Linear quadratic differential games with mixed leadership: The open-loop solution

Alain Bensoussan;  ; Shaokuan Chen; Suresh P. Sethi

doi:10.3934/naco.2013.3.95

Linear quadratic differential games with mixed leadership: The open-loop solution

Numerical Algebra Control & Optimization ◽

10.3934/naco.2013.3.95 ◽

2013 ◽

Vol 3 (1) ◽

pp. 95-108 ◽

Cited By ~ 8

Author(s):

Alain Bensoussan ◽

◽

Shaokuan Chen ◽

Suresh P. Sethi

Keyword(s):

Differential Games ◽

Quadratic Differential ◽

Open Loop ◽

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 ◽

Cited By ~ 27

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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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 ◽

Cited By ~ 7

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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Nonexistence and nonuniqueness of open-loop equilibria in linear-quadratic differential games

Journal of Optimization Theory and Applications ◽

10.1007/bf00934951 ◽

1982 ◽

Vol 37 (4) ◽

pp. 443-468 ◽

Cited By ~ 25

Author(s):

T. Eisele

Keyword(s):

Differential Games ◽

Quadratic Differential ◽

Open Loop ◽

Linear Quadratic ◽

Linear Quadratic Differential Games

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Existence and Uniqueness of Open-Loop Stackelberg Equilibria in Linear-Quadratic Differential Games

Journal of Optimization Theory and Applications ◽

10.1023/a:1017532210579 ◽

2001 ◽

Vol 110 (3) ◽

pp. 515-544 ◽

Cited By ~ 33

Author(s):

G. Freiling ◽

G. Jank ◽

S. R. Lee

Keyword(s):

Differential Games ◽

Quadratic Differential ◽

Existence And Uniqueness ◽

Open Loop ◽

Linear Quadratic ◽

Linear Quadratic Differential Games

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Exact line search method for solving nonsymmetric algebraic riccati equations arising from open-loop linear quadratic differential games

2016 International Conference on Instrumentation, Control and Automation (ICA) ◽

10.1109/ica.2016.7811484 ◽

2016 ◽

Author(s):

Kirtyana Nindita ◽

Salmah

Keyword(s):

Differential Games ◽

Quadratic Differential ◽

Line Search ◽

Open Loop ◽

Search Method ◽

Linear Quadratic ◽

Algebraic Riccati Equations ◽

Exact Line Search ◽

Line Search Method ◽

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 ◽

Cited By ~ 60

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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Linear Quadratic Differential Games in a Hilbert Space

SIAM Journal on Control and Optimization ◽

10.1137/0314010 ◽

1976 ◽

Vol 14 (1) ◽

pp. 120-136 ◽

Cited By ~ 18

Author(s):

Akira Ichikawa

Keyword(s):

Hilbert Space ◽

Differential Games ◽

Quadratic Differential ◽

Linear Quadratic ◽

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 ◽

Cited By ~ 6

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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