Hamiltonian potential functions for differential games
نویسندگان
چکیده
We introduce the concept of Hamiltonian potential function for noncooperative open-loop differential games and characterise necessary and sufficient conditions for its existence. We also identify a class of games admitting a Hamiltonian potential and illustrate appropriate examples pertaining to oligopoly games where price or quantity competition goes along with noncooperative investments either in advertising or in R&D, so as to provide a plausible intuitive interpretation of the meaning of the Hamiltonian potential.
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عنوان ژورنال:
- Automatica
دوره 62 شماره
صفحات -
تاریخ انتشار 2015