The Study of a Wealth Distribution Model with a Linear Collision Kernel
Open Access
- 13 September 2021
- journal article
- research article
- Published by Hindawi Limited in Mathematical Problems in Engineering
- Vol. 2021, 1-11
- https://doi.org/10.1155/2021/2142876
Abstract
The wealth substitution rate, which describes the substitution relationship between agents’ investment in wealth, is introduced into the collision kernel of the Boltzmann equation to study wealth distribution. Using the continuous trading limit, the Fokker–Planck equation is derived and the steady-state solution is obtained. The results show that the inequality of wealth distribution decreases as the wealth substitution rate increases under certain assumptions. The wealth distribution has a bimodal shape if the wealth substitution rate does not equal one.Keywords
Funding Information
- National Natural Science Foundation of China (11471263, JBK2107111)
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