Opinion Dynamics Driven by Various Ways of Averaging

Authors:
Rainer Hegselmann;Ulrich Krause
Affiliations:
Department of Philosophy, University Bayreuth, Germany;Department of Mathematics, University Bremen, Germany
Venue:
Computational Economics
Year:
2005

Citing 1
Cited 1

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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 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.