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Some kinetic models for a market economy

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Abstract

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.

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Acknowledgments

This work has been performed in the frame of activities sponsored by INdAM-GNFM and by the University of Parma. Some of the results contained in this paper have been presented in a talk at the Conference of UMI, held at Siena (Italy) in September 2015.

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  1. Dip. di Matematica e Informatica, Università di Parma, Parco Area delle Scienze 53/A, 43124, Parma, Italy

    Marzia Bisi

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  1. Marzia Bisi
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Correspondence to Marzia Bisi.

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Bisi, M. Some kinetic models for a market economy. Boll Unione Mat Ital 10, 143–158 (2017). https://doi.org/10.1007/s40574-016-0099-4

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