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.
Dragone, D., Lambertini, L., Leitmann, G., Palestini, A. (2015). Hamiltonian potential functions for differential games. AUTOMATICA, 62, 135-138 [10.1016/j.automatica.2015.09.036].
Hamiltonian potential functions for differential games
DRAGONE, DAVIDE;LAMBERTINI, LUCA;PALESTINI, ARSEN
2015
Abstract
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
