Nash Equilibrium and Robust Stability in Dynamic Games: A Small-Gain Perspective

被引：0
|
作者：
Karafyllis, Iasson [1 ]
Jiang, Zhong-Ping [2 ]
Athanasiou, George [3 ]
机构：
[1] Tech Univ Crete, Dept Environm Engn, Khania 73100, Greece
[2] Polytech Inst New York, Dept Elect & Comp Engn, 333 Jay St, Brooklyn, NY 11201 USA
[3] TT Hellen Postbank, Athens GR-10175, Greece
来源：
49TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC) | 2010年
关键词：
SYSTEM-THEORETIC FRAMEWORK; TO-STATE STABILITY; WIDE CLASS; INPUT; INFORMATION;
D O I：
10.1109/CDC.2010.5717808
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper develops a novel methodology to study robust stability properties of Nash equilibrium points in dynamic games. Small-gain techniques in modern mathematical control theory are used for the first time to derive conditions guaranteeing uniqueness and global asymptotic stability of Nash equilibrium point for economic models described by functional difference equations.
引用
收藏
页码：7425 / 7430
页数：6
相关论文
共 50 条
  • [1] Nash equilibrium and robust stability in dynamic games: A small-gain perspective
    Karafyllis, Iasson
    Jiang, Zhong-Ping
    Athanasiou, George
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 60 (11) : 2936 - 2952
  • [2] Small-gain theorems for stability of infinite networks
    Mironchenko, Andrii
    2019 IEEE 58TH CONFERENCE ON DECISION AND CONTROL (CDC), 2019, : 5617 - 5622
  • [3] GLOBAL STABILITY OF NASH EQUILIBRIUM IN AGGREGATIVE GAMES
    Okuguchi, Koji
    Yamazaki, Takeshi
    INTERNATIONAL GAME THEORY REVIEW, 2014, 16 (04)
  • [4] Nash Equilibrium and Stability in Network Selection Games
    Hota, Mohit
    Kapoor, Sanjiv
    GAME THEORY FOR NETWORKS (GAMENETS 2017), 2017, 212 : 40 - 50
  • [5] A small-gain approach to stability analysis of hybrid systems
    Nesic, Dragan
    Liberzon, Daniel
    2005 44TH IEEE CONFERENCE ON DECISION AND CONTROL & EUROPEAN CONTROL CONFERENCE, VOLS 1-8, 2005, : 5409 - 5414
  • [6] Stability of systems with time-varying delays: An L1 small-gain perspective
    Zhu, Jing
    Chen, Jie
    AUTOMATICA, 2015, 52 : 260 - 265
  • [7] Stability of weighted Nash equilibrium for multiobjective population games
    Yang, Guanghui
    Yang, Hui
    Song, Qiqing
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (06): : 4167 - 4176
  • [8] ON NASH EQUILIBRIUM SOLUTIONS IN STOCHASTIC DYNAMIC-GAMES
    KUMAR, PR
    VANSCHUPPEN, JH
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1980, 25 (06) : 1146 - 1149
  • [9] SURVEY OF NASH AND STACKELBERG EQUILIBRIUM STRATEGIES IN DYNAMIC GAMES
    CRUZ, JB
    ANNALS OF ECONOMIC AND SOCIAL MEASUREMENT, 1975, 4 (02): : 339 - 344
  • [10] Small Nash Equilibrium Certificates in Very Large Games
    Zhang, Brian Hu
    Sandholm, Tuomas
    ADVANCES IN NEURAL INFORMATION PROCESSING SYSTEMS 33, NEURIPS 2020, 2020, 33
12345