Assessment of Pointwise Capture Time in the Game of Simple Pursuit

摘要

The article considers the question of estimating the time of point-by-point capture of one evader in a game of pursuit by one pursuer, when the players make a simple move and the pursuer uses the parallel pursuit strategy (P-strategy). The need to estimate the time of catching the evader arises in games of pursuit, when the pursuer seeks to minimize the time of the capture, and the evader to maximize it.