Abstract
We study the evolutionary dynamics of a discrete-time continuous-opinion model under bounded confidence in a complete network with random meetings when different types of agents are present, i.e. regular, stubborn and insincere. We find the following. Even though the decision-making succumbs to the contraction principle, the opinion dynamics converges to multiple opinion clusters if regular agents are present with insufficient threshold levels. Further, we identify the conditions under which the process with stubborn agents generates long-run consensus, permanent disagreement or permanent fluctuation in opinions. Even a small deviation towards the inconsistent behavior by a small fraction of agents may turn the society into a persistent fluctuation in opinions. The size of a quorum reduces the effects of insincere counterparts. Simulations generated some non-linearities in the process of opinion formation, giving us some additional insights into the relationship between agents’ tolerance and the level of extremism in a society.
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