Supplemental Materials for: the impact of variable commitment in the Naming Game on consensus formation

Figure S1 shows the transitions between the substates. Table S1 shows the change in the number of agents at each substate after one system interaction, where a, b, c represent the fraction of agents at states A,B,AB and a0, ..., aw, b0, ..., bw′ represent the fraction of agents at substates A0, ..., Aw, B0, ..., Bw′ . The notation A(50%) denotes the case in which the speaker has 50% chance to send the opinion A during the interaction. After combining all of the mean-field equations in Table S1, we arrive at the equations in Table S2.