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We study a stochastic model of anonymous inuence with conformist and anti-conformist individuals. Each agent with a 'yes' or 'no' initial opinion on a certain issue can change his opinion due to social inuence. We consider anonymous inuence which depends on the number of agents having a certain opinion, but not on their identity. An individual is conformist/anti-conformist if his probability of saying 'yes' increases/decreases with the number of `yes'- agents. In order to consider both conformists and anti-conformists in a society, we investigate a generalized aggregation mechanism. It uses the ordered weighted averages which are the only anonymous aggregation functions. Additionally, every agent has a coefficient of conformism wihch is a real number from -1 till , with the two extreme values corresponding to a pure anti-conformist and a pure conformist, respectively. We assume that both pure conformists and anti-conformists are present in a society, and we deliver a qualitative analysis of convergence in the model, i.e., find all terminal classes and conditions for their occurrence.
