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.
Hamiltonian potential functions for differential games / Dragone, Davide; Lambertini, Luca; Leitmann, George; Palestini, Arsen. - In: AUTOMATICA. - ISSN 0005-1098. - ELETTRONICO. - 62:(2015), pp. 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.
