Efficiency of aircraft autonomous conflict resolution based on evolutionary games

To solve the problem of autonomous path planning for aircraft, this article proposes a game coordination method for aircraft autonomous conflict resolution, and discusses the game efficiency of this method under various game strategy settings for aircraft. First, based on evolutionary Game theory, a game model of aircraft conflict resolution is constructed. By calculating the replication dynamic equation between adjacent game rounds, the aircraft iterative evolution of its game selection preference is promoted, and the game system is accelerated to reach Partial equilibrium; Construct a Jacobian matrix and determinant to analyze the stability of each Partial equilibrium solution in the game, and prove that there is one and only one Partial equilibrium solution in the game system is stable, and all aircraft participating in the game will tend to this equilibrium solution; Conduct simulation experiments using ZSSSAR01 sector airspace data, set multiple aircraft game strategies, and analyze the game time required for each strategy to reach an equilibrium state. The simulation results show that rational gamers have high game efficiency and can reach equilibrium on average within 5.31 rounds of the game; Radical and conservative gamers will accelerate and slow down the equilibrium process of the game, respectively; Non cooperative gamers will significantly slow down the game equilibrium process, requiring an average of 110.53 rounds of gaming. The operating cost compensation strategy based on non-cooperative gamers will accelerate this process (with an average of 86.87 rounds).