Hamiltonian potential functions for differential games

• Davide Dragone ^[1] ; Luca Lambertini ^[1] ; George Leitmann ^[2] ; Arsen Palestini ^[3]
  1. [1] University of Bologna

     University of Bologna

     Bolonia, Italia

     
  2. [2] University of California at Berkeley;USA
  3. [3] Sapienza University of Rome;Italy

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• Localización: Automatica: A journal of IFAC the International Federation of Automatic Control, ISSN 0005-1098, Vol. 62, 2015, págs. 134-138
• Idioma: inglés
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• Resumen

  • We introduce the concept of Hamiltonian potential functions for noncooperative open-loop differential games and we characterise sufficient conditions for their existence. We identify a class of games admitting a Hamiltonian potential and illustrate the related properties of their dynamic structure. Then, we offer a preliminary exploration of the construction of potential functions for feedback games. As an illustration, we consider an asymmetric oligopoly game with process innovation.