Generalization to Square Lattice of Sznajd Sociophysics Model

Stauffer, Dietrich; Sousa, A. O.; Oliveira, S. Moss de

doi:10.1142/s012918310000105x

Cited by 151 publications

(197 citation statements)

References 4 publications

Supporting

Mentioning

177

Contrasting

Unclassified

Order By: Relevance

“…This does not hold for the 1 node convincing case (see Fig. 2) where there is no such transition and the mean opinion of the system varies smoothly as a function of the initial density of opinion +1, as well the results does not have any dependence on the network size N. The phase transition at p c = 1/2 here observed does not exist in one dimension [4] or when a single site [9] (instead of a pair or plaquette) on the square lattice [8] convinces its neighbors, although it is also found on the square lattice when a plaquette or a neighboring pair persuades its neighbors [8], on a correlated-diluted square lattice [11], on a triangular and simple cubic lattice if a pair convinces its 8 (or 10, respectively) neighbors [13], on the Barabási-Albert network [12] and on a pseudo-fractal network [14].…”

Section: The Sznajd Model 23 Binary Opinionssupporting

confidence: 58%

Consensus formation on a triad scale-free network

Sousa¹

2005

Physica A: Statistical Mechanics and its Applications

View full text Add to dashboard Cite

Several cases of the Sznajd model of socio-physics, that only a group of people sharing the same opinion can convince their neighbors, have been simulated on a more realistic network with a stronger clustering. In addition, many opinions, instead of usually only two, and a convincing probability have been also considered. Finally, with minor changes we obtain a vote distribution in good agreement with reality.

show abstract

Section: The Sznajd Model 23 Binary Opinionssupporting

confidence: 58%

Consensus formation on a triad scale-free network

Sousa¹

2005

Physica A: Statistical Mechanics and its Applications

View full text Add to dashboard Cite

show abstract

“…However, if we look at figure 5 we see that Kirkwood approximation given equations by (13) and (14) cannot be justified by computer simulations.…”

Section: P-2mentioning

confidence: 92%

“…1). It is worth to notice that step-like function describes exit probability in the case of two dimensional outflow dynamics [13], but not in one dimension [14].…”

mentioning

confidence: 99%

Some new results on one-dimensional outflow dynamics

2008

View full text Add to dashboard Cite

Abstract. -In this paper we introduce modified version of one-dimensional outflow dynamics (known as a Sznajd model) which simplifies the analytical treatment. We show that simulations results of the original and modified rules are exactly the same for various initial conditions. We obtain the analytical formula for exit probability using Kirkwood approximation and we show that it agrees perfectly with computer simulations in case of random initial conditions. Moreover, we compare our results with earlier analytical calculations obtained from renormalization group and from general sequential probabilistic frame introduced by Galam. Using computer simulations we investigate the time evolution of several correlation functions to show if Kirkwood approximation can be justified. Surprisingly, it occurs that Kirkwood approximation gives correct results even for these initial conditions for which it cannot be easily justified.

show abstract

“…Instead of a pair, also a single site, or a plaquette of four agreeing neighbours has been simulated [19,21] to convince all neighbours.…”

Section: Sznajdmentioning

confidence: 99%

How to Convince Others? Monte Carlo Simulations of the Sznajd Model

Stauffer¹

2003

AIP Conference Proceedings

View full text Add to dashboard Cite

In the Sznajd model of 2000, a pair of neighbouring agents on a square lattice convinces its six neighbours of the pair opinion if and only if the two agents of the pair share the same opinion. It differs from other consensus models of sociophysics (Deffuant et al., Hegselmann and Krause) by having integer opinions like ±1 instead of continuous opinions. The basic results and the progress since the last review are summarized here.

show abstract

Generalization to Square Lattice of Sznajd Sociophysics Model

Cited by 151 publications

References 4 publications

Consensus formation on a triad scale-free network

Consensus formation on a triad scale-free network

Some new results on one-dimensional outflow dynamics

How to Convince Others? Monte Carlo Simulations of the Sznajd Model

Contact Info

Product

Resources

About