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 structure. Possible similarities with the theory of quasi-aggregative games are discussed. As an illustration, we consider an asymmetric oligopoly game with process innovation.
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