网络效应下具有产品质量差异的Hotelling模型分析  

Hotelling Model Analysis Based on Different Product Quality with the Network Externality

作　　者：童乾 TONG Qian(Department of Mathematics,Guangdong University of Education,Guangzhou 510310,China)

机构地区：[1]广东第二师范学院数学系,广东广州510310

出　　处：《数学的实践与认识》2023年第10期13-20,共8页Mathematics in Practice and Theory

基　　金：2019广东省质量工程项目(特色专业:金融数学);广东第二师范学院校级教学质量与教学改革工程项目(2021zxkc04)。

摘　　要：基于厂商生产的同类产品具有质量差异的情况,分析了网络外部性厂商参与的两阶段完全信息动态博弈问题.利用交通流量分配技术和无穷维变分不等式的计算方法,考虑消费者对产品选择的无差异曲线与质量偏好及人口分布区域的三种不同位置关系,论证了厂商竞争均衡存在性条件,讨论了网络效应下运输成本和厂商选址对厂商竞争均衡情况的影响.Based on the condition that firms produce same kind of product with different quality,Hotelling model with network externality and quadratic transportation cost functions,i.e.the two-stage dynamic game between two firms with perfect information,is analyzed.By using of transportation flow distribution and infinite dimensional variational inequality method,three different circumstances of indifference carve about consumer effectiveness is taken into account,the existence conditions for equilibrium price are obtained.Finally,the influence of business location and transportation cost on equilibrium price is analyzed with network externalities.

关 键 词：HOTELLING模型 产品质量差异 网络外部效应 动态博弈 

分 类 号：F014.3[经济管理—政治经济学]