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Dynamic Games and Applications

Erschienen in:

07.06.2018

Risk-Sensitive Average Equilibria for Discrete-Time Stochastic Games

verfasst von: Qingda Wei, Xian Chen

Erschienen in: Dynamic Games and Applications | Ausgabe 2/2019

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Abstract

In this paper, we study the risk-sensitive average payoff criterion for the nonzero-sum discrete-time stochastic games with a denumerable state space. The risk-sensitivity coefficient can take positive values and negative values. Under the suitable conditions, we show the existence of a solution to the coupled equations by a technique of the discounted approximation, and obtain the existence of a stationary Nash equilibrium. Moreover, we present some verifiable sufficient conditions imposed on the primitive data of the model for the verification of our assumption and use an example to illustrate that our conditions are weaker than those in the existing literature.

Vorheriger Artikel A Survey on the Relationship Between the Game of Cops and Robbers and Other Game Representations

Nächster Artikel Cooperative Dynamic Games with Control Lags

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Titel: Risk-Sensitive Average Equilibria for Discrete-Time Stochastic Games
verfasst von: Qingda Wei
Xian Chen
Publikationsdatum: 07.06.2018
Verlag: Springer US
Erschienen in: Dynamic Games and Applications / Ausgabe 2/2019
Print ISSN: 2153-0785
Elektronische ISSN: 2153-0793
DOI: https://doi.org/10.1007/s13235-018-0267-5

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