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The homicidal chauffeur game—a Stochastic Model

✍ Scribed by M. Pachter; Y. Yavin

Publisher
John Wiley and Sons
Year
2007
Tongue
English
Weight
922 KB
Volume
2
Category
Article
ISSN
0143-2087

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

We consider a certain stochastic pursuit—evasion problem of the homicidal chauffeur type. Specifically, weshow that, in contrast to the less straightforward swerve manoeuvre employed in the deterministic model, the particularly simple bang‐bang pursuit strategy synthesized here is applicable to a significant range of problem parameters. The strategy of the slower but agile player is also characterized, and its geometric meaning isillustrated.

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