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Statistical equilibrium in simple exchange games I

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  • E. Scalas

    ()

  • U. Garibaldi
  • S. Donadio

Abstract

Simple stochastic exchange games are based on random allocation of finite resources. These games are Markov chains that can be studied either analytically or by Monte Carlo simulations. In particular, the equilibrium distribution can be derived either by direct diagonalization of the transition matrix, or using the detailed balance equation, or by Monte Carlo estimates. In this paper, these methods are introduced and applied to the Bennati-Dragulescu-Yakovenko (BDY) game. The exact analysis shows that the statistical-mechanical analogies used in the previous literature have to be revised. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2006

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Bibliographic Info

Article provided by Springer in its journal The European Physical Journal B - Condensed Matter and Complex Systems.

Volume (Year): 53 (2006)
Issue (Month): 2 (09)
Pages: 267-272

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Handle: RePEc:spr:eurphb:v:53:y:2006:i:2:p:267-272

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Keywords: 89.65.Gh Economics; econophysics; financial markets; business and management; 02.50.Cw Probability theory;

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References

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  1. McCauley, Joseph L., 2006. "Response to worrying trends in econophysics," MPRA Paper 2129, University Library of Munich, Germany.
  2. Bottazzi, Giulio & Dosi, Giovanni & Fagiolo, Giorgio & Secchi, Angelo, 2008. "Sectoral and geographical specificities in the spatial structure of economic activities," Structural Change and Economic Dynamics, Elsevier, vol. 19(3), pages 189-202, September.
  3. Gallegati, Mauro & Keen, Steve & Lux, Thomas & Ormerod, Paul, 2006. "Worrying trends in econophysics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 370(1), pages 1-6.
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Cited by:
  1. Simone Landini & Mariacristina Uberti, 2008. "A Statistical Mechanic View of Macro-dynamics in Economics," Computational Economics, Society for Computational Economics, vol. 32(1), pages 121-146, September.
  2. Victor M. Yakovenko & J. Barkley Rosser, 2009. "Colloquium: Statistical mechanics of money, wealth, and income," Papers 0905.1518, arXiv.org, revised Dec 2009.
  3. 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(4), pages 1-31.
  4. Bertram Düring & Daniel Matthes & Giuseppe Toscani, 2008. "A Boltzmann-type Approach to the Formation of Wealth Distribution Curves," CoFE Discussion Paper 08-05, Center of Finance and Econometrics, University of Konstanz.
  5. Scalas, Enrico & Garibaldi, Ubaldo, 2009. "A Dynamic Probabilistic Version of the Aoki-Yoshikawa Sectoral Productivity Model," Economics - The Open-Access, Open-Assessment E-Journal, Kiel Institute for the World Economy, vol. 3(15), pages 1-10.
  6. Anirban Chakraborti & Ioane Muni Toke & Marco Patriarca & Frédéric Abergel, 2011. "Econophysics: agent-based models," Post-Print hal-00621059, HAL.

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