中国物理B ›› 2026, Vol. 35 ›› Issue (8): 80506-080506.doi: 10.1088/1674-1056/ae3db8

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

Xue Xia(夏雪)1, Yuhan Zhang(张语涵)2, Zhengwen Li(李政文)1,†   

  1. 1 School of Mathematics, Aba Teachers College, Wenchuan 623002, China;
    2 School of Mathematics, Southwestern University of Finance and Economics, Chengdu 611130, China
  • 收稿日期:2025-09-05 修回日期:2026-01-23 接受日期:2026-01-27 发布日期:2026-08-06
  • 通讯作者: Zhengwen Li E-mail:285057531@qq.com

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

Xue Xia(夏雪)1, Yuhan Zhang(张语涵)2, Zhengwen Li(李政文)1,†   

  1. 1 School of Mathematics, Aba Teachers College, Wenchuan 623002, China;
    2 School of Mathematics, Southwestern University of Finance and Economics, Chengdu 611130, China
  • Received:2025-09-05 Revised:2026-01-23 Accepted:2026-01-27 Published:2026-08-06
  • Contact: Zhengwen Li E-mail:285057531@qq.com

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摘要： 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.

关键词: kinetic model, non-Maxwellian collision kernel, value function

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.

Key words: kinetic model, non-Maxwellian collision kernel, value function, wealth distribution

中图分类号:  (Kinetic theory)

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