The article introduces a new method for optimizing the shape of aerodynamic objects, like hypersonic air-breathing vehicles. By using a two-level game called the Stackelberg game, where one player makes a decision and the other player responds, the researchers found that the final solutions depend on the information exchanged between the players. The method involves using evolutionary algorithms and adjoint methods to find the best shape for the aerodynamic object. The results show that the solutions reached through this method are the same as those found through traditional optimization methods.