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Noisy continuous–opinion dynamics (906).
| Content Provider | CiteSeerX |
|---|---|
| Author | Pineda, M. Toral, R. Hernández-García, E. |
| Abstract | Abstract. We study the Deffuant et al. model for continuous–opinion dynamics under the influence of noise. In the original version of this model, individuals meet in random pairwise encounters after which they compromise or not depending of a confidence parameter. Free will is introduced in the form of noisy perturbations: individuals are given the opportunity to change their opinion, with a given probability, to a randomly selected opinion inside the whole opinion space. We derive the master equation of this process. One of the main effects of noise is to induce an order-disorder transition. In the disordered state the opinion distribution tends to be uniform, while for the ordered state a set of well defined opinion groups are formed, although with some opinion spread inside them. Using a linear stability analysis we can derive approximate conditions for the transition between opinion groups and the disordered state. The master equation analysis is compared with direct Monte-Carlo simulations. We find that the master equation and the Monte-Carlo simulations do not always agree due to finite-size induced fluctuations that we analyze in some detail. |
| File Format | |
| Access Restriction | Open |
| Subject Keyword | Noisy Continuous Opinion Dynamic Opinion Group Disordered State Master Equation Approximate Condition Random Pairwise Encounter Whole Opinion Space Direct Monte-carlo Simulation Induced Fluctuation Opinion Distribution Order-disorder Transition Master Equation Analysis Linear Stability Analysis Confidence Parameter Monte-carlo Simulation Ordered State Continuous Opinion Dynamic Noisy Perturbation Main Effect Original Version |
| Content Type | Text |
| Resource Type | Article |