Existence of Nash equilibria in two-person stochastic games of resource extraction

• Autorzy: P. Szajowski
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 91A15: Stochastic games

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2006
• Tom: 71
• Numer: 1
• Strony: 291-302

Daty

wydano

2006

Twórcy

autor

P. Szajowski

• Institute of Mathematics, Wrocław University of Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland

Identyfikatory

DOI

10.4064/bc71-0-24