Constructions of Nash equilibria in stochastic games of resource extraction with additive transition structure
This paper deals with a discounted \(N\)-person stochastic game of resource extraction. The main result concerns the existence of a nonrandomized Nash equilibrium in such a game with an infinite time horizon. The author also provides an algorithm for finding this solution. Namely, it turns out that here Nash equilibria obtained for games within a finite time horizon converge to the Nash equilibrium in a game with an infinite time horizon. Moreover, some interesting numerical examples are added.
scientific article; zbMATH DE number 5159733