Differential Game with Slow Pursuers on the Edge Graph of a Simplex

Azamov Abdulla; Ibaydullaev Tolanbay; Ibragimov Gafurjan

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Differential Game with Slow Pursuers on the Edge Graph of a Simplex

机译：Differential Game with Slow Pursuers on the Edge Graph of a Simplex

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In this paper, a differential game of kind of several pursuers and one evader is studied. All the players move only along the edges of a simplex of dimension d. The maximal speed of each pursuer is less than that of the evader. If the state of a pursuer coincides with the state of the evader, then pursuit is completed. An exact mathematical formulation of the problem is given by introducing special classes of strategies adapted for games on graphs. Sufficient conditions for completion of pursuit and possibility of evasion are obtained. In the case where the simplex is regular we obtained a condition. If this condition is satisfied, then pursuit can be completed, else evasion is possible.

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来源
《International game theory review》 |2021年第4期|2250006.1-2250006.16|共16页
作者
Azamov Abdulla; Ibaydullaev Tolanbay; Ibragimov Gafurjan;
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作者单位

Inst Math Named, Tashkent, Uzbekistan;

Andijan State Univ, Dept Math, Andijan, Uzbekistan;

Univ Putra, Dept Math, Serdang, Malaysia|Univ Putra, Inst Math Res, Serdang, Malaysia;

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正文语种英语
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关键词
Graph of polyhedron; regular simplex; differential game; pursuit game; evasion game; game in normal form; P-strategy;

Differential Game with Slow Pursuers on the Edge Graph of a Simplex

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