Collision Avoidance Strategies for a Three-Player Game

摘要: Collision avoidance strategies for a game with three players, two pursuers and one evader, are constructed by determining the semipermeable curves that form barrier. The vehicles assumed to have same capabilities, speed, turn-rates. is be played on two-dimensional plane. We consider particular of defined in following way: act noncooperatively, evader upon realizing (or both) can cause capture, takes an evasive action. find states from which pursuer capture this action evader. envelope lead denoted barrier set. Capture occurred when reached within circle radius, l, usable part its boundary first determined along strategy boundary. Semipermeable evolved If intersect (they common point), not extended beyond intersection point. As cars, universal characteristics terminate emanate curve used fill voids surface. For (and associated strategies) considered paper, numerical simulations suggest enlarged set initial closed. here subset more complete game, try single most likely belong game.