On Dynamic Compromise

What prevents majorities from extracting surplus from minorities in a dynamic legislative process? In this paper we study an infinitely repeated game where legislators determine the division of a surplus each period. A division proposal is made at the beginning of the period by a randomly selected legislator and is then voted on. Proposals that are accepted by a simple majority are implemented, otherwise the status quo allocation prevails. We show existence of a symmetric Markov perfect equilibrium in which more than a minimum winning majority receive a positive allocation for an intermediate range of discount factors. However, the equilibrium outcome is sensitive to initial conditions: compromise is achieved when initial allocations are well distributed, otherwise the equilibrium spirals towards a complete absence of compromise. We find that, contrary to intuition, compromise becomes easier to sustain as the number of legislators increases.