Mean-field solutions of kinetic-exchange opinion models

Biswas, Soumyajyoti

doi:10.1103/physreve.84.056106

Cited by 52 publications

(73 citation statements)

References 32 publications

(58 reference statements)

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“…Apart from the two-agent or binary interaction, the three-agent interaction were also taken into account. While the phase diagram of the two-agent interaction led to a continuous transition line, the three-agent interaction showed a discontinuous transition [61].…”

Section: Discrete Lccc Modelmentioning

confidence: 94%

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Kinetic Exchange Models in Economics and Sociology

Goswami

Chakraborti

2015

Springer Proceedings in Mathematics &Amp; Statistics

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In this article, we briefly review the different aspects and applications of kinetic exchange models in economics and sociology. Our main aim is to show in what manner the kinetic exchange models for closed economic systems were inspired by the kinetic theory of gas molecules. The simple yet powerful framework of kinetic theory, first proposed in 1738, led to the successful development of statistical physics of gases towards the end of the 19th century. This framework was successfully adapted to modeling of wealth distributions in the early 2000's. In later times, it was applied to other areas like firm dynamics and opinion formation in the society, as well. We have tried to present the flavour of the several models proposed and their applications, intentionally leaving out the intricate mathematical and technical details.

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Section: Discrete Lccc Modelmentioning

confidence: 94%

“…This particular version of the LCCC model was exactly solved [61], which also showed an "activeabsorbing phase transition" as was seen in the continuous version [57,58]. Apart from the two-agent or binary interaction, the three-agent interaction were also taken into account.…”

Section: Discrete Lccc Modelmentioning

confidence: 99%

Kinetic Exchange Models in Economics and Sociology

Goswami

Chakraborti

2015

Springer Proceedings in Mathematics &Amp; Statistics

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“…Our model is based on kinetic exchange opinion models (KEOM's) 11,12,13,19,20 . A population of N agents is defined on a fully-connected graph, i.e., each agent can interact with all others, which characterizes a mean-field-like scheme.…”

Section: Modelmentioning

confidence: 99%

“…Among typical problems of interest in social models, we highlight the dynamics of opinion formation 4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21 . Recently, the impact of nonconformity in opinion dynamics has been atracted attention of physicists, with many works published 4,5,6,7,8,9 .…”

Section: Introductionmentioning

confidence: 99%

Noise and disorder: Phase transitions and universality in a model of opinion formation

Crokidakis

2016

Int. J. Mod. Phys. C

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In this work we study a 3-state opinion formation model considering two distinct mechanisms, namely independence and conviction. Independence is introduced in the model as a noise, by means of a probability of occurrence q. On the other hand, conviction acts as a disorder in the system, and it is introduced by two discrete probability distributions. We analyze the effects of such two mechanisms on the phase transitions of the model, and we found that the critical exponents are universal over the order-disorder frontier, presenting the same universality class of the mean-field Ising model. In addition, for one of the probability distributions the transition may be eliminated for a wide range of the parameters.

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“…15 The discretised version of the LCCC model has also been solved exactly 16 which also shows an activeabsorbing phase transition as was seen in the continuous version and the idea of bounded con¯dence has also been implemented. 17 The percolation transition has also been studied on this model in two dimension.…”

Section: Introductionmentioning

confidence: 99%

Diffusion Controlled Model of Opinion Dynamics

Chandra

Basu

2017

Rep. Adv. Phys. Sci.

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We have studied the e®ect of di®usion controlled opinion dynamics on a ring lattice where agents are placed on a fraction of sites. We have chosen the di®usion on a circular ring as a simple model to study emphasizing on the fact that agents approach their nearest neighbor for exchanging opinion. The agents execute simple exclusion process (SEP) on the ring and exchange opinion with neighboring agents according to a¯xed rule. Our study shows that as agent density decreases, higher conviction power is necessary to create consensus. We have also investigated the nature of active-to-absorbing state phase transition for various densities and found that there are two universality classes for density ¼ 1 and < 1.

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Mean-field solutions of kinetic-exchange opinion models

Cited by 52 publications

References 32 publications

Kinetic Exchange Models in Economics and Sociology

Kinetic Exchange Models in Economics and Sociology

Noise and disorder: Phase transitions and universality in a model of opinion formation

Diffusion Controlled Model of Opinion Dynamics

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