基于公共物品提供对策的无限网格上的策略互动及其结构性均衡  

The Strategic Interaction and its Structural Equilibrium on Unlimited Plane Lattice Based on Public Goods Provision

作　　者：尹连领[1] 高红伟[1] 王桂荣[1] 宣海[1] 徐蜜[1] 孙娜娜[1] 

机构地区：[1]青岛大学数学科学学院,山东省青岛市宁夏路308号266071

出　　处：《青岛大学学报（自然科学版）》2012年第2期1-6,共6页Journal of Qingdao University(Natural Science Edition)

基　　金：国家自然科学基金项目(70871064;70971070;71003057;71171120);国家自然科学基金国际(地区)合作交流项目(71011120107);山东省自然科学基金项目(ZR2010GQ001);青岛大学优秀研究生学位论文培育项目(YSPY2011003)

摘　　要：基于公共物品提供对策的策略互动模型,在无限平面网格环境下研究考察均衡状态得以实现的条件、结构性均衡的种类以及其中提供公共物品参与者的最小比例等问题。主要贡献是确定了若干种类结构性均衡网格的结构并证明了结构性均衡网络中提供公共物品参与者的最小比例为20%。从网络对策理论的层面对于整体稳定的社会、经济网络中某些无序竞争或对立状态的出现提供了阐释。Based on the public goods provision, the strategic interaction model is considered. We study the conditions of equilibrium, the types of structural equilibrium, the smallest proportion of the players who provide the public goods on unlimited plane lattice and so on. The chief contributions are confirming the several categories of structural network equilibrium, and concluding that the smallest proportion of the participants who provide the public goods is 20%. The appearances of the society with overall stability and some disorderly competitive or hostile state in economic network are interpreted, from the level of network game theory.

关 键 词：网络对策 公共物品 策略互动 无限网格 结构性均衡 

分 类 号：O225[理学—运筹学与控制论]