Constructions of Nash equilibria in stochastic games of resource extraction with additive transition structure
type: Item
instance of: scholarly article
title: Constructions of Nash equilibria in stochastic games of resource extraction with additive transition structure
zbMATH Open document ID: 1148.91005
author: Piotr Szajowski
published in: Mathematical Methods of Operations Research
publication date: 2007-05-31T00:00:00Z
review text: 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.
reviewed by: Anna Jaskiewicz
Mathematics Subject Classification ID: 91A15
Mathematics Subject Classification ID: 91A10
zbMATH DE Number: 5159733
zbMATH Keywords: Nash equilibrium
zbMATH Keywords: stochastic game
zbMATH Keywords: resource extraction game
zbMATH Keywords: economic application
MaRDI profile type: Publication
full work available at URL: s00186-005-0015-7
OpenAlex ID: W1989725493
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DOI: 10.1007/S00186-005-0015-7
description: scientific article; zbMATH DE number 5159733