Differential games: a mathematical theory with applications to warfare and pursuit, control and optimization
Definitive work draws on game theory, calculus of variations, and control theory to solve an array of problems: military, pursuit and evasion, athletic contests, many more. Detailed examples, formal calculations. 1965 edition.
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Definitions Formulation and Assumptions
Discrete Differential Games
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analysis appear barrier calculus of variations capture region capture zone Chapter choice circle constant constraint construct control variables coordinates course curvature curve deadline game differential equations differential games direction discrete dispersal surface equivocal surface Euler equation Example fire formal function game of kind game theory homicidal chauffeur game initial conditions instance integral involute kinematic equations latter lemma linear vectograms mathematical maximize minimax minimizing mixed strategy move obtain one-player game optimal paths optimal play optimal strategies penetration plane player position possible pursuer pursuit game radius realistic space reduced space Research Problem result Section semipermeable surface side similarly simple motion singular surfaces solution solved speed starting points straight suppose tangent target terminal payoff theorem transition surface traversing tributary paths universal surface upper half-plane useable values vector velocity vertical weapons xn+x zero