Noncooperative Foundations of Stable Sets in Voting Games

This short note studies the noncooperative foundations of von Neumann–Morgenstern stable sets in voting games. To do so, we study stationary Markov equilibria (SMEs) of a noncooperative legislative bargaining game, based on underlying simple games. The following result emerges from such an exercise: Every stable set of the underlying simple game is the limit set of pure strategy, stage-undominated SMEs of the bargaining game when voters are sufficiently farsighted