Consensus time and winning rate based on simulations in two-layer networks with hypocrisy

We have developed a new simulation approach for a general concealed voter model (GCVM), called a microscopic version of GCVM. Unlike GCVM, which only uses statistical-physical methods, our approach starts from a real network. A microscopic approach is suitable for any two-layer network (with internal ans external layers) satisfying the definition given in the paper. We have conducted a series of simulations with different network structures and found that a cyclic external structure prolongs consensus time in comparison with a complete external structure. Moreover, a cyclic external structure has a positive impact on a winning rate, and this result is different from the one obtained in the macroscopic version of GCVM. The possible reasons for this difference are discussed in the paper.