Convergence Analysis of Heterogeneous Deffuant-Weisbuch Model

摘要：

In this paper, we consider the dynamics of heterogeneous Deffuant-Weisbuch (DW) model. Different from homogeneous DW model, the convergence analysis is much complicated because the selected agent’s opinion value would not be in the acceptable confidence neighbor of the corresponding agent who selects it unlike the uniform confidence radius case in the homogeneous DW model. For the first time, we prove that the convergence is reached almost surely, and the absolute difference of any two agents’ limit opinion values are either zero or larger than the smallest confidence radius almost surely in the trajectory probability space about the heterogeneous DW model.

关键词： heterogeneous DW model convergence confidence radius opinion dynamics

作者: Jiangbo Zhang Yiguang Hong

作者单位: Key Lab of Systems and Control, Academy of Mathematics and Systems Science, Chinese Academy of Scien Key Lab of Systems and Control, Academy of Mathematics and Systems Science, Chinese Academy of Scien

会议类型: 国际会议

会议名称: The 31st Chinese Control Conference(第三十一届中国控制会议)

会议地点: 合肥

会议语种:英文

页码: 1124-1129

在线出版日期: 2012-07-01（万方平台首次上网日期，不代表论文的发表时间）