Dynamics of money and income distributions

Physica A: Statistical Mechanics and its Applications

Volumn 356, Issue 2-4, 2005, Pages 641-654

  Repetowicz, Przemysław ^a   Hutzler, Stefan ^a   Richmond, Peter ^a  

^a TRINITY COLLEGE DUBLIN   (Ireland)

Author keywords

Classical statistical mechanics; Dynamics of social systems; Elastic and inelastic scattering; Environmental studies; Kinetic theory; Probability theory; Stochastic processes and statistics

Indexed keywords

KINETIC THEORY; MATHEMATICAL MODELS; PROBABILITY; RANDOM PROCESSES; SCATTERING; STATISTICAL MECHANICS; STATISTICS;

CLASSICAL STATISTICAL MECHANICS; DYNAMICS OF SOCIAL SYSTEM; ELASTIC AND INELASTIC SCATTERING; ENVIRONMENTAL STUDIES; PROBABILITY THEORY; STOCHASTIC PROCESSES AND STATISTICS;

FINANCE;

EID: 31644444507     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2005.04.010     Document Type: Article

References (27)

1. V. Pareto, Cours d'Economique Politique, Lausanne F Rouge, 1897.
2. M. Levy, and S. Solomon New evidence for the power-law distribution of wealth Physica A 242 1997 90
3. A. Dragulescu, and V.M. Yakovenko Exponential and power-law probability distributions of wealth and income in the United Kingdom and the United States Physica A 299 1-2 2001 213 221
4. A. Dragulescu, and V.M. Yakovenko Evidence for the exponential distribution of income in the USA Eur. Phys. J. B 20 4 2001 585 589
5. W.J. Reed, and B.D. Hughes From gene families and genera to incomes and Internet file sizes: why power laws are so common in nature Phys. Rev. E 66 2002 067103
6. H. Aoyama, W. Souma, and Y. Fujiwara Growth and fluctuations of personal and company's income Physica A 324 2003 352
7. F. Slanina, Inelastically scattering particles and wealth distribution in an open economy, Phys. Rev. E 69(4) (2004) 46102-1-7.
8. June-Yule Lee, Signal processing of chaotic impacting series, IEE Colloq. Signals Systems Chaos (1997) 7/1-6.
9. R. Gibrat, Les Inegalites Economiques, Paris, 1931.
10. G.K. Zipf Human Behaviour and the Principle of Least Effort 1949 Addison-Wesley Reading, MA
11. Y. Ijiri, and H. Simon Skew Distributions and the Sizes of Business Firms 1977 North-Holland New York
12. H. Kesten Random difference equations and renewal theory for products of random matrices Acta Math. CXXXI 1973 207 248
13. S. Solomon, et al., Theoretical analysis and simulations of the generalised Lotka-Volterra model, Phys. Rev. E 66(31) (2002) 031102/1-031102/4
14. S. Solomon, P. Richmond, Stable power laws in variable economies, Lotka-Volterra implies Pareto-Zipf, Eur. Phys. J. B 27(2) (2002) 257-261;
15. P. Richmond, S. Solomon, Power laws are disguised Boltzmann laws, Int. J. Mod. Phys. C 12(3) (2001) 333-343.
16. A. Chakraborti, and B.K. Chakrabarti Eur. Phys. J. B 17 2000 167
17. M. Patriarca, A. Chakraborti, and K. Kaski Phys. Rev. E 70 2004 016104
18. B.K. Chakrabarti, A. Chatterjee, 2nd Nikkei Econophysics Symposium, Tokyo, 2002
19. in: H. Takayasu (Ed.), Proceedings of "Application of Econophysics", Springer, Tokyo, 2004, p. 280.
20. A. Chatterjee, B.K. Chakrabarti, and S.S. Manna Money in gas-like markets: Gibbs and Pareto laws Phys. Scripta T 106 2003 36 38 and cond-mat/0311227
21. A. Chatterjee, B.K. Chakrabarti, and S.S. Manna Physica A 335 2004 155 163
22. A. Dragulescu, and V.M. Yakovenko Statistical mechanics of money Eur. Phys. J. B 17 2000 723 729
23. M.H. Ernst Nonlinear model-Boltzmann equations and exact solutions Phys. Rep. (Review Section of Phys. Lett.) 78 1 1981 1 171
24. P.L. Krapivsky, and E. Ben-Naim Nontrivial velocity distributions in inelastic gases J. Phys. A: Math. Gen. 35 2002 L147 L152
25. D. Ben-Avraham, E. Ben-Naim, K. Lindenberg, A. Rosas, Self-similarity in random collision processes, Phys. Rev. E 68(51) (2003) 50103/1-50103/4.
26. A.V. Bobylev, J.A. Carrillo, and I.M. Gamba On some properties of kinetic and hydrodynamic equations for inelastic interactions J. Stat. Phys. 98 3-4 2000 743 773
27. A. Baldassarri, A. Puglisi, U. Marini, and B. Marconi Kinetics models of inelastic gases Math. Models Methods Appl. Sci. 12 7 2002 965 983