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.