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Cops and Robbers, Game Theory and Zermelo's Early Results
We provide a game theoretic framework for the game of cops and robbers (CR).
Within this framework we study certain assumptions which underlie the concepts
of optimal strategies and capture time. We also point out a connection of these
concepts to early work by Zermelo and D. Konig. Finally, we discuss the
relationship between CR and related pursuit games to reachability games