We review the main results on some basic kinetic models for wealth distribution in a simple market economy, with interaction rules involving random variables to take into account effects due to market risks. Then, we investigate in more detail long time behavior of a model which includes the taxation phenomenon and the redistribution of collected wealth according to proper criterions. Finally, we propose a new class of kinetic equations in which agent's trading propensity varies according to the personal amount of wealth.
Some kinetic models for a market economy / Bisi, Marzia. - In: BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA. - ISSN 1972-6724. - 10:1(2017), pp. 143-158. [10.1007/s40574-016-0099-4]