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Publishing Language: Chinese

A multi-aircraft cooperative air combat decision-making algorithm based on an adaptive weighted priority virtual self-play theory approach

Yaoming ZHOU1( ), Tao HAN1, Yufei JIANG1, Zheng YANG2, Yifeng TIAN2
School of Aeronautic Science and Engineering,Beihang University,Beijing 100191,China
The 29th Research Institute,China Electronics Technology Group Corporation,Chengdu 610036,China
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Abstract

This study suggests an approach that combines prioritized fictitious self-play (PFSP) with an adaptive winning-game weighting mechanism to address the delayed convergence and policy oscillation in self-play training for multi-aircraft cooperative beyond-visual-range (BVR) air combat. Firstly, a 4v4 BVR air combat simulation environment is established under a multi-agent reinforcement learning framework. Second, in order to break the policy cycle, the Elo method is developed to conduct non-uniform sampling of past opponents and dynamically assess policy capabilities. Meanwhile, a win-rate-based loss function weighting mechanism is designed to guide gradient updates when early high-value samples are scarce. According to experiments, the suggested approach greatly lessens later-stage oscillation and converges to the Nash equilibrium by the 200th episode, increasing convergence efficiency by 55% over conventional FSP. The weighting mechanism’s accelerating impact is further supported by ablation investigations. Lastly, agents educated using PFSP have strong air combat decision-making ability, winning 70.3% of the time against skilled opponents.

CLC number: V279 Document code: A Article ID: 1001-5965(2026)10-3580-12

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Journal of Beijing University of Aeronautics and Astronautics
Pages 3580-3591

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Cite this article:
ZHOU Y, HAN T, JIANG Y, et al. A multi-aircraft cooperative air combat decision-making algorithm based on an adaptive weighted priority virtual self-play theory approach. Journal of Beijing University of Aeronautics and Astronautics, 2026, 52(10): 3580-3591. https://doi.org/10.13700/j.bh.1001-5965.2026.0377

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Received: 09 June 2026
Accepted: 17 July 2026
Published: 06 August 2026
© Journal of Beijing University of Aeronautics and Astronautics