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A wealth distribution model with a non-Maxwellian collision kernel

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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.

kinetic theorynon-Maxwellian collision kernelwealth distributionPareto index

孟俊、周霞、赖绍永

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College of Mathematics and Statistics,Kashi University,Kashi 844006,China

College of Mathematics and Physics,Mianyang Teacher's College,Mianyang 621000,China

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

National Natural Science Foundation of ChinaNatural Science Foundation of Xinjiang Uygur Autonomous Region,ChinaInitial Research Foundation of Kashi UniversityMathematics and Finance Research Centre Funding ProjectDazhou Social Science Federation

114712632021D01B09022024076SCMF202305

2024

10.1088/1674-1056/ad3dc6

中国物理B(英文版)
中国物理学会和中国科学院物理研究所

中国物理B(英文版)

CSTPCDEI
影响因子：0.995
ISSN：1674-1056
年,卷(期)：2024.33(7)
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