There's actually a pretty fascinating branch of game theory devoted to these kinds of problems. Differential game theory poses these situations as optimal cont

There's actually a pretty fascinating branch of game theory devoted to these kinds of problems. Differential game theory poses these situations as optimal control problems, with evaders and pursuers each having a separate control and opposite objective functions. http://en.wikipedia.org/wiki/Differential_game http://en.wikipedia.org/wiki/Differential_game