Computational Economics

, Volume 25, Issue 4, pp 381–405

Opinion Dynamics Driven by Various Ways of Averaging


DOI: 10.1007/s10614-005-6296-3

Cite this article as:
Hegselmann, R. & Krause, U. Comput Econ (2005) 25: 381. doi:10.1007/s10614-005-6296-3


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 from these various ways of averaging 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 partial abstract mean, which also is a new concept. This comprehensive concept of averaging opinions is investigated also analytically and it is shown in particular, that the dynamics driven by it always stabilizes in a certain pattern of opinions.


opinion dynamics bounded confidence averaging power mean random mean abstract means 

Copyright information

© Springer Science + Business Media, Inc. 2005

Authors and Affiliations

  1. 1.Department of PhilosophyUniversity BayreuthGermany
  2. 2.Department of MathematicsUniversity BremenGermany

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