Kinteic models of wealth distribution incorporating non-Maxwellian collision kernel and value function

A kinetic model of wealth incorporating a non-Maxwellian collision kernel and a value function is investigated. The non-Maxwellian collision kernel describes the variable transaction frequency between agents, which is related to their wealth. A value function describing psychological characteristics is embedded into the interaction rules, and the resulting Boltzmann equation, incorporating the non-Maxwellian collision kernel, is used to analyze the evolutionary dynamics of wealth distribution.