Session D7: Fluctuations and Critical Phenomena in Population Dynamics

2:30 PM–5:30 PM, Monday, March 15, 2010
Room: Portland Ballroom 254

Sponsoring Units: GSNP DBP
Chair: Mark Dykman, Michigan State University

Abstract ID: BAPS.2010.MAR.D7.4

Abstract: D7.00004 : Dynamics of Voting Models

4:18 PM–4:54 PM

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  Sidney Redner
    (Boston University)

The voter model provides a paradigmatic description of consensus formation in a population of interacting agents. Each voter can be in one of two opinion states and continuously updates its opinion at a rate proportional to the fraction of neighbors of the opposite opinion. This model has been completely solved when the voters are situated on the nodes of a regular graph. This talk will discuss several extensions of the basic voter model: (i) on complex graphs, consensus is generally achieved quickly, (ii) multi-state and strategic voting leads opinion evolution with multiple time scales, (iii) heterogeneous voters can lead to ultra-slow evolution.

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