Abstract
We provide a game theoretic framework for the game of cops and robbers. Within this framework we study certain assumptions which underlie the concepts of optimal strategies and capture time. We show rigorously that these assumptions are justified. Our results are based on the theory developed by C. Alos-Ferrer and K. Ritzberger on the existence of subgame perfect equilibria in extensive form games which are infinite and / or have infinite horizon.
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