Abstract
The opinion dynamics theory including both trust and distrust in human relation for random network structure and scale-free network structure is presented. Similar to the previous calculation using complete graph structure, for both random network and scale-free network, it is observed that the aspect of consensus building depends on the ratio between the confidence coefficient and the distrust coefficient in the opinion dynamics theory. The ratio of confidence factor to mistrust tended to change, like a phase transition near 55%. For the opinion dynamics on the scale-free network, the hub person can play a role of charismatic person because of a lot of connection to other persons in the society.
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