The Suboptimal Nash Equilibrium Strategy For Two-person Continuous Nonlinear-quadratic Differential Game

被引：0

作者：

Zhang Chengke ^{[1
]}

Bin Ning ^{[1
]}

Sun Peihong ^{[1
]}

机构：

[1] Guangdong Univ Technol, Sch Econ & Management, Guangzhou 510090, Guangdong, Peoples R China

来源：

ICPOM2008: PROCEEDINGS OF 2008 INTERNATIONAL CONFERENCE OF PRODUCTION AND OPERATION MANAGEMENT, VOLUMES 1-3 | 2008年

关键词：

nonlinear systems; differential game; Nash equilibrium; successive approximation approach;

D O I：

暂无

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

This paper deals with a class of Nash equilibrium strategy problems for two-person continuous nonlinear-quadratic dynamic game. A successive approximation approach (SAA) is presented. By using SAA, the nonlinear system Nash equilibrium problem is transformed into a sequence of special non-homogeneous linear two-point boundary value (TPBV). The finite-step iteration manner of the Nash equilibrium strategy is derived, and the uniformity and absolutization of the algorithm's convergence has been proved.

引用

页码：1739 / 1742

页数：4

共 17 条

[1] The Suboptimal Nash Equilibrium Strategy For Two-person Continuous Nonlinear-quadratic Differential Game
Zhang Chengke
Bin Ning
Sun Peihong
ICPOM2008: PROCEEDINGS OF 2008 INTERNATIONAL CONFERENCE OF PRODUCTION AND OPERATION MANAGEMENT, VOLUMES 1-3, 2008, : 1187 - 1190
[2] Nash equilibrium strategy of two-person bilinear-quadratic differential game: a recursive approach
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WCICA 2006: SIXTH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION, VOLS 1-12, CONFERENCE PROCEEDINGS, 2006, : 1075 - +
[3] Two-person game with nash equilibrium in optimal control problems
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[4] Two-person game with nash equilibrium in optimal control problems
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[5] On some properties of Nash equilibrium points in two-person games
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[6] On some properties of Nash equilibrium points in two-person games
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[7] Search of Nash Equilibrium in Quadratic n-person Game
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[8] Nash-solvable two-person symmetric cycle game forms
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[9] Construction of control ensuring equilibrium conditions in a multistep two-person positional game
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COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2014, 54 (06) : 931 - 938
[10] Construction of control ensuring equilibrium conditions in a multistep two-person positional game
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Computational Mathematics and Mathematical Physics, 2014, 54 : 931 - 938

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