Khái niệm cốt lõi
The author proposes the Message-Enhanced DeGroot model to quantitatively analyze the impact of messages on agents' opinions over social networks, incorporating temporal continuity, randomness, and polarization features from mass media theory.
Tóm tắt
The paper introduces the Message-Enhanced DeGroot model to study how messages influence agents' opinions. It combines the Bounded Brownian Message model with the traditional DeGroot model to provide a quantitative analysis. The simulation results validate the theoretical analyses presented in the paper. The study focuses on understanding how messages shape opinions and offers valuable insights into opinion dynamics under message influence.
Thống kê
P(si,t = 0|si,0) = Z t 0 dτ τ X j∈E (si,0 − j)g(j, τ|si,0)
P(si,t = 1|si,0) = Z t 0 dτ τ X j∈O (j − si,0)g(j, τ|si,0)
fsi,t(x|si,0) = X n∈E g(n + x, t|si,0) − g(-n - x, t|si,0)
E(si,t|si,0) a.s. = si,0
D(si,t|si,0) a.s. ⩽ (c2t) ∧ [si,0(1 − si,0)]
limt→∞ P(si,t = 1|si,0) a.s. = si,0
limt→∞ P(si,t = 0|si,0) a.s. = 1 - si_00
Trích dẫn
"The BBM model provides a quantitative description of message evolution considering temporal continuity and randomness."
"The MED model quantitatively describes the evolution of agents’ opinions under the influence of messages."
"Simulation results validate our analyses regarding message impact on opinion dynamics."