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Statistical ensembles for money and debt

  • Viaggiu, Stefano
  • Lionetto, Andrea
  • Bargigli, Leonardo
  • Longo, Michele

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 a conserved quantity. Finally, we study the statistical ensemble for the Pareto distribution.

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Article provided by Elsevier in its journal Physica A: Statistical Mechanics and its Applications.

Volume (Year): 391 (2012)
Issue (Month): 20 ()
Pages: 4839-4849

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Handle: RePEc:eee:phsmap:v:391:y:2012:i:20:p:4839-4849
Contact details of provider: Web page: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/

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  1. repec:cup:cbooks:9780521674096 is not listed on IDEAS
  2. Brock,W.A. & Durlauf,S.N., 2000. "Discrete choice with social interactions," Working papers 7, Wisconsin Madison - Social Systems.
  3. repec:cup:cbooks:9780521831062 is not listed on IDEAS
  4. Chakrabarti, Anindya S. & Chakrabarti, Bikas K., 2010. "Statistical theories of income and wealth distribution," Economics - The Open-Access, Open-Assessment E-Journal, Kiel Institute for the World Economy, vol. 4, pages 1-31.
  5. repec:cup:cbooks:9780521857406 is not listed on IDEAS
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