Abstract
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.
Citation
Eilon Solan. Nicolas Vieille. "Uniform value in recursive games." Ann. Appl. Probab. 12 (4) 1185 - 1201, November 2002. https://doi.org/10.1214/aoap/1037125859
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