Skip to main content

Ideal Gas-Like Distributions in Economics: Effects of Saving Propensity

  • Conference paper
The Application of Econophysics

Abstract

We consider the ideal-gas models of trading markets. where each agent is identified with a gas molecule and each trading an as alastic or money-conserving (two-body) collision. Unlike in the ideal gas. we introduce saving propensity λ of agents, such that each agents saves a fraction λ of its money and trades with the rest. We show the steady-state money or wealth distribution in a market is Gibbs-like for λ=0, has got a non-vanishing most-probable value for λ≠0 and Pareto-like when λ is widely distributed among the agents. Wr compare these results with observations on wealth distributions of various countries

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

References

  1. Second Nikkei Econophysics Symposium (2002) homepage: http://weh.nikker.co.jp/sae/sae

  2. Stanley H E et al (1996), Anomalous Fluctuations in the Dynamics of Complex Systems: From DNA and Physiology to Econophysics, Physica A 224; 302–321

    Article  MathSciNet  ADS  Google Scholar 

  3. Statphys-Kolkata I-IV: Frocs. in Physica A 186: (1 & 2) (1992) I; Physica A 224: (1 & 2) (1996) II; Physica A 270:(1 & 2) (1999) III; Physica A 318: (1 & 2) (2003) IV

    Google Scholar 

  4. Proc. School on Complex Systems, Indi an J. Phys. B 69: 483–698

    Google Scholar 

  5. Chakrabarti B K, Marjit S (1995), Self-organisation in Game of Life and Economics, Indian J. Phys, B 69: 681–698

    Google Scholar 

  6. Moss de Oliveira S, de Oliveira P M C, Stauffer D (1999), Evolution, Money, War and Computers, Tuebner, Stuttgart, pp 110–111, 127

    Google Scholar 

  7. Dragulescu A A, Yakovenko V M (2000), Statistical Mechanics of Money, Euro. Phys. J. B 17: 723–726

    ADS  Google Scholar 

  8. Chakraborti A, Chakrabarti B K (2000), Statistical Mechanics of Money: Effects of Saving Propensity, Euro. Phys. J. B 17: 167–170

    Article  ADS  Google Scholar 

  9. Hayes B (2002), Follow the Money, Am. Scientist, 90: (Sept-Oct) 400–405

    Google Scholar 

  10. Pareto V (1897), Le Cours d’Economique Politique, Lausanne & Paris

    Google Scholar 

  11. Chakraborti A (2002), Distribution of Money in Model Markets of Economy, arXiv:cond-rnat/0205221, to appear in Int. J. Mod. Phys. C 13 (2003)

    Google Scholar 

  12. Tsallis C (2003), An Unifying Concept for Discussing Statistical Physics and Economics, in this Proc. Vol.; Reiss H, Rawlings P K (2003) The Natural Role of Entropy in Equilibrium Economics, in this Proc. Vol.

    Google Scholar 

  13. Dragulescu A A, Yakovenko V M (2001), Evidence for the Exponential Distribution of Income in the USA, Euro. Phys. J. B 20: 585–589; Dragulescu A A, Yakovenko V M (2002), Statistical Mechanics of Money, Income and Wealth, arXiv: tond-mal /0211175

    Google Scholar 

  14. Fujiwara Y, Aoyama H (2003), Growth and Fluctuations of Personal Income I & II, in this Proc.. Vol., arXiv:cond-mat/0208398

    Google Scholar 

  15. Chakraborti A, Pradhan S, Chakrabarti B K (2001), A self-organising Model Market with single Commodity, Physica A 297: 253–259

    Article  ADS  MATH  Google Scholar 

  16. Chatterjee A (2002) unpublished; Chatterjee A, Chakrabarti B K, Manna S S (2003), Pareto Law in a Kinetic Model of Market with Random Saving Propensity, arXiv: coed-mat/0301289.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2004 Springer Japan

About this paper

Cite this paper

Chakrabarti, B.K., Chatterjee, A. (2004). Ideal Gas-Like Distributions in Economics: Effects of Saving Propensity. In: Takayasu, H. (eds) The Application of Econophysics. Springer, Tokyo. https://doi.org/10.1007/978-4-431-53947-6_40

Download citation

  • DOI: https://doi.org/10.1007/978-4-431-53947-6_40

  • Publisher Name: Springer, Tokyo

  • Print ISBN: 978-4-431-67961-5

  • Online ISBN: 978-4-431-53947-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics