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. - STAMPA. - 62:(2015), pp. 134-138. [10.1016/j.automatica.2015.09.036]
Hamiltonian potential functions for differential games
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.File | Dimensione | Formato | |
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