基于超模博弈的定价与舱位控制联合决策研究

在航空运输市场中，多家航空公司共同经营的航线上，各家航空公司对折扣机 票的定价及订座限制不但会影响自身的收益，而且会对其他航空公司收益造成影响.将竞 争因素考虑在内，主要研究相同航线竞争下航空公司之间的折扣票定价与舱位控制（预 订阈值）联合决策问题.在合理假设的基础上，引入超模博弈理论对相关问题进行深入分 析，证明航空公司之间的竞争一定存在纯策略纳什均衡.分析了均衡结果的一些特点，给 出了存在唯一纳什均衡点的一个充分条件.最后分析了竞争程度改变后对均衡行为的影 响，并通过算例对相关结论进行了验证.

The Joint Decision Making Research of Pricing and Seat Inventory Control Based on Supermodel Game

In routes that many airlines operating in the air transportation market, the discount ticket pricing and reservation restrictions will not only affect their own benefits, but also affect another airlines’revenue. Taking competitive factors into consideration, the joint decision making problems of discount ticket pricing and seat inventory control (reservation threshold) among airlines under the same route competition are studied. On the basis of rational hypothesis, supermodel game theory is introduced to make a deep analysis of related problems. The existence of pure strategy Nash equilibrium among airlines’competition is proved, some characteristics of the equilibrium results are analyzed, and a sufficient existence condition of unique Nash equilibrium is presented. Finally, the effects on equilibrium behavior after the degree of competition changed are analyzed, and relevant conclusions are verified by examples.