Wealth Distribution Involving Psychological Traits and Non-Maxwellian Collision Kernel.

A kinetic exchange model is developed to investigate wealth distribution in a market. The model incorporates a value function that captures the agents' psychological traits, governing their wealth allocation based on behavioral responses to perceived potential losses and returns. To account for the impact of transaction frequency on wealth dynamics, a non-Maxwellian collision kernel is introduced.

On the Analysis of Wealth Distribution in the Context of Infectious Diseases.

A mathematical model is established to investigate the economic effects of infectious diseases. The distribution of wealth among two types of agents in the context of the epidemic is discussed. Using the method of statistical mechanics, the evolution of the entropy weak solutions for the model of the susceptible and the infectious involving wealth density functions is analyzed.

Wealth exchange and decision-making psychology in epidemic dynamics.

A binary wealth exchange mechanism, which involves the influence of the epidemic environment and agents' psychology on trading decisions, is introduced to discuss the wealth distribution of agents under the background of an epidemic. We find that the trading psychology of agents may affect wealth distribution and make the tail of the steady-state wealth distribution slimmer. The steady-state wealth distribution displays a bimodal shape under appropriate parameters.