A differential game of approach with two pursuers and one evader.

*(English)*Zbl 0616.90110A differential game of approach with one evader and two pursuers with a nonconvex payoff function is considered. The duration of the game is fixed. The payoff functional is the distance between the object being pursued and the pursuer closest to it when the game terminates. An explicit form of the game value is found for all possible game positions.

##### MSC:

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

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

91A99 | Game theory |

##### Keywords:

one evader; two pursuers; nonconvex payoff function; programmed maximin function; fundamental equation; singular surfaces
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\textit{A. G. Pashkov} and \textit{S. D. Terekhov}, J. Optim. Theory Appl. 55, No. 1--2, 303--311 (1987; Zbl 0616.90110)

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##### References:

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