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Introduction and Motivation
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admits a unique affine-quadratic Basar behavioural strategies bimatrix consider continuously differentiable Corollary corresponding cost function decision decision problems defined definition denote differential equation differential game discrete-time equilibrium strategies equivalent example exists extensive form feedback game feedback saddle-point feedback Stackelberg solution feedback strategies finite game game admits game in extensive game theory given Hence inequalities infinite dynamic games information set information structure leader level of play linear linear-quadratic matrix game minimising mixed strategies multi-act games N-tuple Nash equilibrium solution Nash solution nodes noncooperative nonunique nonzero-sum games normal form obtained open-loop optimal control problem outcome pair players Proof Prop pure strategies pursuit-evasion quadratic recursive result saddle saddle-point solution saddle-point strategies satisfied scalar Section security strategy single-act game solution concept Stackelberg strategy stochastic game strategy for PI strategy spaces subsection theorem trajectory TV-person TV-tuple two-person zero-sum vector viscosity solution zero-sum game