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A Bayesian framework for opinion dynamics models
[Submitted on 22 Aug 2025 (v1), last revised 27 Aug 2026 (this v · 2025-08-23 · via cs.SI updates on arXiv.org

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Abstract:This work introduces a subjective Bayesian framework for the individual update rules used in opinion dynamics models. An individual's initial opinion is represented by the center of a prior belief about an unknown state, and the updated opinion by the posterior mean. After observing a signal, the individual interprets it through a subjective likelihood, which may incorporate perceived bias and noise, and updates the belief by Bayes' rule. Varying the prior and perceived-signal distributions generates four principal response classes: linear updating, saturation, tail rejection, and signal tracking. A sufficiently separated bimodal prior generates local overreaction, mixture signals generate localized attenuation through source attribution, and perceived signal bias generates directional reversal over a finite region. The framework provides Bayesian microfoundations for established response functions and shows that updates often viewed as irrational can be Bayes-consistent under a receiver's subjective beliefs.

Submission history

From: Yen-Shao Chen [view email]
[v1] Fri, 22 Aug 2025 17:03:12 UTC (120 KB)
[v2] Thu, 27 Aug 2026 06:54:21 UTC (112 KB)