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A time advantage function-based solution to two-player circular target defense games.

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Title: A time advantage function-based solution to two-player circular target defense games.
Authors: Wang, Keyang1 (AUTHOR) wangkeyang@mail.nwpu.edu.cn, Chang, Peng2 (AUTHOR) upc_auto@163.com, Sun, Qi1 (AUTHOR) sunqi@nwpu.edu.cn, Wang, Yintao1 (AUTHOR) wangyintao@nwpu.edu.cn
Source: Systems & Control Letters. Oct2025, Vol. 204, pN.PAG-N.PAG. 1p.
Subjects: Game theory, Strategy games, Computer simulation, Games
Abstract: This paper investigates a two-player circular target defense game where a defender, constrained to the target boundary, protects the target region from an intruder. The study incorporates limited observation capabilities for both agents, deriving conditions under which the defender can intercept the intruder or the intruder can breach the target. This work formulates the problem as a Game of Kind, introducing a time advantage function that quantifies the game outcome: when the function is non-negative, the intruder dominates the game, selecting an invasion point on the target boundary that maximizes the time advantage (maximizing terminal separation from the defender) to ensure successful penetration; when the function is negative, the defender strategically deviates from the target boundary and utilizes the boundary of dominance region (defined by intersections of the agent isochrones) to derive optimal interception trajectories. Numerical simulations validate the proposed method, demonstrating how the time advantage function enables clear winner determination and strategy derivation, bridging theoretical game theory with practical sensing constraints. [Display omitted] • Introduce a time advantage function to analyze game winning conditions. • Construct the dominance region boundary considering target influence. • Analyze winning conditions and strategies under perception constraints. [ABSTRACT FROM AUTHOR]
Copyright of Systems & Control Letters is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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DbLabel: Engineering Source
An: 187868026
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  Data: A time advantage function-based solution to two-player circular target defense games.
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  Data: <searchLink fieldCode="AR" term="%22Wang%2C+Keyang%22">Wang, Keyang</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> wangkeyang@mail.nwpu.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Chang%2C+Peng%22">Chang, Peng</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> upc_auto@163.com</i><br /><searchLink fieldCode="AR" term="%22Sun%2C+Qi%22">Sun, Qi</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> sunqi@nwpu.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Wang%2C+Yintao%22">Wang, Yintao</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> wangyintao@nwpu.edu.cn</i>
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  Data: <searchLink fieldCode="JN" term="%22Systems+%26+Control+Letters%22">Systems & Control Letters</searchLink>. Oct2025, Vol. 204, pN.PAG-N.PAG. 1p.
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– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: This paper investigates a two-player circular target defense game where a defender, constrained to the target boundary, protects the target region from an intruder. The study incorporates limited observation capabilities for both agents, deriving conditions under which the defender can intercept the intruder or the intruder can breach the target. This work formulates the problem as a Game of Kind, introducing a time advantage function that quantifies the game outcome: when the function is non-negative, the intruder dominates the game, selecting an invasion point on the target boundary that maximizes the time advantage (maximizing terminal separation from the defender) to ensure successful penetration; when the function is negative, the defender strategically deviates from the target boundary and utilizes the boundary of dominance region (defined by intersections of the agent isochrones) to derive optimal interception trajectories. Numerical simulations validate the proposed method, demonstrating how the time advantage function enables clear winner determination and strategy derivation, bridging theoretical game theory with practical sensing constraints. [Display omitted] • Introduce a time advantage function to analyze game winning conditions. • Construct the dominance region boundary considering target influence. • Analyze winning conditions and strategies under perception constraints. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Systems & Control Letters is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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      – Type: doi
        Value: 10.1016/j.sysconle.2025.106197
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      – Code: eng
        Text: English
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        PageCount: 1
        StartPage: N.PAG
    Subjects:
      – SubjectFull: Game theory
        Type: general
      – SubjectFull: Strategy games
        Type: general
      – SubjectFull: Computer simulation
        Type: general
      – SubjectFull: Games
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      – TitleFull: A time advantage function-based solution to two-player circular target defense games.
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            NameFull: Wang, Keyang
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            NameFull: Chang, Peng
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            NameFull: Sun, Qi
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            NameFull: Wang, Yintao
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            – D: 01
              M: 10
              Text: Oct2025
              Type: published
              Y: 2025
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              Value: 204
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            – TitleFull: Systems & Control Letters
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