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**On some sufficient conditions for optimality of the pursuit time in the differential game with multiple pursuers.**
*(English.
Russian original)*
Zbl 1125.91310

Autom. Remote Control 67, No. 4, 529-537 (2006); translation from Avtom. Telemekh. 2006, No. 4, 16-24 (2006).

Summary: Consideration was given to the problem of optimal pursuit of one object by multiple objects. The player’s moves obey the ordinary differential equations. Geometrical constraints are imposed on the player controls. Sufficient conditions were obtained for optimality of the pursuit time, and the optimal player strategies were constructed.

### MSC:

91A23 | Differential games (aspects of game theory) |

91A24 | Positional games (pursuit and evasion, etc.) |

49N70 | Differential games and control |

91A06 | \(n\)-person games, \(n>2\) |

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\textit{G. I. Ibragimov} and \textit{B. B. Rikhsiev}, Autom. Remote Control 67, No. 4, 529--537 (2006; Zbl 1125.91310); translation from Avtom. Telemekh. 2006, No. 4, 16--24 (2006)

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### References:

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[8] | Pashkov, A.G. and Teorekhov, S.D., On a Game of Optimal Pursuit of One Object by Two Objects, Prikl. Mat. Mekh., 1983, vol. 47, no. 6, pp. 898–903. |

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[10] | Ibragimov, G.I., One Game of Optimal Pursuit of One Object by Two Objects, Prikl. Mat. Mekh., 1998, vol. 62, no. 2, pp. 199–205. · Zbl 0973.91009 |

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