Geodesic
Parallel pursuit strategies in a simple motion game on the sphere. Geodesic pursuit
Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 1 (2009) no. 4, pp. 41-62.

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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, pursuit on the sphere.
Mots-clés : simple motion 
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     title = {Parallel pursuit strategies in a simple motion game on the sphere. {Geodesic} pursuit},
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Alexander M. Kovshov. Parallel pursuit strategies in a simple motion game on the sphere. Geodesic pursuit. Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 1 (2009) no. 4, pp. 41-62. http://geodesic.mathdoc.fr/item/MGTA_2009_1_4_a2/

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