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Uncoupling Isaacs’equations in nonzero-sum two-player differential games: The example of conflict over parental care

Abstract : We use a recently uncovered decoupling of Isaacs PDE’s of some mixed closed loop Nash equilibria to give a rather complete analysis of the classical problem of conflict over parental care in behavioural ecology, for a more general set up than had been considered heretofore.
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Frédéric Hamelin, Pierre Bernhard. Uncoupling Isaacs’equations in nonzero-sum two-player differential games: The example of conflict over parental care. Revue Africaine de la Recherche en Informatique et Mathématiques Appliquées, INRIA, 2008, Volume 9, 2007 Conference in Honor of Claude Lobry, 2008, pp.157-170. ⟨10.46298/arima.1896⟩. ⟨hal-01277836⟩

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