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Model of wealth and goods dynamics in a closed market

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  • Ausloos, Marcel
  • Pe¸kalski, Andrzej

Abstract

A simple computer simulation model of a closed market on a fixed network with free flow of goods and money is introduced. The model contains only two variables: the amount of goods and money beside the size of the system. An initially flat distribution of both variables is presupposed. We show that under completely random rules, i.e. through the choice of interacting agent pairs on the network and of the exchange rules that the market stabilizes in time and shows diversification of money and goods. We also indicate that the difference between poor and rich agents increases for small markets, as well as for systems in which money is steadily deduced from the market through taxation. It is also found that the price of goods decreases when taxes are introduced, likely due to the less availability of money.

Suggested Citation

  • Ausloos, Marcel & Pe¸kalski, Andrzej, 2007. "Model of wealth and goods dynamics in a closed market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 373(C), pages 560-568.
  • Handle: RePEc:eee:phsmap:v:373:y:2007:i:c:p:560-568
    DOI: 10.1016/j.physa.2006.04.112
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    References listed on IDEAS

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    1. Iglesias, J.R. & Gonçalves, S. & Pianegonda, S. & Vega, J.L. & Abramson, G., 2003. "Wealth redistribution in our small world," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 327(1), pages 12-17.
    2. Donangelo, R & Sneppen, K, 2002. "Cooperativity in a trading model with memory and production," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 316(1), pages 581-591.
    3. Pianegonda, S & Iglesias, J.R & Abramson, G & Vega, J.L, 2003. "Wealth redistribution with conservative exchanges," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 322(C), pages 667-675.
    4. Manolova, Petia & Lai Tong, Charles & Deissenberg, Christophe, 2003. "Money and exchange in an economy with spatially differentiated agents," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 324(1), pages 445-453.
    5. Patriarca, Marco & Chakraborti, Anirban & Kaski, Kimmo, 2004. "Gibbs versus non-Gibbs distributions in money dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 340(1), pages 334-339.
    6. Petia Manolova & Charles Lai-Tong & Christophe Deissenberg, "undated". "Real taxation and production in a monetary economy with spatially differentiated agents," Modeling, Computing, and Mastering Complexity 2003 12, Society for Computational Economics.
    7. Repetowicz, Przemysław & Hutzler, Stefan & Richmond, Peter, 2005. "Dynamics of money and income distributions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 356(2), pages 641-654.
    8. Ausloos, Marcel & Vandewalle, N. & Ivanova, K., 2000. "Time is money," MPRA Paper 28703, University Library of Munich, Germany.
    9. Arnab Das & Sudhakar Yarlagadda, 2003. "Analytic treatment of a trading market model," Papers cond-mat/0304685, arXiv.org.
    10. Przemyslaw Repetowicz & Stefan Hutzler & Peter Richmond, 2004. "Dynamics of Money and Income Distributions," Papers cond-mat/0407770, arXiv.org.
    11. 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.
    12. 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.
    13. 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.
    14. Stéphane Hallegatte, 2006. "A Cost-Benefit Analysis of the New Orleans Flood Protection System," Post-Print hal-00164628, HAL.
    15. 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.
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    Cited by:

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    3. Victor M. Yakovenko, 2007. "Econophysics, Statistical Mechanics Approach to," Papers 0709.3662, arXiv.org, revised Aug 2008.
    4. Marcel Ausloos & Herbert Dawid & Ugo Merlone, 2015. "Spatial Interactions in Agent-Based Modeling," Dynamic Modeling and Econometrics in Economics and Finance, in: Pasquale Commendatore & Saime Kayam & Ingrid Kubin (ed.), Complexity and Geographical Economics, edition 127, pages 353-377, Springer.
    5. Haven, Emmanuel, 2008. "Elementary Quantum Mechanical Principles and Social Science: Is There a Connection?," Journal for Economic Forecasting, Institute for Economic Forecasting, vol. 5(1), pages 41-58, March.
    6. Victor M. Yakovenko & J. Barkley Rosser, 2009. "Colloquium: Statistical mechanics of money, wealth, and income," Papers 0905.1518, arXiv.org, revised Dec 2009.
    7. Marcel Ausloos, 2013. "Econophysics: Comments on a Few Applications, Successes, Methods and Models," IIM Kozhikode Society & Management Review, , vol. 2(2), pages 101-115, July.
    8. Cui, Jian & Pan, Qiuhui & Qian, Qian & He, Mingfeng & Sun, Qilin, 2013. "A multi-agent dynamic model based on different kinds of bequests," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(6), pages 1393-1397.
    9. J. R. Iglesias & R. M. C. de Almeida, 2011. "Entropy and equilibrium state of free market models," Papers 1108.5725, arXiv.org.
    10. Sebastian Guala, 2009. "Taxes in a Wealth Distribution Model by Inelastically Scattering of Particles," Interdisciplinary Description of Complex Systems - scientific journal, Croatian Interdisciplinary Society Provider Homepage: http://indecs.eu, vol. 7(1), pages 1-7.

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