We study repeated prize allocation when the discount factors of the agents are unequal. The feasible set of payoffs behaves badly: the Pareto frontier is everywhere discontinuous and there is an open subset of (high) discount factors under which the feasible set is totally disconnected.

We study the existence of pure strategy Markov perfect equilibria in two-person perfect information games. There is a state space X and each period player's possible actions are a subset of X. This set of feasible actions depends on the current state, which is determined by the choice of the...