Analyzing the effects of confidence thresholds on opinion clustering in homogeneous Hegselmann-Krause models

被引:2
作者
Srivastava, Trisha [1 ]
Bernardo, Carmela [2 ]
Altafini, Claudio [2 ]
Vasca, Francesco [1 ]
机构
[1] Univ Sannio, Dept Engn, I-82100 Benevento, Italy
[2] Linkoping Univ, Dept Elect Engn, SE-58183 Linkoping, Sweden
来源
2023 31ST MEDITERRANEAN CONFERENCE ON CONTROL AND AUTOMATION, MED | 2023年
关键词
BOUNDED CONFIDENCE; DYNAMICS; CONVERGENCE; NETWORKS;
D O I
10.1109/MED59994.2023.10185838
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Hegselmann-Krause (HK) models exhibit complex behaviors which are not easily tractable through mathematical analysis. In this paper, a characterization of the steady-state behaviors of homogeneous HK models and sensitivity to confidence thresholds is discussed by commenting on existing and new numerical results. The typical decreasing of number of clusters and convergence time by increasing the confidence thresholds are discussed and motivations for the behavior of some counterexamples are provided. A tighter upper bound for the dependence of the number of clusters with respect to the confidence thresholds is proposed. Differences and analogies between the opinions' evolution for symmetric and asymmetric HK models are commented.
引用
收藏
页码:587 / 592
页数:6
相关论文
共 31 条
[1]   Finite-time convergence of opinion dynamics in homogeneous asymmetric bounded confidence models [J].
Bernardo, C. ;
Altafini, C. ;
Vasca, F. .
EUROPEAN JOURNAL OF CONTROL, 2022, 68
[2]   A Mixed Logical Dynamical Model of the Hegselmann-Krause Opinion Dynamics [J].
Bernardo, C. ;
Vasca, F. .
IFAC PAPERSONLINE, 2020, 53 (02) :2826-2831
[3]   Heterogeneous Opinion Dynamics With Confidence Thresholds Adaptation [J].
Bernardo, Carmela ;
Vasca, Francesco ;
Iervolino, Raffaele .
IEEE TRANSACTIONS ON CONTROL OF NETWORK SYSTEMS, 2022, 9 (03) :1068-1079
[4]  
Bhattacharyya A., 2013, P 4 C INNOVATIONS TH, P61
[5]  
Blondel Vincent D., 2007, Proceedings of the European Control Conference 2007 (ECC), P874
[6]   On Krause's Multi-Agent Consensus Model With State-Dependent Connectivity [J].
Blondel, Vincent D. ;
Hendrickx, Julien M. ;
Tsitsiklis, John N. .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2009, 54 (11) :2586-2597
[7]   THE TOTAL s-ENERGY OF A MULTIAGENT SYSTEM [J].
Chazelle, Bernard .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2011, 49 (04) :1680-1706
[8]   Opinion Dynamics of Social-Similarity-Based Hegselmann-Krause Model [J].
Chen, Xi ;
Zhang, Xiao ;
Xie, Yong ;
Li, Wei .
COMPLEXITY, 2017,
[9]   Consensus formation under bounded confidence [J].
Dittmer, JC .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 47 (07) :4615-4621
[10]   Game-Theoretic Analysis of the Hegselmann-Krause Model for Opinion Dynamics in Finite Dimensions [J].
Etesami, Seyed Rasoul ;
Basar, Tamer .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2015, 60 (07) :1886-1897