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原文連結
論文資訊
- 類型：已發表論文
- 日期：2024-06-11
摘要
We study a 非線性 bounded-confidence model (BCM) of continuous-time opinion dynamics on 網絡s with both persuadable individuals and zealots. The model is parameterized by a nonnegative scalar ', which controls the steepness of a smooth influence function. This influence function encodes the relative weights that individuals place on the opinions of other individuals. When ' = 0, this influence function recovers Taylor's averaging model; when ' - co, the influence function converges to that of a modified Hegselmann-Krause (HK) BCM. Unlike the classical HK model, however, our sigmoidal bounded-confidence model (SBCM) is smooth for any finite '. We show that the set of steady states of our SBCM is qualitatively similar to that of the Taylor model when ' is small and that the set of steady states a
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