Abstract
In this paper we present detailed simulation results on the wealth distribution model with quenched saving propensities. Unlike other wealth distribution models where the saving propensities are either zero or constant, this model is not found to be ergodic and self-averaging. The wealth distribution statistics with a single realization of quenched disorder is observed to be significantly different in nature from that of the statistics averaged over a large number of independent quenched configurations. The peculiarities in the single realization statistics refuses to vanish irrespective of whatever large sample size is used. This implies that previously observed Pareto law is essentially a convolution of the single member distributions.
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References
V. Pareto, Cours d’economie Politique (F. Rouge, Lausanne, 1897).
Levy M, Solomon S (1997) New evidence for the power-law distribution of wealth, Physica A 242:90–94; Drăgulescu AA, Yakovenko VM (2001) Exponential and Power-Law Probability Distributions of Wealth and Income in the United Kingdom and the United States, Physica A 299:213–221; Aoyama H, Souma W, Fujiwara Y (2003) Growth and fluctuations of personal and company’s income, Physica A 324:352.
Di Matteo T, Aste T, Hyde ST (2003) Exchanges in Complex Networks: Income and Wealth Distributions, cond-mat/0310544; Clementi F, Gallegati M (2005), Power Law Tails in the Italian Personal Income Distribution. Physica A 350:427–438.
Sinha S (2005) Evidence for Power-law Tail of the Wealth Distribution in India, cond-mat/0502166.
Drăgulescu AA, Yakovenko VM (2000) Statistical Mechanics of Money, Eur. Phys. J. B 17:723–726.
Chakraborti A, Chakrabarti BK (2000) Statistical Mechanics of Money: Effects of Saving Propensity, Eur. Phys. J. B 17:167–170.
Chatterjee A, Chakrabarti BK, Manna SS (2004) Pareto Law in a Kinetic Model of Market with Random Saving Propensity, Physica A 335:155; Chatterjee A, Chakrabarti BK; Manna SS (2003) Money in Gas-like Markets: Gibbs and Pareto Laws, Physica Scripta T 106:36; Chakrabarti BK, Chatterjee A (2004) Ideal Gas-Like Distributions in Economics: Effects of Saving Propensity, in Application of Econophysics, Proc. 2nd Nikkei Econophys. Symp., Ed. Takayasu H, Springer, Tokyo, pp. 280–285.
Drăgulescu AA, Yakovenko VM (2000) Statistical Mechanics of Money, Eur. Phys. J. B 17:723–726.
Das A, Yarlagadda S (2003) Analytic treatment of a trading market model, Phys. Scripta T106:39–40.
Patriarca M, Chakraborti A, Kaski K (2004) A Statistical model with a standard г distribution, Phys. Rev. E 70:016104.
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© 2005 Springer-Verlag Italia
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Bhattacharya, K., Mukherjee, G., Manna, S.S. (2005). Detailed Simulation Results for Some Wealth Distribution Models in Econophysics. In: Chatterjee, A., Yarlagadda, S., Chakrabarti, B.K. (eds) Econophysics of Wealth Distributions. New Economic Windows. Springer, Milano. https://doi.org/10.1007/88-470-0389-X_11
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DOI: https://doi.org/10.1007/88-470-0389-X_11
Publisher Name: Springer, Milano
Print ISBN: 978-88-470-0329-3
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