1 5 M ar 2 01 2 Two kinds of Phase transitions in a Voting model

In this paper, we discuss a voting model with two candidates, C 1 and C 2. 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 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 together. We compared our results to the conclusions of experiments and identified the phase transitions in the upper t limit using analysis of human behavior obtained from experiments.