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Opinion Formation and Phase Transitions in a Probabilistic Cellular Automaton with Two Absorbing States

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Cellular Automata (ACRI 2002)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2493))

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Abstract

We discuss the process of opinion formation in a completely homogeneous, democratic population using a class of probabilistic cellular automata models with two absorbing states. Each individual can have one of two opinions that can change according to that of his neighbors. It is dominated by an overwhelming majority and can disagree against a marginal one. We present the phase diagram in the mean field approximation and from numerical experiments for the simplest nontrivial case. For arbitrarily large neighborhoods we discuss the mean field results for a non-conformist society, where each individual adheres to the overwhelming majority of its neighbors and choses an opposite opinion in other cases. Mean field results and preliminary lattice simulations with long-range connections among individuals show the presence of coherent temporal oscillations of the population.

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Author information

Authors and Affiliations

  1. Dipartimento di Energetica, Università di Firenze, Via S. Marta, 3, I-50139, Firenze, Italy

    Franco Bagnoli

  2. Dipartimento di Sistemi e Informatica, Università di Firenze, Via S. Marta, 3, I-50139, Firenze, Italy

    Fabio Franci

  3. Centro de Investigacíon en Energía, UNAM, 62580, Temixco, Morelos, Mexico

    Raúl Rechtman

  4. INFM, Sezione di Firenze, Italy

    Franco Bagnoli & Fabio Franci

Authors
  1. Franco Bagnoli
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  2. Fabio Franci
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  3. Raúl Rechtman
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Editor information

Editors and Affiliations

  1. Department of Computer Science, Systems and Communication, University of Milano-Bicocca, Via Bicocca degli Arcimboldi, 8, 20126, Milan, Italy

    Stefania Bandini

  2. Computer Science Department, University of Geneva, 24, Rue du General Dufour, 1211, Geneva 4, Switzerland

    Bastien Chopard

  3. Computer Science Institute Faculty of Sciences, University of Lausanne, 1015, Lausanne, Switzerland

    Marco Tomassini

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© 2002 Springer-Verlag Berlin Heidelberg

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Bagnoli, F., Franci, F., Rechtman, R. (2002). Opinion Formation and Phase Transitions in a Probabilistic Cellular Automaton with Two Absorbing States. In: Bandini, S., Chopard, B., Tomassini, M. (eds) Cellular Automata. ACRI 2002. Lecture Notes in Computer Science, vol 2493. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45830-1_24

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  • DOI: https://doi.org/10.1007/3-540-45830-1_24

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-44304-9

  • Online ISBN: 978-3-540-45830-2

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