Nonrandomized strategy equilibria in noncooperative stochastic games with additive transition and reward structure

DOI10.1007/BF00938215zbMath0585.90102MaRDI QIDQ1071663

Andrzej S. Nowak

Publication date: 1987

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

zbMATH Keywords

existence theoremdiscounted rewardsabstract measurable state spacecompact metric action spaces of players, additive transition and reward structurediscounted noncooperative stochastic gameequilibrium stationary pointnonrandomized stationary equilibria

Mathematics Subject Classification ID

Noncooperative games (91A10) Stochastic games, stochastic differential games (91A15) Probabilistic games; gambling (91A60)

Related Items (6)

EQUILIBRIUM STRATEGIES IN STOCHASTIC GAMES WITH ADDITIVE COST AND TRANSITION STRUCTURE ⋮ Stationary Markov Nash Equilibria for Nonzero-Sum Constrained ARAT Markov Games ⋮ Existence of Nash equilibria for constrained stochastic games ⋮ Zero-sum Markov games with random state-actions-dependent discount factors: existence of optimal strategies ⋮ A nonzero-sum stochastic differential game in the orthant ⋮ On pure stationary almost Markov Nash equilibria in nonzero-sum ARAT stochastic games

Cites Work

• On stochastic games with additive reward and transition structure
• Existence of equilibrium stationary strategies in discounted noncooperative stochastic games with uncountable state space
• An extension of the usual model in statistical decision theory with applications to stochastic optimization problems
• A selection theorem for optimization problems
• Measurable sets of measures
• A Unifying Note on Fatou's Lemma in Several Dimensions
• A general denseness result for relaxed control theory
• Generalizations of Castaing's theorem on selectors
• Existence of p-Equilibrium and Optimal Stationary Strategies in Stochastic Games
• Optimal Plans for Dynamic Programming Problems
• Discounted Dynamic Programming
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• Unnamed Item

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