基于博弈的私营-公有混合路网定价

doi:10.12066/j.issn.1007-2861.2213

上海大学学报(自然科学版) ›› 2020, Vol. 26 ›› Issue (3): 342-352.doi: 10.12066/j.issn.1007-2861.2213

基于博弈的私营-公有混合路网定价

江楠¹, 郑煜², 张小宁²()

1. 中国人民银行杭州中心支行, 杭州 310001
2. 同济大学经济与管理学院, 上海 200092

收稿日期:2020-03-19 出版日期:2020-06-30 发布日期:2020-07-07
通讯作者: 张小宁 E-mail:cexzhang@tongji.edu.cn
基金资助:
国家自然科学基金资助项目(71890973);国家自然科学基金资助项目(71531011)

Pricing of a private-public hybrid road network based on game theory

JIANG Nan¹, ZHENG Yu², ZHANG Xiaoning²()

1. Hangzhou Central Sub-branch, The People's Bank of China, Hangzhou 310001, Zhejiang, China
2. School of Economics and Management, Tongji University, Shanghai 200092, China

Received:2020-03-19 Online:2020-06-30 Published:2020-07-07
Contact: ZHANG Xiaoning E-mail:cexzhang@tongji.edu.cn

摘要/Abstract

摘要：

对“私营-公有”混合路网的收费博弈问题进行了研究并建立了模型, 理论推导和证明了在由私营企业和公有企业控制的平行路网中, 私营-公有企业收费博弈的均衡解的存在性和性质, 比较了不同的博弈模式对社会福利、收费、流量等的影响. 研究结果表明: 寡头博弈下各路段将收取最高的费用, 产生最低的总出行流量和社会福利; 社会最优福利博弈各路段的收费最低, 但是流量和社会福利最高; 混合博弈的收费、总出行流量和社会福利介于其他 2 种博弈之间. 最后通过算例探讨了平行路网中所有路段为对称时不同博弈模式的效率.

关键词: “私营-公有”混合路网, 博弈模型, 均衡, 定价

Abstract:

In this paper, a game analysis of “private-public” mixed road network charges was performed. A model was established to theoretically deduce and prove the existence and nature of an equilibrium solution of game analysis of the charges of private-public enterprises for a parallel road network controlled by them. Additionally, the influence of different game models on social welfare, charge, traffic, etc. was compared. In the oligarch game, the highest fee will be charged for each road section, resulting in the lowest total travel flow and social welfare; in the social optimal welfare game, the lowest fee will be charged for each road section, but the total travel flow and social welfare will be the highest; in the mixed game, the fee, total travel flow and social welfare will lie between those of the other two games. Finally, the efficiency of different game models was discussed when all the road sections in a parallel network are symmetrical.

Key words: “private public” hybrid road network, game model, equilibrium, pricing

中图分类号:

F283

江楠, 郑煜, 张小宁. 基于博弈的私营-公有混合路网定价[J]. 上海大学学报(自然科学版), 2020, 26(3): 342-352.

JIANG Nan, ZHENG Yu, ZHANG Xiaoning. Pricing of a private-public hybrid road network based on game theory[J]. Journal of Shanghai University（Natural Science Edition）, 2020, 26(3): 342-352.

图/表 1

参考文献 11

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基于博弈的私营-公有混合路网定价

Pricing of a private-public hybrid road network based on game theory

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