A simulation model of information interaction of social network participants is built in the paper. In the social network, there are two centers of influence - the first and the second centers. Centers of influence are in opposition to each other. The first center of influence raises some initiative. The second center of influence is in opposition to this initiative. Each member of the network generates its attitude to the initiative at the initial time. As a result of information exchange the opinions of participants can evolve. The simulation model allows us to analyze the dynamics of the evolution of the views of participants in the network, depending on the some amount of exogenously specified parameters. The program is written in the environment of MATLAB.