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.