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Matematicheskaya Teoriya Igr i Ee Prilozheniya, 2009, Volume 1, Issue 4, Pages 41–62
(Mi mgta22)
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This article is cited in 2 scientific papers (total in 2 papers)
Parallel pursuit strategies in a simple motion game on the sphere. Geodesic pursuit
Alexander M. Kovshov Saint-Petersburg State University, Saint-Petersburg
Abstract:
The two-person zero-sum differential simple pursuit game on the sphere is considered. The strategy of geodesic pursuit, having some properties of parallel pursuit strategy on the plane, is defined, unique existence for general position is proved. All singular cases are considered. Fastest property of geodesic pursuit strategy is proved.
Keywords:
differential games, simple motion, pursuit on the sphere.
Citation:
Alexander M. Kovshov, “Parallel pursuit strategies in a simple motion game on the sphere. Geodesic pursuit”, Mat. Teor. Igr Pril., 1:4 (2009), 41–62
Linking options:
https://www.mathnet.ru/eng/mgta22 https://www.mathnet.ru/eng/mgta/v1/i4/p41
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