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
Document type
Monograph (Working Paper)
Creators
CreatorsAffiliationORCID
Palestini, Arsen
Keywords
Differential Game, Closed-Loop Nash Equilibrium, Lie Point Symmetry, Infinitesimal Generator, First Integral
Subjects
ISSN
2282-6483
DOI
Deposit date
04 Feb 2016 11:45
Last modified
04 Feb 2016 11:45
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