Existence and uniqueness of a Nash equilibrium feedback for a simple nonzero-sum differential game

被引：0
|
作者：
Pierre Cardaliaguet
Slawomir Plaskacz
机构：
[1] Université de Bretagne Occidentale,Département de Mathématiques
[2] Nicholas Copernicus University,Faculty of Mathematics and Computer Science
来源：
International Journal of Game Theory | 2003年 / 32卷
关键词：
Nash equilibrium; nonzero-sum differential game;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Existence and uniqueness of a Nash equilibrium feedback is established for a simple class nonzero-sum differential games on the line.
引用
收藏
页码：33 / 71
页数：38
相关论文
共 50 条
  • [41] Nonzero-Sum Stochastic Differential Games with Impulse Controls: A Verification Theorem with Applications
    Aid, Rene
    Basei, Matteo
    Callegaro, Giorgia
    Campi, Luciano
    Vargiolu, Tiziano
    MATHEMATICS OF OPERATIONS RESEARCH, 2020, 45 (01) : 205 - 232
  • [42] The existence and uniqueness of Nash equilibrium point in an m-player game "Shoot later, shoot first!"
    Presman, E.
    Sonin, I.
    INTERNATIONAL JOURNAL OF GAME THEORY, 2006, 34 (02) : 185 - 205
  • [43] The Existence and Uniqueness of Nash Equilibrium Point in an m-player Game “Shoot Later, Shoot First!”
    E. Presman
    I. Sonin
    International Journal of Game Theory, 2006, 34 : 185 - 205
  • [44] Robust Control for Multiplayer Nonzero-Sum Differential Games With Switching Topology and Input Delay
    Zhou, Yinglu
    Li, Yinya
    Sheng, Andong
    Qi, Guoqing
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2025, 35 (03) : 1020 - 1035
  • [45] Nonzero-Sum Game Reinforcement Learning for Performance Optimization in Large-Scale Industrial Processes
    Li, Jinna
    Ding, Jinliang
    Chai, Tianyou
    Lewis, Frank L.
    IEEE TRANSACTIONS ON CYBERNETICS, 2020, 50 (09) : 4132 - 4145
  • [46] Existence, uniqueness, and comparative statics of Nash equilibrium in a game of voluntary public good provision with two public goods
    Suzuki, Kenichi
    Miyakoshi, Tatsuyoshi
    Itaya, Jun-ichi
    Yamanashi, Akitomo
    METROECONOMICA, 2022, 73 (02) : 567 - 582
  • [47] Existence and uniqueness of the Nash equilibrium in the non-cooperative QoS routing
    Conforto, Paolo
    Priscoli, Francesco Delli
    Facchinei, Francisco
    INTERNATIONAL JOURNAL OF CONTROL, 2010, 83 (04) : 776 - 788
  • [48] Model-Free Solution for Inverse Linear-Quadratic Nonzero-Sum Differential Games
    Martirosyan, Emin
    Cao, Ming
    IEEE CONTROL SYSTEMS LETTERS, 2024, 8 : 2445 - 2450
  • [49] A neuro-optimal control method of modular robot manipulators based on nonzero-sum game strategy
    Dong, Bo
    Chen, Jingchen
    Wang, Yuexi
    Ma, Bing
    Liu, Guangjun
    Li, Yuanchun
    2020 CHINESE AUTOMATION CONGRESS (CAC 2020), 2020, : 2711 - 2716
  • [50] Extension strategic game: Concept, transformability and existence of Nash equilibrium
    Liang, ZF
    PROCEEDINGS OF 2002 INTERNATIONAL CONFERENCE ON MANAGEMENT SCIENCE & ENGINEERING, VOLS I AND II, 2002, : 588 - 593
12345