Mixed Deffuant Dynamics

Hsin-Lun Li

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arXiv · 2112.02956

Mixed Deffuant Dynamics

Hsin-Lun Li

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Abstract

The original Deffuant model consists of a finite number of agents whose opinion is a number in $[0,1]$. Two socially connected agents are uniformly randomly selected at each time step and approach each other at a rate $μ\in [0,1/2]$ if and only if their opinions differ by at most some confidence threshold $ε>0$. In this paper, we consider a variant of the Deffuant model, namely the mixed model, where the convergence parameter $μ$ and the social relationship can vary over time. We investigate circumstances under which asymptotic stability holds or a consensus can be achieved. Also, we derive a nontrivial lower bound for the probability of consensus which is independent of the number of agents.

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BibTeX RIS

Hsin-Lun Li. 2021-12-06. Mixed Deffuant Dynamics. https://arxiv.org/abs/2112.02956

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