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This paper deals with two-person stochastic games of resource extraction under both the discounted and the mean payoff criterion. Under some concavity and additivity assumptions concerning the payoff and the transition probability function a stationary Nash equilibrium is shown to exist. The proof is based on Schauder-Tychonoff's fixed point theorem, applied to a suitable payoff vector space.
P. Szajowski. "Existence of Nash equilibria in two-person stochastic games of resource extraction." Banach Center Publications 71.1 (2006): 291-302. <http://eudml.org/doc/282176>.
@article{P2006, abstract = {This paper deals with two-person stochastic games of resource extraction under both the discounted and the mean payoff criterion. Under some concavity and additivity assumptions concerning the payoff and the transition probability function a stationary Nash equilibrium is shown to exist. The proof is based on Schauder-Tychonoff's fixed point theorem, applied to a suitable payoff vector space.}, author = {P. Szajowski}, journal = {Banach Center Publications}, language = {eng}, number = {1}, pages = {291-302}, title = {Existence of Nash equilibria in two-person stochastic games of resource extraction}, url = {http://eudml.org/doc/282176}, volume = {71}, year = {2006}, }
TY - JOUR AU - P. Szajowski TI - Existence of Nash equilibria in two-person stochastic games of resource extraction JO - Banach Center Publications PY - 2006 VL - 71 IS - 1 SP - 291 EP - 302 AB - This paper deals with two-person stochastic games of resource extraction under both the discounted and the mean payoff criterion. Under some concavity and additivity assumptions concerning the payoff and the transition probability function a stationary Nash equilibrium is shown to exist. The proof is based on Schauder-Tychonoff's fixed point theorem, applied to a suitable payoff vector space. LA - eng UR - http://eudml.org/doc/282176 ER -