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JOURNALS // Matematicheskaya Teoriya Igr i Ee Prilozheniya // Archive

Mat. Teor. Igr Pril., 2014 Volume 6, Issue 1, Pages 56–72 (Mi mgta127)

This article is cited in 2 papers

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

Elena M. Parilina

Saint Petersburg State University

Abstract: 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.

Keywords: stochastic game, Nash equilibrium, strategic stability, payoff distribution procedure, subgame consistency, time consistency.

UDC: 519.83
BBK: 22.18



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