标题： 一种对多样性的品味 显示英文标题

标题： A Taste for Variety

摘要： 决策者反复从一个有限的动作集合中选择一个动作。 在每一时期，决策者的收益取决于所选动作的固定基本收益以及该动作在过去被选择的频率。 我们分析了与三种无限收益评估相关的最优策略：贴现现值、部分平均值的极限下限和极限上限。 我们证明，当前两种是评估方案时，一个平稳策略总能实现最佳可能的结果。 然而，对于后一种评估方案，只有当一个最优平稳策略以严格正频率选择的所有动作具有相同的的基本收益时，平稳策略才能实现最佳结果。 显示英文摘要

摘要： A decision maker repeatedly chooses one of a finite set of actions. In each period, the decision maker's payoff depends on fixed basic payoff of the chosen action and the frequency with which the action has been chosen in the past. We analyze optimal strategies associated with three types of evaluations of infinite payoffs: discounted present value, the limit inferior, and the limit superior of the partial averages. We show that when the first two are the evaluation schemes, a stationary strategy can always achieve the best possible outcome. However, for the latter evaluation scheme, a stationary strategy can achieve the best outcome only if all actions that are chosen with strictly positive frequency by an optimal stationary strategy have the same basic payoff.