Uncoupling Isaacs equations in two player nonzerosum differential games. Parental conflict over care as an example

Abstract : We consider a two-player nonzero-sum differential game in mixed strategies between twoplayers who have, at each instant of time, two pure strategies to mix between. The search for a Nash equilibrium in state feedback leads to a pair of uncoupled first order PDEs. We give an example in Behavioral Ecology.
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Submitted on : Friday, September 7, 2012 - 4:03:51 PM
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Frédéric Hamelin, P. Bernhard. Uncoupling Isaacs equations in two player nonzerosum differential games. Parental conflict over care as an example. Automatica, Elsevier, 2008, 44, pp.882-885. ⟨10.1016/j.automatica.2007.07.016⟩. ⟨hal-00729920⟩

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