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Statistical equilibrium in simple exchange games I

Methods of solution and application to the Bennati-Dragulescu-Yakovenko (BDY) game

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An Erratum to this article was published on 01 November 2007

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.

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References

  • T.M. Liggett, Interacting Particle Systems (Springer, Berlin, 1985)

  • J. Angle, Social Forces 65, 293 (1986)

    Article  Google Scholar 

  • J. Angle, J. Math. Soc. 21, 325 (1996)

    Article  MATH  Google Scholar 

  • J. Angle, J. Math. Soc. 26, 217 (2002)

    Article  MATH  Google Scholar 

  • E. Bennati, Rivista Internazionale di Scienze Economiche e Commerciali 35, 735 (1988)

    Google Scholar 

  • E. Bennati, Rassegna di Lavori dell'ISCO, Anno X, No. 4, 31 (1993)

    Google Scholar 

  • A. Dragulescu, V.M. Yakovenko, Eur. Phys. J. B 17, 723 (2000)

    Article  ADS  Google Scholar 

  • D. Costantini, U. Garibaldi, Synthese 139, 107 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  • L. Boltzmann, Studien über das Gleichgewicht der lebendingen Kraft zwischen bewegten materielle Punkten (1868) in Wissenschaftliche Abhandlungen, Vol. I, edited by F. Hasenhörl, Leipzig, Barth, pp. 49–96 (1909)

  • A. Bach, Archive for History of Exact Sciences 41, 1 (1990)

    MATH  MathSciNet  Google Scholar 

  • D. Costantini, U. Garibaldi, Stud. Hist. Phil. Mod. Phys. 28, 483 (1997)

    Article  MathSciNet  Google Scholar 

  • B.M. Hill, Jour. Am. Stat. Ass. 69, 1017 (1977)

    Article  Google Scholar 

  • T. Lux, Emergent statistical wealth distributions in simple monetary exchange models: A critical review, in Econophysics of Wealth Distribution, edited by A. Chatterjee, S. Yarlagadda, B.K. Chakrabarti (Springer, Berlin, 2005)

  • M. Gallegati, S. Keen, T. Lux, P. Ormerod, Worrying Trends in Econophysics, working paper, 2006

  • J. Angle, A Comment on Gallegati et al.'s “Worrying Trends in Econophysics”, working paper, 2006

  • J. McCauley, Response to “Worrying Trends in Econophysics”, working paper, 2006

  • J. Angle, 367, 388 (2006)

  • J. Silver, E. Slud, K. Takamoto, J. Economic Theory 106, 417 (2002)

    Article  MATH  MathSciNet  Google Scholar 

  • H. Föllmer, U. Horst, A. Kirman, J. Math. Economics 41, 123 (2005)

    Article  MATH  Google Scholar 

  • G. Bottazzi, G. Dosi, G. Fagiolo, A. Secchi, Sectoral and Geographical Specificities in the Spatial Structure of Economic Activities, Scuola Superiore S. Anna, LEM Working Paper 2004/21, (2004)

  • D.K. Foley, J. Economic Theory 62, 321 (1994)

    Article  MATH  MathSciNet  Google Scholar 

  • J. McCauley, Dynamics of Markets: Econophysics and Finance (Cambridge University Press, Cambridge, UK, 2004)

Download references

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Authors and Affiliations

  1. Department of Advanced Sciences and Technology, Laboratory on Complex Systems, East Piedmont University, via Bellini 25 g, 15100, Alessandria, Italy

    E. Scalas

  2. IMEM-CNR, Physics Department, Genoa University, via Dodecaneso 33, 16146, Genoa, Italy

    U. Garibaldi

  3. INFN, Physics Department, Genoa University, via Dodecaneso 33, 16146, Genoa, Italy

    S. Donadio

Authors
  1. E. Scalas
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  2. U. Garibaldi
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  3. S. Donadio
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Corresponding author

Correspondence to E. Scalas.

Additional information

An erratum to this article is available at http://dx.doi.org/10.1140/epjb/e2007-00345-6.

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Scalas, E., Garibaldi, U. & Donadio, S. Statistical equilibrium in simple exchange games I. Eur. Phys. J. B 53, 267–272 (2006). https://doi.org/10.1140/epjb/e2006-00355-x

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