Nash equilibrium in differential games and the quasi-strategy formalism

被引：0

作者：

Yu. V. Averboukh

机构：

[1] Russian Academy of Sciences,Institute of Mathematics and Mechanics, Ural Branch

[2] Ural Federal University,undefined

来源：

Automation and Remote Control | 2014年 / 75卷

关键词：

Nash Equilibrium; Remote Control; NASH; Generalize Control; Differential Game;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We consider a two-player nonzero-sum differential game in the case where players use nonanticipative strategies. We define the Nash equilibrium in this case and obtain a characterization of Nash equilibrium strategies. We show that a Nash equilibrium solution can be approximately realized by control-with-guide strategies.

引用

页码：1491 / 1502

页数：11

共 50 条

[21] The Nash Equilibrium With Inertia in Population Games
Gentile, Basilio
Paccagnan, Dario
Ogunsula, Bolutife
Lygeros, John
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2021, 66 (12) : 5742 - 5755
[22] Generalized quantum games with Nash Equilibrium
Liu, XF
COMMUNICATIONS IN THEORETICAL PHYSICS, 2004, 41 (04) : 553 - 556
[23] On the existence of Nash equilibrium in discontinuous games
Nessah, Rabia
Tian, Guoqiang
ECONOMIC THEORY, 2016, 61 (03) : 515 - 540
[24] Nash equilibrium in games with incomplete preferences
Bade, S
ECONOMIC THEORY, 2005, 26 (02) : 309 - 332
[25] On the existence of Nash equilibrium in discontinuous games
Rabia Nessah
Guoqiang Tian
Economic Theory, 2016, 61 : 515 - 540
[26] Nash equilibrium in games with incomplete preferences
Sophie Bade
Economic Theory, 2005, 26 : 309 - 332
[27] OPTIMAL STOPPING GAMES AND NASH EQUILIBRIUM
Peskir, G.
THEORY OF PROBABILITY AND ITS APPLICATIONS, 2009, 53 (03) : 558 - 571
[28] Interperceptional equilibrium as a generalization of Nash equilibrium in games with interperception
Inohara, T
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART A-SYSTEMS AND HUMANS, 2000, 30 (06): : 625 - 638
[29] Probabilistic Tit-for-Tat Strategy versus Nash equilibrium for Infinitely Repeated Games
Madhumidha, K.
Vijayarangan, N.
Padmanabhan, K.
Satish, B.
Kartick, N.
Ganesan, Viswanath
PROCEEDINGS 2017 INTERNATIONAL CONFERENCE ON COMPUTATIONAL SCIENCE AND COMPUTATIONAL INTELLIGENCE (CSCI), 2017, : 168 - 173
[30] Mixed Strategy Nash Equilibrium for Scheduling Games on Batching-Machines with Activation Cost
Zhang, Long
Wang, Zhiwen
Wang, Jingwen
Du, Donglei
Luo, Chuanwen
TSINGHUA SCIENCE AND TECHNOLOGY, 2025, 30 (02): : 519 - 527

← 1 2 3 4 5 →