Role of conviction in nonequilibrium models of opinion formation

Abstract

We analyze the critical behavior of a class of discrete opinion models in the presence of disorder. Within this class, each agent opinion takes a discrete value (± 1 or 0) and its time evolution is ruled by two terms, one representing agent-agent interactions and the other the degree of conviction or persuasion (a self-interaction). The mean-field limit, where each agent can interact evenly with any other, is considered. Disorder is introduced in the strength of both interactions, with either quenched or annealed random variables. With probability p (1-p), a pairwise interaction reflects a negative (positive) coupling, while the degree of conviction also follows a binary probability distribution (two different discrete probability distributions are considered). Numerical simulations show that a nonequilibrium continuous phase transition, from a disordered state to a state with a prevailing opinion, occurs at a critical point p(c) that depends on the distribution of the convictions, with the transition being spoiled in some cases. We also show how the critical line, for each model, is affected by the update scheme (either parallel or sequential) as well as by the kind of disorder (either quenched or annealed).

The influence of persuasion in opinion formation and polarization

“…(16). Expression (17) captures the qualitative behavior of the magnetization, which approaches to |m| = 1 as…”

“…Besides, persuasion was used in recent works [16,17] as a degree of a person's self-conviction, where in addition to the influence from others, a person takes into account its own opinion when making a decision. Also, persuasion between opposite-orientation agents was recently studied in [15].…”

Competition of Dynamic Self-Confidence and Inhomogeneous Individual Influence in Voter Models

“…where i C represents agent i's confidence level, meaning agents have the tendency to maintain their original opinions [36]. The parameter ij  denotes neighbor's influence with values of +1 or -1 for a given probability.…”

“…For the discrete case [36], each agent has one of several opinions, and the parameters are also renormalized to discrete values. In an update event, an agent i's opinion evolves as:…”

Efeitos Da Aleatoriedade Da Rede De Contatos Em Dinâmicas De Múltiplas Escolhas

“…As transições são governadas por uma regra apropriada ao problema de interesse; nosúltimos anos diversas regras foram propostas na literatura [4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23].…”