A wealth distribution model with a non-Maxwellian collision kernel  

作　　者：孟俊 周霞 赖绍永 Jun Meng;Xia Zhou;Shaoyong Lai(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)

机构地区：[1]College of Mathematics and Statistics,Kashi University,Kashi 844006,China [2]College of Mathematics and Physics,Mianyang Teacher's College,Mianyang 621000,China [3]School of Mathematics,Southwestern University of Finance and Economics,Chengdu 611130,China

出　　处：《Chinese Physics B》2024年第7期224-231,共8页中国物理B（英文版）

基　　金：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);“Mathematics and Finance Research Centre Funding Project”,Dazhou Social Science Federation(Grant No.SCMF202305)。

摘　　要：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.

关 键 词：kinetic theory non-Maxwellian collision kernel wealth distribution Pareto index 

分 类 号：O411[理学—理论物理]