On a new class of nonzero-sum discounted stochastic games having stationary Nash equilibrium points
type: Item
instance of: scholarly article
title: On a new class of nonzero-sum discounted stochastic games having stationary Nash equilibrium points
zbMATH Open document ID: 1088.91006
author: Andrzej S. Nowak
published in: International Journal of Game Theory
publication date: 2004-07-07T00:00:00Z
review text: The author presents a new class of stochastic games which have stationary Nash equilibria. For this class the transition probability functions are combinations of finitely measures (non necessarily atomless) on the state space with coefficients depending on the state and action variables. The method of proof combines the ideas used in studying correlated equilibria in stochastic games with Borel state spaces and Nash equilibria in stochastic games with denumerable state spaces. In a last section it is shown that this method can be applied to study a large class of stochastic games of capital accumulation/resource extraction where many assumptions used in previous papers on the subject can be dropped.
reviewed by: J.-P. Lepeltier
Mathematics Subject Classification ID: 91A15
Mathematics Subject Classification ID: 91A10
Mathematics Subject Classification ID: 91A25
Mathematics Subject Classification ID: 91B62
zbMATH DE Number: 2078301
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 2078301