A wealth distribution model with a non-Maxwellian collision kernel

doi:10.1088/1674-1056/ad3dc6

Abstract A non-Maxwellian collision kernel is employed to study the evolution of wealth distribution in a multi-agent society. The collision kernel divides agents into two different groups under certain conditions. Applying the kinetic theory of rarefied gases, we construct a two-group kinetic model for the evolution of wealth distribution. Under the continuous trading limit, the Fokker-Planck equation is derived and its steady-state solution is obtained. For the non-Maxwellian collision kernel, we find a suitable redistribution operator to match the taxation. Our results illustrate that taxation and redistribution have the property to change the Pareto index.

Keywords: kinetic theory non-Maxwellian collision kernel wealth distribution Pareto index

Received: 21 November 2023
Revised: 19 March 2024
Accepted manuscript online: 12 April 2024

PACS:	05.20.Dd	(Kinetic theory)
	89.65.Gh	(Economics; econophysics, financial markets, business and management)
	47.45.Ab	(Kinetic theory of gases)
	05.10.Gg	(Stochastic analysis methods)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11471263), the Natural Science Foundation of Xinjiang Uygur Autonomous Region, China (Grant No. 2021D01B09), the Initial Research Foundation of Kashi University (Grant No. 022024076), and “Mathematics and Finance Research Centre Funding Project”, Dazhou Social Science Federation (Grant No. SCMF202305).

Corresponding Authors: Xia Zhou
E-mail: xiazhou2017@163.com

Cite this article:

Jun Meng(孟俊), Xia Zhou(周霞), and Shaoyong Lai(赖绍永) A wealth distribution model with a non-Maxwellian collision kernel 2024 Chin. Phys. B 33 070501

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