Berlin 2008 – wissenschaftliches Programm
Bereiche | Tage | Auswahl | Suche | Downloads | Hilfe
AKSOE: Arbeitskreis Physik sozio-ökonomischer Systeme
AKSOE 4: Dynamics of Groups and Organizations II
AKSOE 4.2: Vortrag
Montag, 25. Februar 2008, 14:30–15:00, EW 203
Slower-is-faster: Enforcing consensus formation by heterogeneous inertia to change opinion — Hans-Ulrich Stark, Claudio Juan Tessone, and •Frank Schweitzer — Chair of Systems Design,ETH Zurich, Switzerland
In this paper, we investigate the role of a certain heterogeneity in an extension of the voter model. In our model, voters are equipped with an individual inertia to change opinion which depends on the persistence time of a voter’s current opinion. We focus on the simplest scenario, where there are only two different inertia values present in the system: zero if a voter just adopted its current opinion and ν otherwise. In this way, voters change their individual behavior over time and the system builds up heterogeneity. The unexpected outcome of this dynamics is a non-monotonous development of average consensus times Tκ on the value ν. Up to a value νc, Tκ decreases systematically with increasing ν, i.e. systems with higher average inertia reach the final attractor state faster. For inertia values larger than νc, consensus times increase and can exceed the reference time of the voter model. These results are obtained only by considering a heterogeneity of voters that evolves through the described ageing of the voters, as we find monotonously increasing consensus times in a control setting of homogeneous inertia values. In the paper, we present the dynamical equations for the mean-field case, that give insight into the complex dynamics leading to the observed slower-is-faster effect.