基于古诺博弈策略的报童问题的模型及分析

Model and Analysis on the Newsboy Problem Based on Cournot Game

通过建立和分析基于古诺博弈策略的报童问题的数学模型,寻求两个销售商有重叠销售区域时的竞争价格策略优化方法.模型的主要特点是:基于蜂窝理论刻画每个销售商的营销区域呈正六边形,分析了相邻销售商有重叠销售区域时,如何确定最优竞争价格策略,保证其利润最大;其次,该模型把需求量看成价格的函数,将消费者与销售商的距离看成是影响实际消费行为的重要因素纳入到消费者密度函数.

Based on the Cournot game strategy,this paper established a mathematical model of the newsboy problem in order to optimize the price competition strategy if the two vendors have overlapping sales areas.The model characterized the marketing areas of each seller as regular hexagons based on the honeycomb theory,and presented the competitive pricing strate-gy in order to ensure the maximum profit .Furthermore,this model considered the demand quantity as a function of the price, and introduced the distance between the consumer and the seller into the consumer density function since it is an important fac-tor affecting the actual consumption action .