Unanimous opinions in social influence networks

In this paper, I show that persons reach unanimous opinions even when they have different initial opinions and different social influences in social i nfluence networks. Friedkin and Johnsen introduced a model of social influe nce networks, and identified conditions for initially diverse opinions to c onverge. However, they did not examine conditions of "unanimous" convergenc e. Hence, I provide sufficient conditions of such unanimous consensus by fo cusing on three typical but conflicting social influences: the equal influe nce, the influence of the lowest opinion, and no influence. I show that una nimous opinions occur even when persons have antagonistic social influences such as the equal influence and the influence of the lowest opinion. I als o demonstrate that the most cooperative type is the equal influence, but th e most central type is the no influence.