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.
| 科 Family | 属数 Number of genus | 种数 Number of species | 占总种数比例 Percentage of total species (%) | 属 Genus | 种数 Number of species | 占总种数比例 Percentage of total species (%) |
|---|---|---|---|---|---|---|
| 鹅膏菌科Amanitaceae | 2 | 11 | 5.26 | 鹅膏菌属 Amanita | 10 | 4.78 |
| 小菇科 Mycenaceae | 2 | 12 | 5.74 | 丝盖伞属 Inocybe | 5 | 2.39 |
| 多孔菌科 Polyporaceae | 8 | 14 | 6.70 | 蜡蘑属 Laccaria | 5 | 2.39 |
| 红菇科 Russulaceae | 3 | 23 | 11.00 | 小皮伞属 Marasmius | 6 | 2.87 |
| 小菇属 Mycena | 11 | 5.26 | ||||
| 光柄菇属 Pluteus | 5 | 2.39 | ||||
| 红菇属 Russula | 17 | 8.13 | ||||
| 栓菌属 Trametes | 5 | 2.39 |