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Microeconomics of the ideal gas like market models

Author

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  • Chakrabarti, Anindya S.
  • Chakrabarti, Bikas K.

Abstract

We develop a framework based on microeconomic theory from which the ideal gas like market models can be addressed. A kinetic exchange model based on that framework is proposed and its distributional features have been studied by considering its moments. Next, we derive the moments of the CC model (Eur. Phys. J. B 17 (2000) 167) as well. Some precise solutions are obtained which conform with the solutions obtained earlier. Finally, an output market is introduced with global price determination in the model with some necessary modifications.

Suggested Citation

  • Chakrabarti, Anindya S. & Chakrabarti, Bikas K., 2009. "Microeconomics of the ideal gas like market models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(19), pages 4151-4158.
  • Handle: RePEc:eee:phsmap:v:388:y:2009:i:19:p:4151-4158 DOI: 10.1016/j.physa.2009.06.038
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    References listed on IDEAS

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    1. Silver, Jonathan & Slud, Eric & Takamoto, Keiji, 2002. "Statistical Equilibrium Wealth Distributions in an Exchange Economy with Stochastic Preferences," Journal of Economic Theory, Elsevier, vol. 106(2), pages 417-435, October.
    2. Anirban Chakraborti & Bikas K. Chakrabarti, 2000. "Statistical mechanics of money: How saving propensity affects its distribution," Papers cond-mat/0004256, arXiv.org, revised Jun 2000.
    3. Angle, John, 2006. "The Inequality Process as a wealth maximizing process," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 367(C), pages 388-414.
    4. Chatterjee, Arnab & K. Chakrabarti, Bikas & Manna, S.S, 2004. "Pareto law in a kinetic model of market with random saving propensity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 335(1), pages 155-163.
    5. Arnab Chatterjee & Bikas K. Chakrabarti & S. S. Manna, 2003. "Pareto Law in a Kinetic Model of Market with Random Saving Propensity," Papers cond-mat/0301289, arXiv.org, revised Jan 2004.
    6. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680.
    7. A. Chatterjee & B. K. Chakrabarti, 2007. "Kinetic exchange models for income and wealth distributions," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 60(2), pages 135-149, November.
    8. Arnab Chatterjee & Bikas K. Chakrabarti, 2007. "Kinetic Exchange Models for Income and Wealth Distributions," Papers 0709.1543, arXiv.org, revised Nov 2007.
    9. A. Chakraborti & B.K. Chakrabarti, 2000. "Statistical mechanics of money: how saving propensity affects its distribution," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 17(1), pages 167-170, September.
    10. Urna Basu & P. K. Mohanty, 2008. "Modeling wealth distribution in growing markets," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 65(4), pages 585-589, October.
    11. Arnab Chatterjee & Bikas K. Chakrabarti & Robin B. Stinchcombe, 2005. "Master equation for a kinetic model of trading market and its analytic solution," Papers cond-mat/0501413, arXiv.org, revised Aug 2005.
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    Citations

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    Cited by:

    1. M. L. Bertotti & G. Modanese, 2016. "Mathematical models describing the effects of different tax evasion behaviors," Papers 1701.02662, arXiv.org.
    2. Bertotti, Maria Letizia & Modanese, Giovanni, 2011. "From microscopic taxation and redistribution models to macroscopic income distributions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(21), pages 3782-3793.
    3. Kaldasch, Joachim, 2012. "Evolutionary model of the personal income distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(22), pages 5628-5642.
    4. Kiran Sharma & Subhradeep Das & Anirban Chakraborti, 2017. "Can higher savings moderate the income inequality?," Papers 1801.00253, arXiv.org.
    5. Kantar, Ersin & Keskin, Mustafa, 2013. "The relationships between electricity consumption and GDP in Asian countries, using hierarchical structure methods," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(22), pages 5678-5684.
    6. Soriano-Hernández, P. & del Castillo-Mussot, M. & Campirán-Chávez, I. & Montemayor-Aldrete, J.A., 2017. "Wealth of the world’s richest publicly traded companies per industry and per employee: Gamma, Log-normal and Pareto power-law as universal distributions?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 471(C), pages 733-749.
    7. repec:spr:jeicoo:v:12:y:2017:i:1:d:10.1007_s11403-015-0148-6 is not listed on IDEAS
    8. Belal E. Baaquie, 2012. "Statistical Microeconomics," Papers 1211.7172, arXiv.org.
    9. Anirban Chakraborti & Ioane Muni Toke & Marco Patriarca & Frédéric Abergel, 2011. "Econophysics: agent-based models," Post-Print hal-00621059, HAL.
    10. Chakrabarti, Anindya S., 2012. "Effects of the turnover rate on the size distribution of firms: An application of the kinetic exchange models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(23), pages 6039-6050.
    11. Anindya S. Chakrabarti, 2011. "Firm dynamics in a closed, conserved economy: A model of size distribution of employment and related statistics," Papers 1112.2168, arXiv.org.
    12. Chakrabarti, Anindya S. & Chakrabarti, Bikas K., 2010. "Inequality reversal: Effects of the savings propensity and correlated returns," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(17), pages 3572-3579.
    13. Diniz, M. & Mendes, F.M., 2012. "Effects of taxation on money distribution," International Review of Financial Analysis, Elsevier, vol. 23(C), pages 81-85.
    14. Sylvain Barde, 2012. "Back to the future: economic rationality and maximum entropy prediction," Studies in Economics 1202, School of Economics, University of Kent.
    15. Baaquie, Belal E., 2013. "Statistical microeconomics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(19), pages 4400-4416.
    16. Victor M. Yakovenko, 2012. "Applications of statistical mechanics to economics: Entropic origin of the probability distributions of money, income, and energy consumption," Papers 1204.6483, arXiv.org.
    17. repec:eee:phsmap:v:490:y:2018:i:c:p:278-288 is not listed on IDEAS
    18. Soriano-Hernández, P. & del Castillo-Mussot, M. & Córdoba-Rodríguez, O. & Mansilla-Corona, R., 2017. "Non-stationary individual and household income of poor, rich and middle classes in Mexico," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 465(C), pages 403-413.
    19. Anirban Chakraborti & Dhruv Raina & Kiran Sharma, 2016. "Can an interdisciplinary field contribute to one of the parent disciplines from which it emerged?," Papers 1605.08354, arXiv.org.
    20. Maria Letizia Bertotti & Giovanni Modanese, 2011. "From microscopic taxation and redistribution models to macroscopic income distributions," Papers 1109.0606, arXiv.org.

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