Gossip-Based Model for Opinion Dynamics with Probabilistic Group Interactions

In complex systems, agents often interact with others in two distinct types of interactions, pairwise interaction and group interaction. The Deffuant–Weisbuch model adopting pairwise interaction and the Hegselmann–Krause model adopting group interaction are the two most widely studied opinion dynamics. In this study, we propose a novel opinion dynamics by combining pairwise and group interactions for agents and study the effects of the combination on consensus in the population. In the model, we introduce a parameter α to control the weights of the two interactions in the dynamics. Through numerical simulations, we find that there exists an optimal α , which can lead to a highest probability of complete consensus and minimum critical bounded confidence for the formation of consensus. Furthermore, we show the effects of α on opinion formation by presenting the observations for opinion clusters. Moreover, we check the robustness of the results on different network structures and find the promotion of opinion consensus by α not limited to a complete graph.

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Opinion Dynamics via a Gossip Algorithm with Asynchronous Group Interactions

Proceedings of the ISCIE International Symposium on Stochastic Systems Theory and its Applications ◽

10.5687/sss.2019.99 ◽

2019 ◽

Vol 2019 (0) ◽

pp. 99-102

Author(s):

Emerico Aguilar ◽

Yasumasa Fujisaki

Keyword(s):

Opinion Dynamics ◽

Group Interactions ◽

Gossip Algorithm

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Aberrant Sensorimotor Integration in Musicians' Cramp Patients

Journal of Psychophysiology ◽

10.1027/0269-8803.17.4.195 ◽

2003 ◽

Vol 17 (4) ◽

pp. 195-202 ◽

Cited By ~ 3

Author(s):

Vanessa K. Lim ◽

John L. Bradshaw ◽

Michael E.R. Nicholls ◽

Ian J. Kirk ◽

Jeff P. Hamm ◽

...

Keyword(s):

Movement Disorder ◽

Sensorimotor Cortex ◽

Sensorimotor Integration ◽

Group Interaction ◽

Focal Dystonia ◽

The Other ◽

Alpha Power ◽

Significant Group ◽

Group Interactions

AbstractSimple tapping and complex movements (Luria finger apposition task) were performed unimanually and bimanually by two groups of professional guitarists while EEG was recorded from electrodes over the sensorimotor cortex. One group had a task-specific movement disorder (focal dystonia or musicians' cramp), while the other group did not (controls). There were no significant group interactions in the task-related power (TRPow) within the alpha range of 8-10Hz (mu1). In contrast, there was a significant group interaction within the alpha range of 10-12Hz (mu2); these latter frequencies are associated with task-specific sensorimotor integration. The significant group interaction included task (simple and complex) by hand (left, right, and both) by electrodes (10 electrodes over the sensorimotor areas). In the rest conditions, the alpha power (10-12Hz) was comparable between the groups; during movement, however, compared to the controls, patients demonstrated the greatest TRPow (10-12Hz) over all conditions. This was particularly evident when patients used their affected hand and suggests that patients with musicians' cramp have impaired task-specific sensorimotor integration.

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