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Two kinds of phase transitions in a voting model

2012/03/31 by Masato Hisakado, M Hisakado, Shintaro Mori +1 · 2 citations
Computer Science · Economics, Econometrics and Finance · Physics and Astronomy · #Game Theory and Voting Systems #Opinion Dynamics and Social Influence #Theoretical and Computational Physics #cond-mat.stat-mech #cs.SI #physics.soc-ph

paper · pdf · doi:10.1088/1751-8113/45/34/345002

published as J.Phys.A45,(2012)345002-345016 · 24 pages, 6 figures

arxiv created 2012/07/26 · openalex publication_date 2012/08/02 · arxiv updated 2015/03/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

In this paper, we discuss a voting model with two candidates, C0 and C1. We consider two types of voters--herders and independents. The voting of independents is based on their fundamental values; on the other hand, the voting of herders is based on the number of previous votes. We can identify two kinds of phase transitions. One is an information cascade transition similar to a phase transition seen in Ising model. The other is a transition of super and normal diffusions. These phase transitions coexist. We compared our results to the conclusions of experiments and identified the phase transitions in the upper limit of the time t by using analysis of human behavior obtained from experiments.

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