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BLAQUIERE A Paris
CASE J Baltimore
ELLIOTT Robert J Hull
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admissible control function annual plant assume Assumption barrier boundary conditions Brownian motion choose consider constant constraints continuous control problem cost deadline game defined Definition denote differential equation Differential Games discontinuity point dynamical system equilibrium strategies example exists feedback strategies Figure follows given Hamilton-Jacobi equations heat equation Hence integral interval Isaacs Leitmann linear manifold manoeuvres martingale maximize micro collision avoidance minimize monoculture N-tuple Nash equilibrium necessary conditions nutrient observation obtained optimal control optimal strategies optimal trajectories Optimization Theory partial differential partial differential equations path payoff play playable player positive pursuit-evasion region respect Rn x r1 saddle point satisfied ship singular solution singular surfaces situation solution space species stochastic strategy pair subset suppose tangent target terminal Theorem 2.1 variable vector xe(t yields zero