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

Frédéric Hamelin; P. Bernhard

doi:10.1016/j.automatica.2007.07.016

Journal articles

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

Frédéric Hamelin ¹ P. Bernhard

1 BIO3P - Biologie des organismes et des populations appliquées à la protection des plantes

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.

Keywords : Differential games Mixed strategies Nash equilibrium Behavioral Ecology

Document type :

Journal articles

Domain :

Environmental Sciences / Biodiversity and Ecology

Complete list of metadatas

https://hal-agrocampus-ouest.archives-ouvertes.fr/hal-00729920
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Submitted on : Friday, September 7, 2012 - 4:03:51 PM
Last modification on : Monday, July 6, 2020 - 3:38:16 PM

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

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

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