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.
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⟩