Disorder induced phase transition in kinetic models of opinion dynamics

Biswas, Soumyajyoti; Chatterjee, Arnab; Sen, Parongama

doi:10.1016/j.physa.2012.01.046

Cited by 105 publications

(236 citation statements)

References 45 publications

(52 reference statements)

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“…The KCOD model [14] is defined by a set of individuals with continuous opinion variables o i (t), where the opinion of a person i at time t, takes the values in the interval [−1, +1], is situated on every node of the (4,6,12) and (4, 8 2 ) AL with N = 12L 2 sites for (4,6,12) and N = 4L 2 sites for (4, 8 2 ). In a population of N individuals, opinions change out of pair-wise interactions via mutual influences/couplings µ ij as: The pairs i, j are unrestricted, meaning the original model is defined on a fully-connected graph, giving a mean-field-like limit (infinite range interactions).…”

Section: Definition and Simulationmentioning

confidence: 99%

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Kinetic Continuous Opinion Dynamics Model on Two Types of Archimedean Lattices

Lima

2017

Front. Phys.

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Here, the critical properties of kinetic continuous opinion dynamics model are studied on (4, 6, 12) and (4, 8 2 ) Archimedean lattices. We obtain p c and the critical exponents from Monte Carlo simulations and finite size scaling. We found out the values of the critical points and Binder cumulant that are p c = 0.086(3) and O * 4 = 0.59(2) for (4, 6, 12); and p c = 0.109(3) and O * 4 = 0.606 (5) for (4, 8 2 ) lattices and also the exponent ratios β/ν, γ /ν, and 1/ν are, respectively: 0.23(7), 1.43(5), and 0.60(3) for (4, 6, 12); and 0.149(4), 1.56(4), and 0.94(4) for (4, 8 2 ) lattices. Our new results disprove of the Grinstein criterion.

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Section: Definition and Simulationmentioning

confidence: 99%

“…In 2012 Biswas et al [14] proposed a kinetic model of opinion formation. This model kinetic continuous opinion dynamics (KCOD) presents mutual interactions between the individual i, j that can be both positive and negative.…”

Section: Introductionmentioning

confidence: 99%

Kinetic Continuous Opinion Dynamics Model on Two Types of Archimedean Lattices

Lima

2017

Front. Phys.

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“…In this model of continuous opinion dynamics, both positive and negative mutual interactions were studied [62]. The interaction equations are as follows :…”

Section: Disorder Induced Phase Transition In Kinetic Exchange Modelsmentioning

confidence: 99%

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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“…The kinetic opinion model [25] has often been applied in social and economic systems to describe consensus formation or information diffusion. The kinetic opinion model has two parameters, considering agent's self-confidence and neighbors' influence [26].…”

Section: Introductionmentioning

confidence: 99%

Competition of Dynamic Self-Confidence and Inhomogeneous Individual Influence in Voter Models

Xiong

Liu

Zhu

2013

Entropy

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Abstract:In social systems, agents often have different ability to persuade neighbors to adopt their opinions. In this paper, we aim to investigate how the location and heterogeneity of influencers in social networks can improve convergence. We propose a voter model with dynamic self-conviction and heterogeneous individual influence which is related to the underlying network topology. An agent may keep its current opinion according to personal conviction, or otherwise, it may preferentially choose the opinion of the neighbor that has a great influence. Individual conviction evolves during the dynamic process, and can be strengthened by social recognition. Simulations indicate our model has three nontrivial results. First, the conservation of average magnetization in the voter model is broken under the effect of individual conviction and influence, and the system evolves to an ordered state in which one opinion is dominant, but total consensus is prevented by extremists. Furthermore, individual influence has a subtle action on opinion evolution. The heterogeneity of individual influence accelerates the relaxation process, but, with the action of dynamic conviction, more heterogeneous influence does not mean the average magnetization will be more ordered. In addition, when competing with agents' conviction, more heterogeneous individual influence plays a more significant role in agents' decisions. These results are helpful for understanding some aspects of collective phenomena that occur on online social media. OPEN ACCESSEntropy 2013, 15 5293

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Disorder induced phase transition in kinetic models of opinion dynamics

Cited by 105 publications

References 45 publications

Kinetic Continuous Opinion Dynamics Model on Two Types of Archimedean Lattices

Kinetic Continuous Opinion Dynamics Model on Two Types of Archimedean Lattices

Kinetic Exchange Models in Economics and Sociology

Competition of Dynamic Self-Confidence and Inhomogeneous Individual Influence in Voter Models

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