
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.
ddc:330, potential function, differential games, Differential games and control, Noncooperative games, SECS-P/01 Economia politica, optimal control, Quaderni - Working Paper DSE, Differential games; Potential functions; Optimal control, differential games; potential games; open-loop equilibrium
ddc:330, potential function, differential games, Differential games and control, Noncooperative games, SECS-P/01 Economia politica, optimal control, Quaderni - Working Paper DSE, Differential games; Potential functions; Optimal control, differential games; potential games; open-loop equilibrium
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