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运筹学学报 ›› 2014, Vol. 18 ›› Issue (4): 25-35.

• 运筹学 • 上一篇    下一篇

内生网络环境下具有异质连接费用的局部策略互动

孙丽萍1, 高红伟1，*, VASIN Alexander2, 宋丽1, 李茹1, 王磊3   

  1. 1. 青岛大学数学科学学院, 山东青岛 266071;   2. 莫斯科国立大学计算数学与控制论系, 莫斯科; 3. 青岛大学师范学院数学系, 山东青岛 266071
  • 收稿日期:2014-06-08 出版日期:2014-12-15 发布日期:2014-12-15
  • 通讯作者: 高红伟 E-mail:gaohongwei@qdu.edu.cn
  • 基金资助:

    国家自然科学基金(Nos. 71003057, 71171120, 71373262), 国家自然科学基金国际(地区)合作交流项目(Nos. 71311120090, 71311120091, 71411130215), 教育部高等学校博士学科点专项科研基金(No. 20133706110002), 青岛大学研究生教育创新计划项目(Nos. QDY12017, QDY13004)}

Local strategic interaction with heterogeneous link costs in the endogenous network

SUN Liping1, GAO Hongwei1,*, VASIN Alexander2, SONG Li1, LI Ru1, WANG Lei3   

  1. 1. College of Mathematics, Qingdao University, Qingdao 266071, Shandong, China; 2. Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University, Moscow, Russia; 3. Department of Mathematics, College of Teachers, Qingdao University, Qingdao 266071, Shandong, China
  • Received:2014-06-08 Online:2014-12-15 Published:2014-12-15

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摘要： 考察内生网络环境下局中人之间的局部策略互动, 网络中的局中人只与直接邻居进行协同对策. 网络生成的过程中, 建立连接的费用是异质的~(具有两种水平), 与采取有效行动的局中人建立连接时执行高水平费用, 与采取风险占优行动的局中人建立连接时执行低水平费用. 在异质连接费用的情形下, 首次较为完整地给出了均衡网络的结构特性和局中人的行动选择, 并分析了费用参数对均衡结果的影响.

关键词: 网络对策, 局部策略互动, 异质连接费用, 内生网络, 协同对策

Abstract: In the context of endogenous network formation, players can only play coordination game with their direct neighbors. In the network formation process, the cost of link formation is heterogeneous (with two levels), and players would bear high-level costs when establishing links with players who choose an efficient action, and would bear low-level costs when establishing links with players who choose a risk-dominated action. In the case of heterogeneous link costs, the paper firstly gives an explicit description of the nature of network structure and players' choices in the equilibrium outcomes, and has analytically studied how the cost of link formation affecting the equilibrium outcomes.

Key words: network game, local strategic interaction, heterogeneous link cost, endogenous network formation, coordination game

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