| 随机需求下三度价格歧视重复博弈的研究 |
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| 引用本文： | 薛凤,陈绍刚.随机需求下三度价格歧视重复博弈的研究[J].数学的实践与认识,2017(10):59-66. |
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| 作者姓名： | 薛凤 陈绍刚 |
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| 作者单位： | 1. 电子科技大学成都学院文理系,四川成都,611731;2. 电子科技大学数学科学学院,四川成都,611731 |
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| 基金项目： | 四川省教育厅科研项目(16ZB0449)“竞争状态下基于随机需求的两类价格歧视交互效应的研究”，国家统计局统计信息技术与数据挖掘重点开放实验室重点项目(SDL201603)“半参数空间计量模型的理论研究与应用” |
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| 摘 要： | 基于随机需求函数,讨论了相互竞争的两厂商实施三度价格歧视无限次重复博弈和不定次重复博弈的均衡分析,在三度价格歧视无限次重复博弈分析中,得出了两厂商在贴现因子影响下的子博弈完美纳什均衡.在三度价格歧视不定次重复博弈分析中,设计了不同的方案并进行了Matlab仿真,比较了不同贴现因子下不同仿真方案的厂商得益,并对仿真结果进行了系统分析,得到了统计意义下的均衡分析.
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| 关 键 词： | 随机需求 三度价格歧视 重复博弈 系统仿真 |
Research on Repeated Game of Third-degree Price Discrimination under Stochastic Demand |
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| XUE Feng,CHEN Shao-gang.Research on Repeated Game of Third-degree Price Discrimination under Stochastic Demand[J].Mathematics in Practice and Theory,2017(10):59-66. |
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| Authors: | XUE Feng CHEN Shao-gang |
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| Abstract: | Based on the random demand function,the paper discussed equilibrium analysis under two competing manufacturers when they enforce the third-degree price discrimination through infinitely repeated game and Indefinite repeated game.In the analysis of third-degree price discrimination under the infinite repeated game,two competing manufacturers obtained the sub-game perfect nash equilibrium under different discount factor.In the analysis of third-degree price discrimination under the infinitely repeated game,the paper designed different schemes and carried out the computer simulation.Besides,obtained the manufacturers benefit under the conditions of different discount factors.Finally,the paper analyzes the results of every simulation plan and works out the critical discount rate and equilibrium strategy in the statistical sense. |
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| Keywords: | stochastic demand third-degree price discrimination repeated game system simulation |
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