Two kinds of Phase transitions in a Voting model

Abstract

In this paper, we discuss a voting model with two candidates, C_0 and C_1. 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.

24 pages, 6 figures

References in corpus (6)

• Correlated Binomial Models and Correlation Structures
• Tactical Voting in Plurality Elections
• Phase coexistence in a forecasting game
• Phase transition and information cascade in a voting model
• Digital herders and phase transition in a voting model
• Exact Scale Invariance in Mixing of Binary Candidates in Voting Model

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