PERFECT EQUILIBRIA IN STOCHASTIC GAMES

F THUIJSMAN; SH TIJS; OJ VRIEZE

doi:10.1007/BF00940646

PERFECT EQUILIBRIA IN STOCHASTIC GAMES

F THUIJSMAN^*, SH TIJS, OJ VRIEZE

^*Corresponding author for this work

Networks and Strategic Optimization

Research output: Contribution to journal › Article › Academic › peer-review

Abstract

We examine stochastic games with finite state and action spaces. For the beta-discounted case, as well as for the irreducible limiting average case, we show the existence of trembling-hand perfect equilibria and give characterizations of those equilibria. In the final section, we give an example which illustrates that the existence of stationary limiting average equilibria in a nonirreducible stochastic game does not imply the existence of a perfect limiting average equilibrium.

Original language	English
Pages (from-to)	311-324
Journal	Journal of Optimization Theory and Applications
Volume	69
Issue number	2
DOIs	https://doi.org/10.1007/BF00940646
Publication status	Published - May 1991

Keywords

STOCHASTIC GAMES
EQUILIBRIA
TREMBLING-HAND PERFECT EQUILIBRIA

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10.1007/BF00940646

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title = "PERFECT EQUILIBRIA IN STOCHASTIC GAMES",

abstract = "We examine stochastic games with finite state and action spaces. For the beta-discounted case, as well as for the irreducible limiting average case, we show the existence of trembling-hand perfect equilibria and give characterizations of those equilibria. In the final section, we give an example which illustrates that the existence of stationary limiting average equilibria in a nonirreducible stochastic game does not imply the existence of a perfect limiting average equilibrium.",

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author = "F THUIJSMAN and SH TIJS and OJ VRIEZE",

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AU - TIJS, SH

AU - VRIEZE, OJ

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N2 - We examine stochastic games with finite state and action spaces. For the beta-discounted case, as well as for the irreducible limiting average case, we show the existence of trembling-hand perfect equilibria and give characterizations of those equilibria. In the final section, we give an example which illustrates that the existence of stationary limiting average equilibria in a nonirreducible stochastic game does not imply the existence of a perfect limiting average equilibrium.

AB - We examine stochastic games with finite state and action spaces. For the beta-discounted case, as well as for the irreducible limiting average case, we show the existence of trembling-hand perfect equilibria and give characterizations of those equilibria. In the final section, we give an example which illustrates that the existence of stationary limiting average equilibria in a nonirreducible stochastic game does not imply the existence of a perfect limiting average equilibrium.

KW - STOCHASTIC GAMES

KW - EQUILIBRIA

KW - TREMBLING-HAND PERFECT EQUILIBRIA

U2 - 10.1007/BF00940646

DO - 10.1007/BF00940646

M3 - Article

SN - 0022-3239

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SP - 311

EP - 324

JO - Journal of Optimization Theory and Applications

JF - Journal of Optimization Theory and Applications

IS - 2

ER -

PERFECT EQUILIBRIA IN STOCHASTIC GAMES

Abstract

Keywords

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