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Supporting Online Material

In Section 1, we summarized our analyses of the deterministic and the stochastic bestresponse model. First, we described in detail how random deviations can trigger off a cascade and how cascades can lead to regime shifts on the macro-level. Second, we studied under which experimental conditions the two model versions make different predictions. The figures of the main paper show that the stochastic best-response model predicts for two conditions of the two studies the emergence of a descriptive norm, a collective pattern that the deterministic model is not able to explain. These figures focus on the structural conditions of the experimental settings and do not inform about whether the two model versions generate the same predictions also under alternative conditions. Therefore, we conducted several simulation experiments, testing whether model predictions depend on the amount of deviations (β), the initial color distribution in the network, and the duration of the interaction process. The following list provides an overview over the core results of the additional analyses presented in Section 1.