Pursuit Differential Game with Slow Pursuers on the 1-Skeleton Graph of the Icosahedron

Gafurjan Ibragimov, Azamat Holboyev, Tolanbay Ibaydullaev and Bruno Antonio Pansera
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Gafurjan Ibragimov: Department of Mathematics, Institute for Mathematical Research, Universiti Putra Malaysia, Serdang 43400, Selangor, Malaysia
Azamat Holboyev: Institute of Mathematics, Tashkent 100174, Uzbekistan
Tolanbay Ibaydullaev: Department of Mathematics, Andijan State University, Andijan 170100, Uzbekistan
Bruno Antonio Pansera: Department of Law, Economics and Human Sciences & Decisions Lab, University Mediterranea of Reggio Calabria, 89124 Reggio Calabria, Italy

Mathematics, 2022, vol. 10, issue 9, 1-12

Abstract: A differential game of m , 3 ≤ m ≤ 6 , pursuers and one evader is studied on an icosahedron in R 3 . All the players move only along the 1-skeleton graph of the icosahedron when the maximal speeds of the pursuers are less than the speed of the evader. Pursuit is said to be completed if the state of a pursuer coincides with the state of evader at some time. We give a sufficient condition of the completion of pursuit in the game.

Keywords: graph of polyhedron; differential game; pursuer; evader; strategy (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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