Long-Time and Short-Time Dynamics in a Weighted-Median Opinion Model on Networks
Lasse Mohr, Poul G. Hjorth, Mason A. Porter
备注：
30 pages, 13 figures, Submitted to SIAM Journal on Applied Dynamical Systems. Version 2 of this manuscript had a mistake in the arxiv title. The manuscript, figure, and appendix of this version is identical to version 2; the only change is the arxiv title which has been changed to align with the title of the manuscript
Social interactions influence people's opinions. In some situations, these interactions eventually yield a consensus opinion; in others, they can lead to opinion fragmentation and the formation of different opinion groups in the form of ``echo chambers''. Consider a social network of individuals with continuous-valued scalar opinions, and suppose that they can change their opinions when they interact with each other. In many models of the opinion dynamics of individuals in a network, it is common for opinion updates to depend on the mean opinion of interacting individuals. As an alternative, which may be more realistic in some situations, we study an opinion model with an opinion-update rule that depends on the weighted median of the opinions of interacting individuals. Through numerical simulations of our median-update opinion model, we investigate how the final opinion distribution depends on network structure. For configuration-model networks, we also derive a mean-field approximation for the asymptotic dynamics of the opinion distribution when there are infinitely many individuals. We numerically investigate its accuracy for short-time opinion dynamics on various networks.
Matrix-weighted networks for modeling multidimensional dynamics
Nordita, Stockholm University and KTH Royal Institute of Technology（北欧理论物理研究所、斯德哥尔摩大学及皇家理工学院）；School of Systems Science and Industrial Engineering, Binghamton University（宾汉姆顿大学系统科学与工业工程学院）；Waseda University（早稻田大学）；University of Oxford（牛津大学）
Probabilistic neighbors' selection competes with confirmation bias in a bounded confidence model
CNRS, Complex Systems Institute of Paris Île-de-France (ISC-PIF)（法国国家科学研究中心，巴黎法兰西岛复杂系统研究所）；Laboratoire de Physique Théorique et Modélisation, CNRS-CY Cergy Paris Université（理论与建模物理实验室，CNRS-CY塞尔吉巴黎大学）；EHESS, Centre d’Analyse et de Mathématique Sociales (CAMS)（高等社会科学学院，社会分析与数学中心）；Cergy Paris Université（塞尔吉巴黎大学）
Collective decision-making with higher-order interactions on $d$-uniform hypergraphs
IMT School for Advanced Studies（意大利高等研究学院）；MoCLiS Research Group, Dschang, Cameroon.（喀麦隆德尚莫克利斯研究组）；Department of Mathematics and Namur Institute for Complex Systems, naXys Université de Namur（南锡大学数学系与南锡复杂系统研究所，naXys）；Faculty of Computer Science and Namur Institute for Complex Systems, naXys Université de Namur（南锡大学计算机科学与南锡复杂系统研究所，naXys）
