An extension of the coordinate transformation method for open-loop Nash equilibria

DOI10.1023/B:JOTA.0000043990.32923.aczbMath1107.91029MaRDI QIDQ1771098

Dean A. Carlson, George Leitmann

Publication date: 7 April 2005

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

zbMATH Keywords

Nash equilibriacalculus of variationsdynamics games

Mathematics Subject Classification ID

Differential games and control (49N70) Dynamic games (91A25) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (10)

Periodic solutions for a class of second-order ordinary differential equations ⋮ Fractional Noether's theorem in the Riesz-Caputo sense ⋮ G. Leitmann's integral transformation for global optimal control ⋮ A numerical treatment based on Bernoulli Tau method for computing the open-loop Nash equilibrium in nonlinear differential games ⋮ Numerical solution of open-loop Nash differential games based on the Legendre Tau method ⋮ Non-causal models in long term planning via set contractive optimal control methods ⋮ Fields of extremals and sufficient conditions for the simplest problem of the calculus of variations ⋮ Fields of Extremals and Sufficient Conditions for a Class of Open-Loop Variational Games ⋮ Fields of Extremals and Sufficient Conditions for a Class of Variational Games ⋮ Fields of Extremals and Sufficient Conditions for the Simplest Problem of the Calculus of Variations in n-Variables

Cites Work

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• Carathéodory's method for a class of dynamic games.
• An observation on two methods of obtaining solutions to variational problems
• A note on absolute extrema of certain integrals
• Coordinate transformations and derivation of open-loop Nash equilibria

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