Existence of the limit value of two person zero-sum discounted repeated games via comparison theorems

DOI10.1007/s10957-012-0193-4zbMath1268.91019OpenAlexW2054447184MaRDI QIDQ353168

Sylvain Sorin, Guillaume Vigeral

Publication date: 12 July 2013

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

Full work available at URL: https://doi.org/10.1007/s10957-012-0193-4

zbMATH Keywords

variational inequalitiescomparison principlerepeated gamesstochastic gamesincomplete informationasymptotic value

Mathematics Subject Classification ID

Variational inequalities (49J40) 2-person games (91A05) Multistage and repeated games (91A20)

Related Items (8)

A zero-sum stochastic game with compact action sets and no asymptotic value ⋮ Preface: Special issue in honor of the 60th birthday of Sylvain Sorin ⋮ Uniform value for recursive games with compact action sets ⋮ Acyclic Gambling Games ⋮ Limit optimal trajectories in zero-sum stochastic games ⋮ Definable Zero-Sum Stochastic Games ⋮ A formula for the value of a stochastic game ⋮ Reversibility and oscillations in zero-sum discounted stochastic games

Cites Work

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• Explicit formulas for repeated games with absorbing states
• Repeated games with absorbing states
• The value of two-person zero-sum repeated games with lack of information on both sides
• Variational Inequalities, System of Functional Equations, and Incomplete Information Repeated Games
• Stochastic Games
• An operator approach to zero-sum repeated games

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