中国物理B ›› 2024, Vol. 33 ›› Issue (7): 70501-070501.doi: 10.1088/1674-1056/ad3dc6
Jun Meng(孟俊)1, Xia Zhou(周霞)2,†, and Shaoyong Lai(赖绍永)3
Jun Meng(孟俊)1, Xia Zhou(周霞)2,†, and Shaoyong Lai(赖绍永)3
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.
中图分类号: (Kinetic theory)