| 消费者分布不均匀条件下的具有网络外部性的Hotelling模型 |
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| 引用本文： | 童乾,沈乐平.消费者分布不均匀条件下的具有网络外部性的Hotelling模型[J].数学的实践与认识,2010,40(9). |
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| 作者姓名： | 童乾 沈乐平 |
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| 摘 要： | 将交通流量分配技术和无穷维变分方法相结合,采用无穷维变分不等式刻画网络产品水平差异的模型,研究了消费者分布不均匀时,具有网络外部性特征的企业进行价格竞争的两阶段完全信息动态博弈问题.得到了厂商价格竞争均衡的存在性条件,分析了产品的网络外部性特征及单位运输成本对两个厂商竞争均衡情况的影响.
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| 关 键 词： | Hotelling模型 网络外部性 消费者分布不均匀 Nash均衡 无穷维变分不等式 |
Hotelling Model Based on the Network Externality and Consumer Heterogeneity |
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| TONG Qian,SHEN Le-ping.Hotelling Model Based on the Network Externality and Consumer Heterogeneity[J].Mathematics in Practice and Theory,2010,40(9). |
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| Authors: | TONG Qian SHEN Le-ping |
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| Abstract: | By using of transportation flow distribution and infinite dimensional variational inequality method,the market share model of network products,i.e.infinite dimensional variational inequality,is set up.Basing on this method,the author analyzes the two-stage dynamic game between two firms with perfect information and network externality character on the condition of heterogeneous distribution about consumer.The existence conditions for equilibrium price are obtained.Finally,the influence of network externality character and unit transportation cost on the firms' competition equilibrium is analyzed. |
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| Keywords: | Hotelling model network externality heterogeneous distribution nash equilibrium infinite dimensional variational inequality |
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