The α-EPO q-voter model shows that update probability α between private and expressed opinions shifts agreement thresholds and hysteresis width, with effects that depend strongly on whether self-anticonformity is present.
Mobilia, Nonlinear q-voter model with inflexible zealots, Physical Review E - Statistical, Nonlinear, and Soft Matter Physics92(2015)
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Competition between private and expressed opinions in binary choice: the $\alpha$-EPO $q$-voter model
The α-EPO q-voter model shows that update probability α between private and expressed opinions shifts agreement thresholds and hysteresis width, with effects that depend strongly on whether self-anticonformity is present.