On Pure Nash Equilibria in Stochastic Games

被引：1

作者：

Das, Ankush ^{[1
]}

Krishna, Shankara Narayanan ^{[1
]}

Manasa, Lakshmi ^{[1
]}

Trivedi, Ashutosh ^{[1
]}

Wojtczak, Dominik ^{[2
]}

机构：

[1] Indian Inst Technol, Dept Comp Sci & Engn, Mumbai, Maharashtra, India

[2] Univ Liverpool, Dept Comp Sci, Liverpool, Merseyside, England

来源：

THEORY AND APPLICATIONS OF MODELS OF COMPUTATION (TAMC 2015) | 2015年 / 9076卷

基金：

英国工程与自然科学研究理事会;

关键词：

Stochastic games; Nash equilibrium; Pure strategy; Finite-state strategy; COMPLEXITY;

D O I：

10.1007/978-3-319-17142-5_31

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

Ummels and Wojtczak initiated the study of finding Nash equilibria in simple stochastic multi-player games satisfying specific bounds. They showed that deciding the existence of pure-strategy Nash equilibria (pureNE) where a fixed player wins almost surely is undecidable for games with 9 players. They also showed that the problem remains undecidable for the finite-strategy Nash equilibrium (finNE) with 14 players. In this paper we improve their undecidability results by showing that pureNE and finNE problems remain undecidable for 5 or more players.

引用

页码：359 / 371

页数：13

共 50 条

[21] Existence of nash equilibria for constrained stochastic games
Jorge Alvarez-Mena
Onésimo Hernández-Lerma
Mathematical Methods of Operations Research, 2006, 63 : 261 - 285
[22] Decision Problems for Nash Equilibria in Stochastic Games
Ummels, Michael
Wojtczak, Dominik
COMPUTER SCIENCE LOGIC, PROCEEDINGS, 2009, 5771 : 515 - +
[23] On the Existence of Pure Nash Equilibria in Weighted Congestion Games
Harks, Tobias
Klimm, Max
MATHEMATICS OF OPERATIONS RESEARCH, 2012, 37 (03) : 419 - 436
[24] On pure-strategy Nash equilibria in large games
Wu, Bin
GAMES AND ECONOMIC BEHAVIOR, 2022, 132 : 305 - 315
[25] Computing Approximate Pure Nash Equilibria in Congestion Games
Caragiannis, Ioannis
Fanelli, Angelo
Gravin, Nick
Skopalik, Alexander
ACM SIGECOM EXCHANGES, 2012, 11 (01) : 26 - 29
[26] Distributed Search for Pure Nash Equilibria in Graphical Games
Litov, Omer
Meisels, Amnon
AAMAS'16: PROCEEDINGS OF THE 2016 INTERNATIONAL CONFERENCE ON AUTONOMOUS AGENTS & MULTIAGENT SYSTEMS, 2016, : 1279 - 1280
[27] On the Existence of Pure Nash Equilibria in Weighted Congestion Games
Harks, Tobias
Klimm, Max
AUTOMATA, LANGUAGES AND PROGRAMMING, PT I, 2010, 6198 : 79 - 89
[28] Pure nash equilibria in games with a large number of actions
Alvarez, C
Gabarró, J
Serna, M
MATHEMATICAL FOUNDATIONS OF COMPUTER SCIENCE 2005, PROCEEDINGS, 2005, 3618 : 95 - 106
[29] On the number of pure strategy Nash equilibria in random games
Rinott, Y
Scarsini, M
GAMES AND ECONOMIC BEHAVIOR, 2000, 33 (02) : 274 - 293
[30] On pure stationary almost Markov Nash equilibria in nonzero-sum ARAT stochastic games
Anna Jaśkiewicz
Andrzej S. Nowak
Mathematical Methods of Operations Research, 2015, 81 : 169 - 179

← 1 2 3 4 5 →