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Game of quality for two groups of objects

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We consider the problem of survival of a group of objects in conflict with another group of objects. This is a multistep game of quality with several terminal surfaces. For certain relationships between the game parameters, we construct the optimality sets of the objects and find their optimal strategies.

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Literature Cited

  1. 1.

    A. A. Chikrii, “Quasilinear many-person pursuit problem,” Prikl. Mat. Mekh., No. 3, 451–455 (1979).

  2. 2.

    A. A. Chikrii and S. F. Kalashnikova, “Pursuit of a group of evaders by a controlled object,” Kibernetika, No. 4, 1–8 (1987).

  3. 3.

    L. A. Petrosyan and V. D. Shiryaev, “Group pursuit of several evaders by one pursuer,” Vestn. Leningr. Gos. Univ., No. 13, 50–57 (1980).

  4. 4.

    R. Isaacs, Differential Games, Wiley, New York (1965).

  5. 5.

    N. N. Krasovskii and A. I. Subbotin, Positional Differential Games [in Russian], Nauka, Moscow (1974).

  6. 6.

    V. P. Malyukov, “Game of quality of two economic systems,” Kibernetika, No. 6, 120–122 (1987).

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Translated from Kibernetika, No. 5, pp. 59–66, September–October, 1990.

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Malyukov, V.P. Game of quality for two groups of objects. Cybern Syst Anal 26, 698–710 (1990). https://doi.org/10.1007/BF01068551

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  • Operating System
  • Artificial Intelligence
  • System Theory
  • Optimal Strategy
  • Game Parameter