A kinetic description of the goods exchange market allowing transfer of agents

doi:10.1088/1674-1056/ada54a

中国物理B ›› 2025, Vol. 34 ›› Issue (3): 30502-030502.doi: 10.1088/1674-1056/ada54a

A kinetic description of the goods exchange market allowing transfer of agents

Rongmei Sun(孙溶镁)† and Daixin Wang(汪代薪)

School of Mathematics, Southwestern University of Finance and Economics, Chengdu 611130, China

收稿日期:2024-10-18 修回日期:2024-12-01 接受日期:2025-01-03 发布日期:2025-03-15
通讯作者: Rongmei Sun E-mail:sunrongmei@smail.swufe.edu.cn

A kinetic description of the goods exchange market allowing transfer of agents

Rongmei Sun(孙溶镁)† and Daixin Wang(汪代薪)

School of Mathematics, Southwestern University of Finance and Economics, Chengdu 611130, China

Received:2024-10-18 Revised:2024-12-01 Accepted:2025-01-03 Published:2025-03-15
Contact: Rongmei Sun E-mail:sunrongmei@smail.swufe.edu.cn

摘要/Abstract

摘要： In order to avoid the worsening of wealth inequality, it is necessary to explore the influencing factors of wealth distribution and discuss measures to reduce wealth inequality. We investigate the wealth distribution in the goods exchange market by using the kinetic theory of rarefied gas. The trading objects are two kinds of commodities (commodities A and B) and the trading subjects are agents of two groups (dealers and speculators). We deduce the interaction rules according to the principle of utility maximization and consider the transfer of agents in the Boltzmann equation. The steady solution of the Fokker-Planck equation for a special case is obtained and the effects of trading strategy and transfer frequency on the steady distribution are analyzed in numerical experiments. The conclusions illustrate that the transfer of agents is conducive to reducing the inequality of wealth distribution.

关键词: kinetic model, goods exchange, Boltzmann equation, Fokker-Planck equation

Abstract: In order to avoid the worsening of wealth inequality, it is necessary to explore the influencing factors of wealth distribution and discuss measures to reduce wealth inequality. We investigate the wealth distribution in the goods exchange market by using the kinetic theory of rarefied gas. The trading objects are two kinds of commodities (commodities A and B) and the trading subjects are agents of two groups (dealers and speculators). We deduce the interaction rules according to the principle of utility maximization and consider the transfer of agents in the Boltzmann equation. The steady solution of the Fokker-Planck equation for a special case is obtained and the effects of trading strategy and transfer frequency on the steady distribution are analyzed in numerical experiments. The conclusions illustrate that the transfer of agents is conducive to reducing the inequality of wealth distribution.

Key words: kinetic model, goods exchange, Boltzmann equation, Fokker-Planck equation

中图分类号: (Kinetic theory)

05.20.Dd

51.10.+y (Kinetic and transport theory of gases) 05.20.-y (Classical statistical mechanics) 05.10.Gg (Stochastic analysis methods)

Rongmei Sun(孙溶镁) and Daixin Wang(汪代薪). A kinetic description of the goods exchange market allowing transfer of agents[J]. 中国物理B, 2025, 34(3): 30502-030502.

Rongmei Sun(孙溶镁) and Daixin Wang(汪代薪). A kinetic description of the goods exchange market allowing transfer of agents[J]. Chin. Phys. B, 2025, 34(3): 30502-030502.

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