摘要
以提供不同区位客户配送服务的物流公司为对象,对非合作竞争关系下的商品定价策略进行了研究,并归结于纳什平衡问题。通过建立相关数学模型,进而转化为变分不等式和非线性互补问题,最终采用LEMKE连续线性化方法求解,并通过一个数学示例来展示方法的应用。结果显示,LEMKE方法的回归具有较高效率的收敛性和精确性,且结论表明物流公司的区位对其定价和最大利益有着重要影响:对于地理位置优势的公司,可通过降低价格获得更高的商品需求量和最大利益;而处于地理位置劣势的公司,则需通过提高定价补偿运输成本从而获得最大利益,符合经济学的相关理论。
This paper studies a non-cooperative competition game in pricing strategies among several service companies which supply products to different locations of customers, resulting in a nash equilibrium problem. According to reformulating it as a variety inequality and transforming the variety inequality problem into a nonlinear complementarity problem, the nash equilibrium problem can be solved by using the successive linearization with LEMKE’s method. Based on it, a numeric example of the well-known sioux-falls network is given and calculated as an application. Results show that the LEMKE’s method by iterations has a high efficiency of convergence and accuracy. And as a conclusion, the location of a company plays a vital role on its pricing strategy and the maximum profit. That is, compared with others, a company with a geographical advantage can achieve more demands and the maximum profit by lowering the price, otherwise the opposite, which is consistent with economic theories.
作者
伍凯
WU Kai(Shenzhen Urban Transport Planning Center Co.,Ltd,Shenzhen 518057,China)
出处
《交通与运输》
2020年第1期59-63,共5页
Traffic & Transportation
