Finitely additive stochastic games with Borel measurable payoffs
type: Item
instance of: scholarly article
title: Finitely additive stochastic games with Borel measurable payoffs
zbMATH Open document ID: 0947.91013
published in: International Journal of Game Theory
publication date: 2000-04-11T00:00:00Z
review text: The authors consider a zero-sum two-person stochastic game in which the state space and the action space are arbitrary, the pay-off function is bounded and Borel measurable and the transition law is assumed to be merely finitely additive. It is shown that such game has a value. The result proved in this paper is an improvement over the main result presented by the authors in their paper `Finitely additive measurable stochastic games' [Int. J. Game Theory 22, 201-223 (1993; Zbl 0789.90095)]. The proof relies heavily on the arguments presented in a paper by \textit{D. A. Martin} [J. Symb. Logic 63, 1565-1581 (1998; Zbl 0926.03071)].
Mathematics Subject Classification ID: 91A15
Mathematics Subject Classification ID: 91A05
zbMATH DE Number: 1429804
zbMATH Keywords: stochastic games
zbMATH Keywords: value
zbMATH Keywords: finitely additive measure
zbMATH Keywords: Borel measurable
author: A. Maitra
author: William D. Sudderth
reviewed by: Srinivas Raghava Mohan
MaRDI profile type: Publication
full work available at URL: s001820050071
OpenAlex ID: W2056545661
DOI: 10.1007/S001820050071
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description: scientific article; zbMATH DE number 1429804