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New method to characterize subgame-perfect Nash equilibria in differential games

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1998
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Springer
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Abstract
In this paper, we present a method for computing Nash equilibria in feedback strategies. This method gives necessary and sufficient conditions to characterize subgame perfect equilibria by means of a system of quasilinear partial differential equations. This characterization allows one to know explicitly the solution of the game in some cases. In other cases, this approach makes a qualitative study easier. We apply this method to nonrenewable resource games.
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The original publication is available at www.springerlink.com
Keywords
Differential games, subgame perfect Nash equilibria quasilinear partial differential equations, characteristic systems
Bibliographic citation
Journal of Optimization Theory and Applications. Feb. 1998, vol. 96, nº 2, p. 377-395