Dragone, Davide ; Lambertini, Luca ; Leitmann, George ; Palestini, Arsen
(2008)
Hamiltonian potential functions for differential games.
Bologna:
Dipartimento di Scienze economiche DSE,
p. 19.
DOI 10.6092/unibo/amsacta/4603.
In: Quaderni - Working Paper DSE
(644).
ISSN 2282-6483.
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Abstract
We introduce the concept of Hamiltonian potential function for noncooperative open-loop differential games with n players, n controls and n states, and characterise a sufficient condition for its existence. We also identify a class of games admitting a Hamiltonian potential and provide appropriate examples pertaining to advertising, industrial organization and macroeconomic policy.
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