Principles of Stable Cooperation in Stochastic Games

The paper considers stochastic games in the class of stationary strategies. The cooperative form of this class of stochastic games is constructed. The cooperative solution is found. Conditions of dynamic stability for stochastic games are obtained. Principles of dynamic stability include three conditions: subgame consistency, strategic stability and irrational behavior proof condition of the cooperative agreement. Also the paper considers the example for which the cooperative agreement is found and the conditions of dynamic stability are checked.