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The problem of modeling dynamics of complex networks is considered. The network model with non-unit elasticity controlled by mediation-driven attachment rule is studied. According to that rule, new nodes do not need a direct access to node statistics of the network: this data affects the links of new nodes, but is used implicitly. The assortative property of the considered model of complex networks is studied. It was shown that the proposed model generates networks with non-zero assortativity coefficient that is an important feature of this model. The dependence of the assortativity coefficient on the network size and copy-factor is obtained by numerical simulation.