Existence of nash equilibria in two-person stochastic games of resource extraction
Volume 71 / 2006
Banach Center Publications 71 (2006), 291-302
MSC: Primary 91A15.
DOI: 10.4064/bc71-0-24
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.
