Slower is Faster: Fostering Consensus Formation by Heterogenous Inertia

Advances in Complex Systems, Vol. 11, No. 4, pp. 551-563, 2008

Posted: 21 Apr 2010

See all articles by Hans-Ulrich Stark

Hans-Ulrich Stark

Dresden University of Technology - Institute for Transport and Economics

Claudio J. Tessone

ETH Zürich

Frank Schweitzer

ETH Zürich

Date Written: August 1, 2008

Abstract

We investigate an extension of the voter model in which voters are equipped with an individual inertia to change their opinion. This inertia depends on the persistence time of a voter's current opinion (aging). We focus on the case of only two different inertia values: zero if a voter just changed toward a new opinion, and ν otherwise. We are interested in the average time to reach consensus, i.e. the state in which all voters have adopted the same opinion. Adding inertia to the system means to slow down the dynamics at the voter's level, which should presumably lead to slower consensus formation. As an unexpected outcome of our inertial voter dynamics, there is a parameter region of ν where an increasing inertia leads to faster consensus formation. These results rest on the heterogeneity of voters which evolves through the described aging. In a control setting of homogeneous inertia values, we only find monotonously increasing consensus times. In this paper, we present dynamical equations for the mean field case which allow for analytical insight into the observed slower-is-faster effect.

Keywords: Voter model, heterogeneity, social inertia, consensus times

Suggested Citation

Stark, Hans-Ulrich and Tessone, Claudio J. and Schweitzer, Frank, Slower is Faster: Fostering Consensus Formation by Heterogenous Inertia (August 1, 2008). Advances in Complex Systems, Vol. 11, No. 4, pp. 551-563, 2008. Available at SSRN: https://ssrn.com/abstract=1505305

Hans-Ulrich Stark (Contact Author)

Dresden University of Technology - Institute for Transport and Economics ( email )

Mommsenstrasse 13
D-01062 Dresden
Germany

Claudio J. Tessone

ETH Zürich ( email )

Zürichbergstrasse 18
8092 Zurich, CH-1015
Switzerland

HOME PAGE: http://www.sg.ethz.ch/people/tessonec

Frank Schweitzer

ETH Zürich ( email )

Weinbergstrasse 56/58
WEV Room G 211
Zurich, CH-8032
Switzerland
+41 44 632 83 50 (Phone)

HOME PAGE: http://www.sg.ethz.ch

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