摘要
在Galeotti和Goyal 2010年提出的内生网络形成模型基础上,考虑当个体通过网络所获得的其它个体的贡献存在衰退时,分别对严格纳什均衡策略中的网络结构和个体贡献的影响。首先讨论严格纳什均衡策略的共有特性,发现所有的非空网络结构必定是连通的。其次考虑连接成本变化时严格纳什均衡策略的变化,发现当网络连接成本超过确定门槛(或足够小)时,唯一的严格纳什网络是空(或完全)网络。但当连接成本处于两者间时,中心-边缘网络中仅星形结构是严格纳什的:当成本较低,所有星形网络都是严格纳什的;当成本超过某门槛值,仅边缘发起星形网络是严格纳什的。
Based on the endogenous network formation model proposed by Galeotti and Goyal （GG） in 2010, this paper deals with the effect of the decay in other individual contributions obtained through network on the network structure and agents＇ individual contribution in the strict Nash equilibrium. First, we discuss the characteristics of the strict Nash equilibrium, and find that non-empty networks must be connected. Then, By considering the changes of strict Nash equilibrium with the changes of the cost of links, we find that： （1） when the cost of links is higher than a certain threshold （or low enough）, the unique strict Nash network is empty （or complete network）, but when the cost is intermediate, within the core-periphery networks, only stars are found to be strict Nash; （2） If the cost is low, all the stars are strict Nash while, above a threshold, only the periphery-sponsored ones are strict Nash.
出处
《系统工程》
CSSCI
CSCD
北大核心
2013年第8期112-117,共6页
Systems Engineering
基金
国家自然科学基金重大项目(71090402)
国家自然科学基金资助项目(71771095)
