On Lie point symmetries in differential games

Palestini, Arsen (2010) On Lie point symmetries in differential games. Bologna: Dipartimento di Scienze economiche DSE, p. 13. DOI 10.6092/unibo/amsacta/4543. In: Quaderni - Working Paper DSE (698). ISSN 2282-6483.

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Abstract

A technique to determine closed-loop Nash equilibria of n-player differential games is developed when their dynamic state-control system is composed of decoupled ODEs. In particular, the theory of Lie point symmetries is exploited to achieve first integrals of such systems.

Abstract

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