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Hamiltonian Potential Functions for Differential Games

Davide Dragone, Luca Lambertini (luca.lambertini@unibo.it), George Leitmann (gleit@berkeley.edu) and Arsen Palestini (arsen.palestini@uniroma1.it)
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George Leitmann: College of Engineering, University of California at Berkeley, United States of America

Working Paper series from Rimini Centre for Economic Analysis

Abstract: We introduce the concept of Hamiltonian potential functions for non-cooperative open-loop differential games and we characterize sufficient conditions for their existence. We also identify a class of games admitting a Hamiltonian potential and illustrate the related properties of their dynamic structure. Possible similarities with the theory of quasi-aggregative games are discussed. As an illustration, we consider an asymmetric oligopoly game with process innovation.

Date: 2015-07
New Economics Papers: this item is included in nep-com, nep-gth and nep-ino
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Citations: View citations in EconPapers (2)

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http://www.rcea.org/RePEc/pdf/wp15-25.pdf (application/pdf)

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Working Paper: Hamiltonian potential functions for differential games (2008) Downloads
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