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Opinion evolution analysis for short-range and long-range Deffuant–Weisbuch models

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  • Zhang, Jiangbo
  • Hong, Yiguang

Abstract

In this paper, we propose and then analyze two generalized Deffuant–Weisbuch (DW) models. The generalized models extend the conventional DW model by taking multiple choices in two different ways. First, we demonstrate the almost sure convergence of the agent opinions for the short-range multi-choice DW dynamics when only the opinions within confidence regions may be count in. Then we analyze dynamical behavior about the long-range multi-choice DW model when some opinions out of the confidence ranges are considered with a weighted combination. Moreover, both theoretical and simulation results show that the dynamical behaviors of the two models are totally different.

Suggested Citation

  • Zhang, Jiangbo & Hong, Yiguang, 2013. "Opinion evolution analysis for short-range and long-range Deffuant–Weisbuch models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(21), pages 5289-5297.
    • Handle: RePEc:eee:phsmap:v:392:y:2013:i:21:p:5289-5297
    DOI: 10.1016/j.physa.2013.07.014
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    References listed on IDEAS

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    1. Rainer Hegselmann & Ulrich Krause, 2002. "Opinion Dynamics and Bounded Confidence Models, Analysis and Simulation," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 5(3), pages 1-2.
    2. Hu, Jiangping & Hong, Yiguang, 2007. "Leader-following coordination of multi-agent systems with coupling time delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 374(2), pages 853-863.
    3. Lorenz, Jan, 2005. "A stabilization theorem for dynamics of continuous opinions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 355(1), pages 217-223.
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    Cited by:

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    2. Fu, Guiyuan & Zhang, Weidong, 2016. "Opinion formation and bi-polarization with biased assimilation and homophily," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 444(C), pages 700-712.
    3. Gimenez, M. Cecilia & Paz García, Ana Pamela & Burgos Paci, Maxi A. & Reinaudi, Luis, 2016. "Range of interaction in an opinion evolution model of ideological self-positioning: Contagion, hesitance and polarization," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 447(C), pages 320-330.
    4. Fan Zou & Yupeng Li & Jiahuan Huang, 2022. "Group interaction and evolution of customer reviews based on opinion dynamics towards product redesign," Electronic Commerce Research, Springer, vol. 22(4), pages 1131-1151, December.
    5. Shen, Meng & Li, Xiang & Lu, Yujie & Cui, Qingbin & Wei, Yi-Ming, 2021. "Personality-based normative feedback intervention for energy conservation," Energy Economics, Elsevier, vol. 104(C).
    6. Wang, Huanjing & Shang, Lihui, 2015. "Opinion dynamics in networks with common-neighbors-based connections," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 421(C), pages 180-186.
    7. Shen, Han & Tu, Lilan & Wang, Xianjia, 2024. "The influence of emotional tendency on the dissemination and evolution of opinions in two-layer social networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 641(C).

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