Repeated games with absorbing states and no signals

We recall the definition of stochastic games with signals. We show the existence of the MaxMin and MinMax if there is only one non absorbing state and if the players have no information about the other player's actions but only recall their own past moves.

[1]  D. Blackwell,et al.  THE BIG MATCH , 1968, Classics in Game Theory.

[2]  L. Shapley,et al.  Stochastic Games* , 1953, Proceedings of the National Academy of Sciences.

[3]  Elon Kohlberg,et al.  The Asymptotic Theory of Stochastic Games , 1976, Math. Oper. Res..

[4]  E. Kohlberg Repeated Games with Absorbing States , 1974 .