Geodesic
Differential Game Model with Two Pursuers and One Evader
Contributions to game theory and management, Tome 5 (2012), pp. 83-96

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An antagonistic differential game is considered where motion occurs in a straight line. Deviations between the first and second pursuers and the evader are computed at the instants $T_1$ and $T_2$, respectively. The pursuers act in coordination. Their aim is to minimize the resultant miss, which is equal to the minimum of the deviations happened at the instants $T_1$ and $T_2$. Numerical study of value function level sets (Lebesgue sets) for qualitatively different cases is given.
Keywords: pursuit-evasion differential game, linear dynamics, value function. 
@article{CGTM_2012_5_a8,
     author = {Sergey A. Ganebny and Sergey S. Kumkov and St\'ephane Le M\'enec and Valerii S. Patsko},
     title = {Differential {Game} {Model} with {Two} {Pursuers} and {One} {Evader}},
     journal = {Contributions to game theory and management},
     pages = {83--96},
     publisher = {mathdoc},
     volume = {5},
     year = {2012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CGTM_2012_5_a8/}
}
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Sergey A. Ganebny; Sergey S. Kumkov; Stéphane Le Ménec; Valerii S. Patsko. Differential Game Model with Two Pursuers and One Evader. Contributions to game theory and management, Tome 5 (2012), pp. 83-96. http://geodesic.mathdoc.fr/item/CGTM_2012_5_a8/