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An approach to the theory of pursuit and evasion with perfect information, based only on general topological and set theoretical notions. The paper describes some problems of pursuit and evasion, various strategies of the pursuer and the evader, the major and minor functions of such games, a criterion for determinateness, and generalizations of the theory.

This report is part of the RAND Corporation paper series. The paper was a product of the RAND Corporation from 1948 to 2003 that captured speeches, memorials, and derivative research, usually prepared on authors' own time and meant to be the scholarly or scientific contribution of individual authors to their professional fields. Papers were less formal than reports and did not require rigorous peer review.

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