内生无限平面网格上基于策略互动的均衡网络结构及吸收集  

The structure of the equilibrium network and the absorbing set based on strategic interaction on the endogenous infinite lattice

作　　者：宋丽[1] 高红伟[1] 陈春蕊[1] 李康[1] 胡平[1] 王坤[1] 

机构地区：[1]青岛大学数学科学学院,山东青岛266071

出　　处：《运筹学学报》2012年第4期31-40,共10页Operations Research Transactions

基　　金：国家自然科学基金项目(Nos.70871064;71003057;71171120);国家自然科学基金国际(地区)合作交流项目(Nos.71011120107;71210307025);山东省自然科学基金项目(No.ZR2010GQ001);青岛大学研究生教育创新计划项目(No.QDY12017)

摘　　要：在内生网络环境下,基于局中人的策略互动研究了均衡网络的结构特性,以及局中人策略选择的倾向性.在动态进程的同一阶段,规定所有局中人同时进行策略更新,研究了网络生成的连接费用、互动支付等参数之间的相互关系及其对均衡结构或吸收集的影响.主要贡献是将网络的内生性与无限网格上的策略互动联系在一起,得出不同连接费用水平之下的均衡结构、吸收集的准确特征.This paper deals with strategic interaction model based on the endogenous infinite lattice. The properties of the equilibrium and the tendency of players＇ strategy are the research objective. In every period of the dynamic process, players update their strategy at the same time. We study how the relationship between the cost of link formation and the payoff influences the equilibrium structure and the absorbing set. The main contribution of the paper is combining the endogenous network with the strategic interaction on the endogenous infinite lattice. We also give the accurate characteristics of the equilibrium structure and the absorbing set with different parameters.

关 键 词：内生网络 无限网格 策略互动 均衡结构 吸收集 

分 类 号：O225[理学—运筹学与控制论]