Acceptable strategy profiles in stochastic games

Eilon Solan

doi:10.1016/j.geb.2017.01.011

Acceptable strategy profiles in stochastic games

Eilon Solan

School of Mathematical Sciences

Tel Aviv University

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

Abstract

This paper presents a new solution concept for multiplayer stochastic games, namely, acceptable strategy profiles. For each player i and state s in a stochastic game, let w_i(s) be a real number. A strategy profile is w-acceptable, where w=(w_i(s)), if the discounted payoff to each player i at every initial state s is at least w_i(s), provided the discount factor of the players is sufficiently close to 1. Our goal is to provide simple strategy profiles that are w-acceptable for payoff vectors w in which all coordinates are high.

Original language	English
Pages (from-to)	523-540
Number of pages	18
Journal	Games and Economic Behavior
Volume	108
DOIs	https://doi.org/10.1016/j.geb.2017.01.011
State	Published - Mar 2018

Keywords

Acceptable strategy profiles
Automata
Stochastic games

All Science Journal Classification (ASJC) codes

Finance
Economics and Econometrics

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10.1016/j.geb.2017.01.011

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abstract = "This paper presents a new solution concept for multiplayer stochastic games, namely, acceptable strategy profiles. For each player i and state s in a stochastic game, let wi(s) be a real number. A strategy profile is w-acceptable, where w=(wi(s)), if the discounted payoff to each player i at every initial state s is at least wi(s), provided the discount factor of the players is sufficiently close to 1. Our goal is to provide simple strategy profiles that are w-acceptable for payoff vectors w in which all coordinates are high.",

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AB - This paper presents a new solution concept for multiplayer stochastic games, namely, acceptable strategy profiles. For each player i and state s in a stochastic game, let wi(s) be a real number. A strategy profile is w-acceptable, where w=(wi(s)), if the discounted payoff to each player i at every initial state s is at least wi(s), provided the discount factor of the players is sufficiently close to 1. Our goal is to provide simple strategy profiles that are w-acceptable for payoff vectors w in which all coordinates are high.

KW - Acceptable strategy profiles

KW - Automata

KW - Stochastic games

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DO - 10.1016/j.geb.2017.01.011

M3 - مقالة

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VL - 108

SP - 523

EP - 540

JO - Games and Economic Behavior

JF - Games and Economic Behavior

ER -

Acceptable strategy profiles in stochastic games

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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