2 research outputs found
Phase transition in the Sznajd model with independence
We propose a model of opinion dynamics which describes two major types of
social influence -- conformity and independence. Conformity in our model is
described by the so called outflow dynamics (known as Sznajd model). According
to sociologists' suggestions, we introduce also a second type of social
influence, known in social psychology as independence. Various social
experiments have shown that the level of conformity depends on the society. We
introduce this level as a parameter of the model and show that there is a
continuous phase transition between conformity and independence
Exit probability in a one-dimensional nonlinear q-voter model
We formulate and investigate the nonlinear -voter model (which as special
cases includes the linear voter and the Sznajd model) on a one dimensional
lattice. We derive analytical formula for the exit probability and show that it
agrees perfectly with Monte Carlo simulations. The puzzle, that we deal with
here, may be contained in a simple question: "Why the mean field approach gives
the exact formula for the exit probability in the one-dimensional nonlinear
-voter model?". To answer this question we test several hypothesis proposed
recently for the Sznajd model, including the finite size effects, the influence
of the range of interactions and the importance of the initial step of the
evolution. On the one hand, our work is part of a trend of the current debate
on the form of the exit probability in the one-dimensional Sznajd model but on
the other hand, it concerns the much broader problem of nonlinear -voter
model