Fig 1.
The four possible responses to social influence of the Willis-Nail two-dimensional model.
Fig 2.
Schematic illustration of the threshold q-voter model with two types of nonconformity.
In the case of independence the reference group is denoted by a gray color to stress an absence of influence. A voter does not change under peer pressure but takes one of two positions randomly with the same probability f = 1/2.
Fig 3.
Dependence between the public opinion m and the probability of nonconformity p within the threshold q-voter model with two types of nonconformity.
Fig 4.
Phase diagram for the threshold q-voter model with two types of nonconformity in a (p, q) space.
For the conformity threshold r = 0.5q (first column) only continuous order-disorder phase transitions are possible, whereas for r ≥ 0.75q the type of the phase transition depends on q. For small values of q again only continuous order-disorder phase transitions are possible, whereas for q > q* discontinuous phase transitions appear and there is an area in which a disordered phase coexists with the ordered one.
Fig 5.
Critical value of the independence threshold z = z* for different values of q.
For z < z* the phase transition is continuous, whereas for z > z*, it is discontinuous. The white color corresponds to the region where transition is always continuous (z* = 1), whereas the black color stands for discontinuity (z* = 0). In colored region, the transition can be either discontinuous or continuous, depending on z.