AGROCAMPUS OUEST (Institut Supérieur des Sciences Agronomiques, Agroalimentaires, Horticoles et du Paysage - 65, rue de St Brieuc - CS 84215 - 35042 Rennes cedex - France)
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.
https://hal-agrocampus-ouest.archives-ouvertes.fr/hal-00729920
Contributor : Céline Martel
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Submitted on : Friday, September 7, 2012 - 4:03:51 PM
Last modification on : Wednesday, May 16, 2018 - 11:23:28 AM
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⟩
