Kinteic models of wealth distribution incorporating non-Maxwellian collision kernel and value function

doi:10.1088/1674-1056/ae3db8

Abstract A kinetic model of wealth incorporating a non-Maxwellian collision kernel and a value function is investigated. The non-Maxwellian collision kernel describes the variable transaction frequency between agents, which is related to their wealth. A value function describing psychological characteristics is embedded into the interaction rules, and the resulting Boltzmann equation, incorporating the non-Maxwellian collision kernel, is used to analyze the evolutionary dynamics of wealth distribution.

Keywords: kinetic model non-Maxwellian collision kernel value function wealth distribution

Received: 05 September 2025
Revised: 23 January 2026
Accepted manuscript online: 27 January 2026

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)

Corresponding Authors: Zhengwen Li
E-mail: 285057531@qq.com

Cite this article:

Xue Xia(夏雪), Yuhan Zhang(张语涵), Zhengwen Li(李政文) Kinteic models of wealth distribution incorporating non-Maxwellian collision kernel and value function 2026 Chin. Phys. B 35 080506

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Kinteic models of wealth distribution incorporating non-Maxwellian collision kernel and value function

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