Fig. 3

Coarse analysis. Percentages of consensus strength (averaged over 100 runs) reached among agents on one particular opinion (y-axes) are shown as a function of the number of interactions (x-axes) for different values of \(\gamma\) and \(\beta.\) The line colors illustrate three different values of \(\gamma\) and line markers three values of \(\beta.\) The plot in a illustrates Reddit Movies results, whereas the plot in b presents the results of StackExchange English dataset. Each line represents results for one particular configuration of \(\gamma\) and \(\beta\). We consider that the consensus strength reaches its maximum when all agents unanimously agree on one particular opinion. With each interaction, agents exchange opinions and the consensus strength increases, but with different growth rates for different configurations of \(\gamma\) and \(\beta\). The growth rates of the consensus strength lines determine how quickly agents reach consensus. A saturation of consensus strength lines is visible for almost all society forms except for (open, stratified), (modular, stratified) and (closed, stratified) (cf. green, blue and red lines with star markers). The growth rates are faster for (open, ranked), (modular, ranked) and (closed, ranked) (cf. green, blue and red lines with diamond markers) compared to (open, egalitarian), (modular, egalitarian) and (closed, egalitarian) societies (cf. green, blue and red lines with circle markers). These results complement our previous findings presented in Fig. 2 and reveal that the appropriate balance between user similarity and social status enables faster consensus strength growth rates in online collaborative systems. a Reddit Movies, b StackExchange English