Statistical ensembles for money and debt

Stefano Viaggiu, Andrea Lionetto, Leonardo Bargigli and Michele Longo

Papers from arXiv.org

Abstract: We build a statistical ensemble representation of two economic models describing respectively, in simplified terms, a payment system and a credit market. To this purpose we adopt the Boltzmann-Gibbs distribution where the role of the Hamiltonian is taken by the total money supply (i.e. including money created from debt) of a set of interacting economic agents. As a result, we can read the main thermodynamic quantities in terms of monetary ones. In particular, we define for the credit market model a work term which is related to the impact of monetary policy on credit creation. Furthermore, with our formalism we recover and extend some results concerning the temperature of an economic system, previously presented in the literature by considering only the monetary base as conserved quantity. Finally, we study the statistical ensemble for the Pareto distribution.

Date: 2011-09, Revised 2012-07
New Economics Papers: this item is included in nep-mon
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Citations: View citations in EconPapers (3)

Published in Physica A 391/21 (2012), pp. 4839-4849

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Journal Article: Statistical ensembles for money and debt (2012)
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Persistent link: https://EconPapers.repec.org/RePEc:arx:papers:1109.0891

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