Phase transitions and non-equilibrium relaxation in kinetic models of opinion formation

Biswas, Soumyajyoti; Chandra, Asit K.; Chatterjee, Arnab; Chakrabarti, Bikas K.

doi:10.1088/1742-6596/297/1/012004

Cited by 33 publications

(39 citation statements)

References 16 publications

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“…The variance of O shows a cusp near λ = 2/3. The growth behaviour of the fraction of agents p having extreme opinions o i = ±1 was found to be similar to O [59]. The relaxation time behaviour of the system shows a critical divergence of τ, τ ∼ |λ − λ c | −z for both O and p at λ = λ c = 2/3.…”

Section: Lccc Modelmentioning

confidence: 78%

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: Lccc Modelmentioning

confidence: 78%

Kinetic Exchange Models in Economics and Sociology

Goswami

Chakraborti

2015

Springer Proceedings in Mathematics &Amp; Statistics

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“…This model and approach is relevant to the work on modeling opinion formation as well, e.g., Ref. 139. The model of the wealth density was also presented here.…”

Section: Resultsmentioning

confidence: 99%

From the Physiocrats to Fairness in Nations

Adıgüzel

Flomenbom²,

Çoban

2017

Rep. Adv. Phys. Sci.

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In this review, work from three centuries of biophysical economics is presented, starting from the physiocrats' early work in biophysical economics in 1755, to the most recent modeling of modern societies with approaches from biophysics and physics, to explain the wealth distribution, opinions and power structures in societies and nations. At the same time, we are also dealing with generalizations, in particular, how to de¯ne and create fairness in nations. The general conclusions emphasize the strength of socio-econo-physics in explaining nations, also in comparison to the other approaches, due to the unbiased starting points and diversity in methods. The results emphasize that fairness is increased with citizens' activities that create smoother income distributions and improving the°ow of opportunities in the nation. Fairness also¯ghts unjust socio-economic biases and suggests advancing citizens-managed organizations.

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“…Generally speaking, previous models use fixed thresholds (Javarone & Squartini, 2014;Biswas et al, 2011;Li et al, 2012;Das, Gollapudi & Munagala, 2014;Li et al, 2013) or thresholds extracted from real-world examples (Galuba et al, 2010;Saito et al, 2011). However, there are a few models which use dynamic thresholds (Fang, Zhang & Thalmann, 2013;Deng, Liu & Xiong, 2013;Li et al, 2011), but their evolution is not driven by the internal states of the social agents.…”

Section: New Tolerance-based Opinion Modelmentioning

confidence: 99%

Tolerance-based interaction: a new model targeting opinion formation and diffusion in social networks

Topîrceanu

Udrescu

Vlăduţiu

et al. 2016

PeerJ Computer Science

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One of the main motivations behind social network analysis is the quest for understanding opinion formation and diffusion. Previous models have limitations, as they typically assume opinion interaction mechanisms based on thresholds which are either fixed or evolve according to a random process that is external to the social agent. Indeed, our empirical analysis on large real-world datasets such as Twitter, Meme Tracker, and Yelp, uncovers previously unaccounted for dynamic phenomena at population-level, namely the existence of distinct opinion formation phases and social balancing. We also reveal that a phase transition from an erratic behavior to social balancing can be triggered by network topology and by the ratio of opinion sources. Consequently, in order to build a model that properly accounts for these phenomena, we propose a new (individual-level) opinion interaction model based on tolerance. As opposed to the existing opinion interaction models, the new tolerance model assumes that individual's inner willingness to accept new opinions evolves over time according to basic human traits. Finally, by employing discrete event simulation on diverse social network topologies, we validate our opinion interaction model and show that, although the network size and opinion source ratio are important, the phase transition to social balancing is mainly fostered by the democratic structure of the small-world topology.

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Phase transitions and non-equilibrium relaxation in kinetic models of opinion formation

Cited by 33 publications

References 16 publications

Kinetic Exchange Models in Economics and Sociology

Kinetic Exchange Models in Economics and Sociology

From the Physiocrats to Fairness in Nations

Tolerance-based interaction: a new model targeting opinion formation and diffusion in social networks

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