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A stochastic homicidal chauffeur pursuit-evasion differential game

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Abstract

A certain stochastic pursuit-evasion problem of the homicidal chauffeur type is considered. The pursuer strategy synthesized in this paper is fairly simple in contrast to the less straightforward swerve maneuver employed in the deterministic model. The analysis may partially explain why relatively simple pursuit strategies are apparently always adopted in practice.

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Communicated by G. Leitmann

This work was partially supported by a grant from Control Data.

The authors wish to thank Dr. D. H. Martin for a very enlightening discussion.

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Pachter, M., Yavin, Y. A stochastic homicidal chauffeur pursuit-evasion differential game. J Optim Theory Appl 34, 405–424 (1981). https://doi.org/10.1007/BF00934680

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