Coordinate transformations and derivation of open-loop Nash equilibria

DOI10.1023/A:1017511827387zbMath0989.91013OpenAlexW87561025MaRDI QIDQ5947260

Engelbert J. Dockner, George Leitmann

Publication date: 7 August 2002

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

Full work available at URL: https://doi.org/10.1023/a:1017511827387

zbMATH Keywords

existencefinite-time horizon differential gamesopen-loop Nash equilibria

Mathematics Subject Classification ID

Differential games (aspects of game theory) (91A23)

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Periodic solutions for a class of second-order ordinary differential equations ⋮ TWO DIRECT METHODS FOR OBTAINING SOLUTIONS TO VARIATIONAL PROBLEMS ⋮ Dynamic advertising under vertical product differentiation ⋮ G. Leitmann's integral transformation for global optimal control ⋮ Dynamically consistent collaborative environmental management with production technique choices ⋮ Non-causal models in long term planning via set contractive optimal control methods ⋮ An extension of the coordinate transformation method for open-loop Nash equilibria ⋮ Fields of Extremals and Sufficient Conditions for a Class of Open-Loop Variational Games ⋮ Some extensions to a direct optimization method ⋮ 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 ⋮ An observation on two methods of obtaining solutions to variational problems

Cites Work

• The calculus of variations and optimal control. An introduction
• A note on absolute extrema of certain integrals
• On a class of direct optimization problems
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