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通过对飞机除冰运行问题的分析研究,以合作博弈的思想为理论基础,建立了在允许合作选择对策并且进行支付转移规则下的航空公司博弈模型,通过对模型核心与特征函数的分析,基于Shapley向量的博弈核心求解方法得以提出。仿真结果表明,该合作博弈模型有效激励了航空公司间的合作行为,基于Shapley向量核心解法兼顾了联盟的集体理性与个体理性,对比显示,其分配方案合理、较优。
Based on the analysis and research of aircraft deicing operation problem and based on the idea of cooperative game theory, the game model of airline company under cooperation rules and payment transfer rules is established. By analyzing the model kernel and eigenfunctions, Shapley vector game core solution method was proposed. The simulation results show that the cooperative game model effectively stimulates the cooperative behavior among airlines. Based on the Shapley vector core solution, the collective rationality and individual rationality of the alliance are considered, and the comparison shows that the allocation scheme is reasonable and superior.