Year: 2025
Type: article
Abstract: We construct a kinetic model to investigate transactions among two populations from different countries. In our model, power collision kernels and a transfer operator are introduced into the Boltzmann equation. Through the method of continuous trading limits, we derive the Fokker-Planck equations and find their entropy steady-state solutions for two special cases. Numerical experiments are provided to illustrate our results under different parameters. The conclusion shows that the increase of agents' trading willingness and the decrease of agents' transaction rate (the increase of saving rate) narrow the gap in agents' wealth. If there is a significant disparity in the trading willingness between agents from the two countries, the overall wealth distribution exhibits a bimodal distribution pattern.
Source: Entropy
DOI: 10.3390/e27121209
Authors: Rongmei Sun, Shaoyong Lai, Xia Zhou
Institution: Southwestern University of Finance and Economics
Language: English
Subfield: Economics and Econometrics
Domain: Social Sciences
Open Access status: gold
Estimated APC paid: $3,137
OpenAlex ID: W4416843948