加权网络上Sznajd舆论模型研究

在异步更新的方式下,将Sznajd舆论模型应用到加权网络上,用网络的节点代表一个人,用节点之间的连接权重来描述人际之间的亲疏关系,研究加权网络的磁化率和权重对舆论演化的影响情况,并进行计算机模拟.结果表明,加权网络上的Sznajd舆论模型不存在僵持态,以相等的概率0.5达到全体向上或全体向下的垄断态;初始磁化率大于0,终态磁化率也肯定大于0;权重更新系数越大越不利于系统一致意见终态形成.

Application of the Sznajd Consense Model to Weighted Networks

Because the interpersonal relationship exists close or distance friends,with the asynchronous renewing way,this paper applies Sznajd model to the weighted network,whose nodes mean one person,and the weight of the link between one node and another node means the intimate or distance degree among interpersonal relationship,and makes a research on the change of the magnetization on weighted network and the effects of the weight.The result shows the weighted network doesn't exist stalemate,achieve the same opinion with the equal probability,and the renewing coefficiant is not in favour of achieving an agreement.