On the closed loop Nash equilibrium strategy for a class of sampled data stochastic linear quadratic differential games

Chaos Solitons & Fractals ◽

10.1016/j.chaos.2020.109877 ◽

2020 ◽

Vol 137 ◽

pp. 109877

Author(s):

Vasile Drăgan ◽

Ivan G. Ivanov ◽

Ioan-Lucian Popa

Keyword(s):

Nash Equilibrium ◽

Differential Games ◽

Quadratic Differential ◽

Closed Loop ◽

Equilibrium Strategy ◽

Sampled Data ◽

Linear Quadratic ◽

Nash Equilibrium Strategy ◽

Linear Quadratic Differential Games

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WITHDRAWN: On the Closed Loop Nash Equilibrium Strategy for a Class of Sampled Data Stochastic Linear Quadratic Differential Games

Chaos Solitons & Fractals X ◽

10.1016/j.csfx.2020.100028 ◽

2020 ◽

pp. 100028

Author(s):

Vasile Drăgan ◽

Ivan G. Ivanov ◽

Ioan-Lucian Popa

Keyword(s):

Nash Equilibrium ◽

Differential Games ◽

Quadratic Differential ◽

Closed Loop ◽

Equilibrium Strategy ◽

Sampled Data ◽

Linear Quadratic ◽

Nash Equilibrium Strategy ◽

Linear Quadratic Differential Games

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Approximate Nash Equilibrium Solutions of Linear Quadratic Differential Games

IFAC-PapersOnLine ◽

10.1016/j.ifacol.2020.12.091 ◽

2020 ◽

Vol 53 (2) ◽

pp. 6685-6690

Author(s):

Domenico Cappello ◽

Thulasi Mylvaganam

Keyword(s):

Nash Equilibrium ◽

Differential Games ◽

Quadratic Differential ◽

Equilibrium Solutions ◽

Linear Quadratic ◽

Approximate Nash Equilibrium ◽

Linear Quadratic Differential Games ◽

Nash Equilibrium Solutions

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Linear Quadratic Differential Games: Closed Loop Saddle Points

SIAM Journal on Control and Optimization ◽

10.1137/070696593 ◽

2009 ◽

Vol 47 (6) ◽

pp. 3138-3166 ◽

Author(s):

Michel C. Delfour ◽

Olivier Dello Sbarba

Keyword(s):

Differential Games ◽

Quadratic Differential ◽

Closed Loop ◽

Saddle Points ◽

Linear Quadratic ◽

Linear Quadratic Differential Games

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Open-loop Nash equilibrium of N-person nonzero sum linear-quadratic differential games with magnitude restraints

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(74)90245-5 ◽

1974 ◽

Vol 46 (2) ◽

pp. 352-357 ◽

Author(s):

Ronald J Stern

Keyword(s):

Nash Equilibrium ◽

Differential Games ◽

Quadratic Differential ◽

Open Loop ◽

Linear Quadratic ◽

Linear Quadratic Differential Games

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Linear-quadratic differential games: Open and Closed Loop Strategies with or without Singularities

2007 46th IEEE Conference on Decision and Control ◽

10.1109/cdc.2007.4435044 ◽

2007 ◽

Author(s):

Michel Delfour ◽

Olivier Dello Sbarba

Keyword(s):

Differential Games ◽

Quadratic Differential ◽

Closed Loop ◽

Linear Quadratic ◽

Linear Quadratic Differential Games

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Some new results in open and closed-loop linear-quadratic differential games

2008 16th Mediterranean Conference on Control and Automation ◽

10.1109/med.2008.4602013 ◽

2008 ◽

Author(s):

Michel Delfour ◽

Olivier Dello Sbarba

Keyword(s):

Differential Games ◽

Quadratic Differential ◽

Closed Loop ◽

Linear Quadratic ◽

Linear Quadratic Differential Games

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Socially Optimal Nash Equilibrium of Switched Linear Quadratic Differential Games

10.23919/ccc52363.2021.9549288 ◽

2021 ◽

Author(s):

Yabing Huang ◽

Jun Zhao

Keyword(s):

Nash Equilibrium ◽

Differential Games ◽

Quadratic Differential ◽

Linear Quadratic ◽

Linear Quadratic Differential Games

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On the solution of the open-loop Nash Riccati equations in linear quadratic differential games

International Journal of Control ◽

10.1080/00207177308932486 ◽

1973 ◽

Vol 18 (1) ◽

pp. 57-63 ◽

Author(s):

M. SIMAAN ◽

J. B. CRUZ

Keyword(s):

Differential Games ◽

Quadratic Differential ◽

Riccati Equations ◽

Open Loop ◽

Linear Quadratic ◽

Linear Quadratic Differential Games

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DECENTRALIZED LINEAR-QUADRATIC DIFFERENTIAL GAMES WITH INCENTIVES11Acknowledgement: The author would like to thank Prof Y C Ho for some very helpful discussions.22This research was partially supported by the National Science Foundation under Grant NSF-ENG-78-15231 and by a grant from Control Data.

Dynamic Modelling and Control of National Economies 1983 ◽

10.1016/b978-0-08-030557-8.50044-8 ◽

1984 ◽

pp. 275-280

Author(s):

M. Pachter

Keyword(s):

Differential Games ◽

Quadratic Differential ◽

National Science Foundation ◽

Linear Quadratic ◽

Control Data ◽

Linear Quadratic Differential Games ◽

National Science

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On the uniqueness of the Nash solution in Linear-Quadratic differential Games

International Journal of Game Theory ◽

10.1007/bf01753310 ◽

1976 ◽

Vol 5 (2-3) ◽

pp. 65-90 ◽

Author(s):

T. Basar

Keyword(s):

Differential Games ◽

Quadratic Differential ◽

Nash Solution ◽

Linear Quadratic ◽

Linear Quadratic Differential Games ◽

The Nash Solution

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