Strategic stability of one-point optimality principles in cooperative stochastic games

Cooperative stochastic games are investigated in the paper. The construction of stable cooperation is an actual problem for this class of dynamic games. One of stable cooperation principles is the strategic stability of the cooperative decision or the cooperative optimality principle chosen by the players. Strategic stability guarantees that the players' cooperative payoffs can be obtained if players realize a Nash equilibrium. Sufficient conditions of the strategic stability of the single-point optimality principle are obtained.