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EnglishWe 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.
| Titolo: | Hamiltonian potential functions for differential games |
| Autore/i: | DRAGONE, DAVIDE; LAMBERTINI, LUCA; Leitmann, George; Palestini, Arsen |
| Autore/i Unibo: | |
| Anno: | 2015 |
| Rivista: | |
| Digital Object Identifier (DOI): | http://dx.doi.org/10.1016/j.automatica.2015.09.036 |
| 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. |
| Data stato definitivo: | 2016-07-12T17:55:55Z |
| Appare nelle tipologie: | 1.01 Articolo in rivista |
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