not equal. It is shown that the feasible set of payoffs is not well behaved. In particular, it is not convex as it contains holes and caves. The Pareto frontier is everywhere discontinuous and there is an open...

We study farsighted stability under the assumption that coalitions may condition actions on the history of the play. vNM stable set over possible play paths is defined with respect to the indirect dominance relation. We show that such dynamic stable set always exists. It is characterized by a...

We provide a simple characterization of the stationary subgame perfect equilibrium of an alternating offers bargaining game when the number of players increases without a limit. Core convergence literature is emulated by increasing the number of players by replication. The limit allocation is...

We consider an n-player bargaining problem where the utility possibility set is compact, convex, and stricly comprehensive. We show that a stationary subgame perfect Nash equilibrium exists, and that, if the Pareto surface is differentiable, all such equilibria converge to the Nash bargaining...

We show that whenever a decision maker reasons about an optimal decision he is able to find one, even with non-transitive preferences. The existence of a reasoning process allows him to strategically manipulate how he reasons. A reasoning strategy that is robust against (finite) deviations is...

We apply the von Neumann-Morgenstern stable set to the n-player cake division problem. Only time-preferences á la Rubinstein (1982) are assumed. The stable set is defined with respect to the following dominance relation: x dominates y if there is a player who prefers x over y even with one...

We study collective choice via an endogenous agenda setting process. At each stage, a status quo is implemented unless it is replaced by a majority (winning coalition) with a new status quo outcome. The process continues until the prevailing status quo is no longer challenged. We impose a...