Tamer Başar
Abstract
Via a 2-stage linear-quadratic 2-person nonzero-sum game, we show that such decision problems might admit nonlinear Nash solutions. As compared with the linear strategy, a nonlinear Nash policy might lead to a better performance for at least one of the players.
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Via a 2-stage linear-quadratic 2-person nonzero-sum game, we show that such decision problems might admit nonlinear Nash solutions. As compared with the linear strategy, a nonlinear Nash policy might lead to a better performance for at least one of the players.
Key concepts: Counterexample, Nash equilibrium, Nonlinear system, Mathematics, Quadratic equation, Game theory, Mathematical optimization, Mathematical economics