An Example of a Repeated Partnership Game with Discounting and with Uniformly Inefficient Equilibria
展示一个重复合伙博弈例子,其中正贴现率下所有超博弈均衡都一致远离完全效率,而零贴现时有效收益向量可达,说明均衡收益集在贴现率为零处不连续。
In this note we present an example of a repeated partnership game with imperfect monitoring in which all supergame equilibria with positive discount rates are bounded away from full efficiency uniformly in the discount rate, provided the latter is strictly positive. On the other hand, if the players do not discount the future, then every efficient one-period payoff vector that dominates the one-period equilibrium payoff vector can be attained by an equilibrium of the repeated game. Thus the correspondence that maps the players' discount rate into the corresponding set of repeated-game equilibrium payoff vectors is discontinuous at the point at which the discount rate is zero.