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A Rejection Mechanism In 2d Bounded Confidence Provides More Conformity

Author

Listed:
  • S. HUET

    (Cemagref, Laboratoire d'Ingénierie des Systèmes Complexes, 63172 Aubière, France)

  • G. DEFFUANT

    (Cemagref, Laboratoire d'Ingénierie des Systèmes Complexes, 63172 Aubière, France)

  • W. JAGER

    (Faculty of Economics and Business, University of Groningen, The Netherlands)

Abstract

This paper explores the dynamics of attitude change in two dimensions resulting from social interaction. We add a rejection mechanism into the 2D bounded confidence (BC) model proposed by Deffuantet al.(2001). Individuals are characterized by two-dimensional continuous attitudes, each associated with an uncertaintyu, supposed constant in this first study. Individuals interact through random pairs. If their attitudes are closer thanuon both dimensions, or further thanuon both dimensions, or closer thanuon one dimension and not further thanu + δ uon the other dimension, then the rules of the BC model apply. But if their attitudes are closer thanuon one dimension and further thanu + δ uon the other dimension, then the individuals are in a dissonant state. They tend to solve this problem by shifting away their close attitudes. The model shows metastable clusters, which maintain themselves through opposite influences of competitor clusters. Our analysis and first experiments support the hypothesis that, for a large range of uncertainty values, the number of clusters grows linearly with the inverse of the uncertainty, whereas this growth is quadratic in the BC model.

Suggested Citation

  • S. Huet & G. Deffuant & W. Jager, 2008. "A Rejection Mechanism In 2d Bounded Confidence Provides More Conformity," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 11(04), pages 529-549.
    • Handle: RePEc:wsi:acsxxx:v:11:y:2008:i:04:n:s0219525908001799
    DOI: 10.1142/S0219525908001799
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    Cited by:

    1. Andreas Flache, 2018. "About Renegades And Outgroup Haters: Modeling The Link Between Social Influence And Intergroup Attitudes," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 21(06n07), pages 1-32, September.
    2. Krawczyk, M.J. & Dydejczyk, A. & Kułakowski, K., 2014. "The Simmel effect and babies’ names," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 395(C), pages 384-391.
    3. Han, Wenchen & Gao, Shun & Huang, Changwei & Yang, Junzhong, 2022. "Non-consensus states in circular opinion model with repulsive interaction," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 585(C).
    4. Shane T. Mueller & Yin-Yin Sarah Tan, 2018. "Cognitive perspectives on opinion dynamics: the role of knowledge in consensus formation, opinion divergence, and group polarization," Journal of Computational Social Science, Springer, vol. 1(1), pages 15-48, January.
    5. Kurmyshev, Evguenii & Juárez, Héctor A. & González-Silva, Ricardo A., 2011. "Dynamics of bounded confidence opinion in heterogeneous social networks: Concord against partial antagonism," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(16), pages 2945-2955.
    6. Dirk Van Rooy & Ian Wood & Eric Tran, 2016. "Modelling the Emergence of Shared Attitudes from Group Dynamics Using an Agent-Based Model of Social Comparison Theory," Systems Research and Behavioral Science, Wiley Blackwell, vol. 33(1), pages 188-204, January.
    7. Pedraza, Lucía & Pinasco, Juan Pablo & Saintier, Nicolas & Balenzuela, Pablo, 2021. "An analytical formulation for multidimensional continuous opinion models," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).

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