Uniform value in recursive games

• 成果类型: Article
• 署名作者: Solan, E; Vieille, N
• 署名单位: Northwestern University; Tel Aviv University; Hautes Etudes Commerciales (HEC) Paris
• 刊物名称: ANNALS OF APPLIED PROBABILITY
• ISSN/ISSBN: 1050-5164
• 发表日期: 2002
• 页码: 1185-1201
• 关键词: strategies

摘要

We address the problem of existence of the uniform value in recursive games. We give two existence results: (i) the uniform value is shown to exist if the state space is countable, the action sets are finite and if, for some a > 0, there are finitely many states in which the limsup value is less than a; (ii) for games with nonnegative payoff function, it is sufficient that the action set of player 2 is finite. The finiteness assumption can be further weakened.