Hamiltonian Potential Functions for Differential Games

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 struc...

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Bibliographic Details
Published inIDEAS Working Paper Series from RePEc
Main Authors Dragone, Davide, Lambertini, Luca, Leitmann, George, Palestini, Arsen
Format Paper
LanguageEnglish
Published St. Louis Federal Reserve Bank of St. Louis 01.01.2015
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Summary: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.