Communicating zero-sum product stochastic games

被引：2

作者：

Garrec, Tristan ^{[1
]}

机构：

[1] Univ Toulouse 1 Capitole, Toulouse Sch Econ, 21 Allee Brienne, F-31000 Toulouse, France

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2019年 / 477卷 / 01期

关键词：

Stochastic games; Zero sum; Uniform value; Asymptotic value; Communication property;

D O I：

10.1016/j.jmaa.2019.04.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study two classes of zero-sum stochastic games with compact action sets and a finite product state space. These two classes assume a communication property on the state spaces of the players. For strongly communicating on one side games, we prove the existence of the uniform value. For weakly communicating on both sides games, we prove that the asymptotic value, and therefore the uniform value, may fail to exist. (C) 2019 Elsevier Inc. All rights reserved.

引用

页码：60 / 84

页数：25

共 50 条

[1] General limit value in zero-sum stochastic games
Ziliotto, Bruno
INTERNATIONAL JOURNAL OF GAME THEORY, 2016, 45 (1-2) : 353 - 374
[2] A note on two-person zero-sum communicating stochastic games
Avsar, Zeynep Muge
Baykal-Gursoy, Melike
OPERATIONS RESEARCH LETTERS, 2006, 34 (04) : 412 - 420
[3] General limit value in zero-sum stochastic games
Bruno Ziliotto
International Journal of Game Theory, 2016, 45 : 353 - 374
[4] Definable Zero-Sum Stochastic Games
Bolte, Jerome
Gaubert, Stephane
Vigeral, Guillaume
MATHEMATICS OF OPERATIONS RESEARCH, 2015, 40 (01) : 171 - 191
[5] Limit Optimal Trajectories in Zero-Sum Stochastic Games
Sorin, Sylvain
Vigeral, Guillaume
DYNAMIC GAMES AND APPLICATIONS, 2020, 10 (02) : 555 - 572
[6] Zero-sum stochastic games with partial information
Ghosh, MK
McDonald, D
Sinha, S
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2004, 121 (01) : 99 - 118
[7] Zero-Sum Stochastic Games with Partial Information
M. K. Ghosh
D. McDonald
S. Sinha
Journal of Optimization Theory and Applications, 2004, 121 : 99 - 118
[8] Constant payoff in zero-sum stochastic games
Catoni, Olivier
Oliu-Barton, Miquel
Ziliotto, Bruno
ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 2021, 57 (04): : 1888 - 1900
[9] FICTITIOUS PLAY IN ZERO-SUM STOCHASTIC GAMES
Sayin, Muhammed O.
Parise, Francesca
Ozdaglar, Asuman
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2022, 60 (04) : 2095 - 2114
[10] On Canonical Forms for Zero-Sum Stochastic Mean Payoff Games
Endre Boros
Khaled Elbassioni
Vladimir Gurvich
Kazuhisa Makino
Dynamic Games and Applications, 2013, 3 : 128 - 161

← 1 2 3 4 5 →