Abstract
We consider feedback Nash equilibria and feedback Pareto optimal solutions of some simple two player, both finite and infinite horizon differential games. For these games the conditions for the feasible set, consisting of those Pareto solutions which dominate the feedback Nash equilibrium, and the conditions for Nash and Kalai-Smorodinsky bargaining solutions do not depend on the initial state of the game. These conditions consist of algebraic equations for the Pareto weights in question. It is shown that the equations have unique solutions. Numerical examples illustrating the properties of the solutions are given.
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