Existence of equilibrium stationary strategies in discounted noncooperative stochastic games with uncountable state space

1985 ◽  
Vol 45 (4) ◽  
pp. 591-602 ◽  
Author(s):  
A. S. Nowak
Keyword(s):  
State Space ◽  
Stochastic Games ◽  
Existence Of Equilibrium ◽  
Stationary Strategies ◽  
Noncooperative Stochastic Games ◽  
Uncountable State Space

scholarly journals Stochastic games with metric state space

1980 ◽  
Vol 9 (1) ◽  
pp. 25-36 ◽  
Author(s):  
H. A. M. Couwenbergh
Keyword(s):  
State Space ◽  
Stochastic Games

Existence of p-Equilibrium and Optimal Stationary Strategies in Stochastic Games

1976 ◽  
Vol 60 (1) ◽  
pp. 245 ◽  
Author(s):  
C. J. Himmelberg ◽  
T. Parthasarathy ◽  
T. E. S. Raghavan ◽  
F. S. Van Vleck
Keyword(s):  
Stochastic Games ◽  
Stationary Strategies ◽  
Optimal Stationary Strategies

scholarly journals STATIONARY STRATEGIES IN ZERO-SUM STOCHASTIC GAMES

2001 ◽  
Vol 03 (04) ◽  
pp. 283-290
Author(s):  
J. FLESCH ◽  
F. THUIJSMAN ◽  
O. J. VRIEZE
Keyword(s):  
Finite Number ◽  
Stochastic Games ◽  
Stationary Strategies ◽  
Pure Strategies ◽  
Zero Sum

We deal with zero-sum stochastic games. We demonstrate the importance of stationary strategies by showing that stationary strategies are better (in terms of the rewards they guarantee for a player, against any strategy of his opponent) than (1) pure strategies (even history-dependent ones), (2) strategies which may use only a finite number of different mixed actions in any state, and (3) strategies with finite recall. Examples are given to clarify the issues.

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