Sufficiency and game structure in Nash open-loop differential games
This note deals with the following problem in n-player Nash open-loop differential games: Which conditions on the Hamiltonians will simplify the verification of the sufficient conditions? In the class of games with Hamiltonians linear in the state, and where the state is separated from the control of player i in the Hamiltonian of this player, the first- order and second-order conditions for an extremum of the Hamiltonian of player i also constitute a set of sufficient conditions.
n-player Nash open-loop differential games
scientific article; zbMATH DE number 3912154