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Collective Dynamics of Interacting Agents when Driven by PAM

Author

Listed:
  • Rainer Hegselmann

    (Department of Philosophy, University of Bayreuth, Germany)

  • Ulrich Krause

    (Department of Mathematics, University of Bremen, Germany)

Abstract

The paper treats opinion dynamics under bounded confidence when agents employ, beside an arithmetic mean, means like a geometric mean, a power mean or a random mean in aggregating opinions. The different kinds of collective dynamics resulting for these means are studied and compared by simulations. Particular attention is given to the random mean which is a new concept introduced in this paper. All those concrete means are just particular cases of a PAM, that is a partial abstract mean, which also is a new concept. Such a PAM is investigated also analytically and it is shown in particular, that the collective dynamics for a PAM always stabilizes in a fragmented pattern of opinions.

Suggested Citation

  • Rainer Hegselmann & Ulrich Krause, "undated". "Collective Dynamics of Interacting Agents when Driven by PAM," Modeling, Computing, and Mastering Complexity 2003 08, Society for Computational Economics.
    • Handle: RePEc:sce:cplx03:08
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    File URL: http://zai.ini.unizh.ch/www_complexity2003/doc/Paper_Hegselmann.pdf
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    References listed on IDEAS

    as
    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.
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    More about this item

    Keywords

    interacting agents; collective dynamics; opinion dynamics;
    All these keywords.

    JEL classification:

    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
    • D74 - Microeconomics - - Analysis of Collective Decision-Making - - - Conflict; Conflict Resolution; Alliances; Revolutions

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