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Differential game of optimal pursuit of one evader by many pursuers

Author

Listed:
  • Mehdi Salimi

    (Technische Universität Dresden)

  • Massimiliano Ferrara

    (University Mediterranea of Reggio Calabria
    Bocconi University)

Abstract

In this paper, we study a differential game in which a finite or countable number of pursuers pursue a single evader. The control functions of players satisfy integral constraints. The period of the game, which is denoted as $$\zeta $$ ζ , is determined. The farness between the evader and the closest pursuer when the game is finished is the payoff function of the game. In the paper, we introduce the value of the game and identify optimal strategies of the pursuers. A significant facet of this work is that there is no relation between the energy resource of any pursuer and that of the evader for completing pursuit.

Suggested Citation

  • Mehdi Salimi & Massimiliano Ferrara, 2019. "Differential game of optimal pursuit of one evader by many pursuers," International Journal of Game Theory, Springer;Game Theory Society, vol. 48(2), pages 481-490, June.
    • Handle: RePEc:spr:jogath:v:48:y:2019:i:2:d:10.1007_s00182-018-0638-6
    DOI: 10.1007/s00182-018-0638-6
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    References listed on IDEAS

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    1. Ibragimov, Gafurjan I. & Salimi, Mehdi & Amini, Massoud, 2012. "Evasion from many pursuers in simple motion differential game with integral constraints," European Journal of Operational Research, Elsevier, vol. 218(2), pages 505-511.
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    Cited by:

    1. Gafurjan Ibragimov & Xolmurodjon Qushaqov & Akbarjon Muxammadjonov & Bruno Antonio Pansera, 2023. "Guaranteed Pursuit and Evasion Times in a Differential Game for an Infinite System in Hilbert Space l 2," Mathematics, MDPI, vol. 11(12), pages 1-11, June.
    2. Jewaidu Rilwan & Pasquale Fotia & Massimiliano Ferrara, 2023. "On game value of a differential game problem with Grönwall-type constraints on players control functions," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 46(1), pages 319-333, June.
    3. Muminjon Tukhtasinov & Gafurjan Ibragimov & Sarvinoz Kuchkarova & Risman Mat Hasim, 2021. "Differential Games for an Infinite 2-Systems of Differential Equations," Mathematics, MDPI, vol. 9(13), pages 1-9, June.

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