Title
Biased opinion dynamics: when the devil is in the details
Abstract
We study opinion dynamics in multi-agent networks when a bias toward one of two possible opinions exists, for example reflecting a status quo versus a superior alternative. Our aim is to investigate the combined effect of bias, network structure, and opinion dynamics on the convergence of the system of agents as a whole. Models of such evolving processes can easily become analytically intractable. In this paper, we consider a simple yet mathematically rich setting, in which all agents initially share an initial opinion representing the status quo. The system evolves in steps. In each step, one agent selected uniformly at random follows an underlying update rule to revise its opinion on the basis of those held by its neighbors, but with a probabilistic bias towards the superior alternative. We analyze convergence of the resulting process under well-known update rules. The framework we propose is simple and modular, but at the same time complex enough to highlight a nonobvious interplay between topology and underlying update rule.
Year
DOI
Venue
2022
10.1016/j.ins.2022.01.072
Information Sciences
Keywords
DocType
Volume
Opinion dynamics,Majority dynamics,Voter model,Social networks,Consensus,Markov chains
Journal
593
ISSN
Citations 
PageRank 
0020-0255
1
0.38
References 
Authors
0
5
Name
Order
Citations
PageRank
Aris Anagnostopoulos1105467.08
Luca Becchetti294555.75
Emilio Cruciani3144.30
Francesco Pasquale442128.22
Sara Rizzo510.38