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A Stochastic Characterization of the Capture Zone in Pursuit-Evasion Games

Author

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  • Simone Battistini

    (Department of Engineering and Mathematics, Sheffield Hallam University, Howard Street, Sheffield S1 1WB, UK)

Abstract

Pursuit-evasion games are used to define guidance strategies for multi-agent planning problems. Although optimal strategies exist for deterministic scenarios, in the case when information about the opponent players is imperfect, it is important to evaluate the effect of uncertainties on the estimated variables. This paper proposes a method to characterize the game space of a pursuit-evasion game under a stochastic perspective. The Mahalanobis distance is used as a metric to determine the levels of confidence in the estimation of the Zero Effort Miss across the capture zone. This information can be used to gain an insight into the guidance strategy. A simulation is carried out to provide numerical results.

Suggested Citation

  • Simone Battistini, 2020. "A Stochastic Characterization of the Capture Zone in Pursuit-Evasion Games," Games, MDPI, vol. 11(4), pages 1-10, November.
    • Handle: RePEc:gam:jgames:v:11:y:2020:i:4:p:54-:d:448002
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    Cited by:

    1. Ellina Grigorieva, 2021. "Optimal Control Theory: Introduction to the Special Issue," Games, MDPI, vol. 12(1), pages 1-4, March.

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