Uniform value in recursive games

Eilon Solan*, Nicolas Vieille

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Pages (from-to)1185-1201
Number of pages17
JournalAnnals of Applied Probability
Issue number4
StatePublished - Nov 2002


  • Stochastic games
  • Uniform value
  • Value


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