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Statistical mechanics approach to the probability distribution of money

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  • Victor M. Yakovenko

Abstract

This Chapter reviews statistical models for the probability distribution of money developed in the econophysics literature since the late 1990s. In these models, economic transactions are modeled as random transfers of money between the agents in payment for goods and services. Starting from the initially equal distribution of money, the system spontaneously develops a highly unequal distribution of money analogous to the Boltzmann-Gibbs distribution of energy in physics. Boundary conditions are crucial for achieving a stationary distribution. When debt is permitted, it destabilizes the system, unless some sort of limit is imposed on maximal debt.

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  • Victor M. Yakovenko, 2010. "Statistical mechanics approach to the probability distribution of money," Papers 1007.5074, arXiv.org.
    • Handle: RePEc:arx:papers:1007.5074
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    File URL: http://arxiv.org/pdf/1007.5074
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    Cited by:

    1. Eduardo Ferraciolli & Tanya Araújo, 2023. "Agent-based Modeling and the Sociology of Money: a Framework for the Study of Coordination and Plurality," Working Papers REM 2023/0285, ISEG - Lisbon School of Economics and Management, REM, Universidade de Lisboa.

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