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Article

Economic Segregation Under the Action of Trading Uncertainties

by 1,†, 1,†, 2,†, 3,† and 2,*,†
1
PhD Program in Computational Mathematics and Decision Sciences, University of Pavia, 27100 Pavia, Italy
2
Department of Mathematics, University of Pavia, 27100 Pavia, Italy
3
Department of Political and Social Sciences, University of Pavia, 27100 Pavia, Italy
*
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Symmetry 2020, 12(9), 1390; https://doi.org/10.3390/sym12091390
Received: 31 July 2020 / Revised: 17 August 2020 / Accepted: 19 August 2020 / Published: 20 August 2020
We study the distribution of wealth in a market economy in which the trading propensity of the agents is uncertain. Our approach is based on kinetic models for collective phenomena, which, at variance with the classical kinetic theory of rarefied gases, has to face the lack of fundamental principles, which are replaced by empirical social forces of which we have at most statistical information. The proposed kinetic description allows recovering emergent wealth distribution profiles, which are described by the steady states of a Fokker–Planck-type equation with uncertain parameters. A statistical study of the stationary profiles of the Fokker–Planck equation then shows that the wealth distribution can develop a multimodal shape in the presence of observable highly stressful economic situations. View Full-Text
Keywords: kinetic models of wealth distribution; Fokker–Planck-type equations; kinetic models of opinion formation; uncertain parameters kinetic models of wealth distribution; Fokker–Planck-type equations; kinetic models of opinion formation; uncertain parameters
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MDPI and ACS Style

Ballante, E.; Bardelli, C.; Zanella, M.; Figini, S.; Toscani, G. Economic Segregation Under the Action of Trading Uncertainties. Symmetry 2020, 12, 1390. https://doi.org/10.3390/sym12091390

AMA Style

Ballante E, Bardelli C, Zanella M, Figini S, Toscani G. Economic Segregation Under the Action of Trading Uncertainties. Symmetry. 2020; 12(9):1390. https://doi.org/10.3390/sym12091390

Chicago/Turabian Style

Ballante, Elena, Chiara Bardelli, Mattia Zanella, Silvia Figini, and Giuseppe Toscani. 2020. "Economic Segregation Under the Action of Trading Uncertainties" Symmetry 12, no. 9: 1390. https://doi.org/10.3390/sym12091390

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