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SYOF: Symposium Dynamics of Opinion Formation – From Quorum Sensing to Polarization

SYOF 1: Dynamics of Opinion Formation – From Quorum Sensing to Polarization

SYOF 1.5: Invited Talk

Monday, March 27, 2023, 11:45–12:15, HSZ 01

Extreme switches in kinetic exchange models of opinion. — •Parongama Sen1 and Kathakali Biswas21Department of Physics, University of Calcutta, 92 APC Road, Kolkata 700009, India — 2Department of Physics, Victoria Institution, 78B APC Road, Kolkata 700009, India

We consider a kinetic exchange opinion formation model, where the opinions can take three discrete values represented by ± 1,0. Such states may represent the support for two candidates/parties and a neutral opinion or three different ideologies where ± 1 correspond to radically different ones. We take a finite probability to switch from +1 to -1 and vice versa, which is usually not considered in similar models studied earlier. Except for initially completely disordered states, consensus states are reached for this model in general. Subsequently, a noise is incorporated by making the interactions both positive and negative. An order-disorder phase transition is obtained for this two parameter model. We discuss the critical properties and dynamical behaviour of the model in a mean field approach where results can be obtained analytically. Although the effect of the negative interactions is stronger, the extreme switches alone determine the nature of the disordered phase. As the extreme switches are allowed with larger probability, the system tends to a polarisation. For the maximum possible extreme switch, the system becomes identical to a two state voter model after a transient time.

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