Frédéric Hamelin ; Pierre Bernhard - Uncoupling Isaacs’equations in nonzero-sum two-player differential games

arima:1896 - Revue Africaine de Recherche en Informatique et Mathématiques Appliquées, October 9, 2008, Volume 9, 2007 Conference in Honor of Claude Lobry, 2008 - https://doi.org/10.46298/arima.1896
Uncoupling Isaacs’equations in nonzero-sum two-player differential gamesArticle

Authors: Frédéric Hamelin 1; Pierre Bernhard 2,3

  • 1 Unité mixte de recherche biologie des organismes et des populations appliquée à la protection des plantes
  • 2 Models for the performance analysis and the control of networks
  • 3 Laboratoire d'Informatique, Signaux, et Systèmes de Sophia Antipolis

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.


Volume: Volume 9, 2007 Conference in Honor of Claude Lobry, 2008
Published on: October 9, 2008
Submitted on: March 27, 2008
Keywords: mixed strategies,Behavioural ecology, differential games,Écologie comportementale,jeux différentiels,strategies mixtes,[INFO] Computer Science [cs],[MATH] Mathematics [math]

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