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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。
On the basis of the endogenous network formation model proposed by Galeotti and Goyal in 2010, we consider the influence on the network structure and individual contribution in the strict Nash equilibrium strategy when there is a decline in the contribution of other individuals obtained by individuals through the network. First, we discuss the common characteristics of strict Nash equilibrium strategy and find that all non-empty network structures must be connected. Second, we consider the strict Nash equilibrium strategy when the cost of connection changes. It is found that the only strict Nash network is empty (or full) network when the cost of network connection exceeds a certain threshold (or is small enough). However, when the connection cost is in between, the star-only star structure in the center-edge network is strictly Nash: when the cost is lower, all the star networks are strictly Nash; when the cost exceeds a certain threshold, only the edge-initiating star Shaped network is strictly Nash’s.