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Random Market Models with an H-Theorem

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  • Ricardo Lopez-Ruiz
  • Elyas Shivanian
  • Jose-Luis Lopez
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    Abstract

    In this communication, some economic models given by functional mappings are addressed. These are models for random markets where agents trade by pairs and exchange their money in a random and conservative way. They display the exponential wealth distribution as asymptotic equilibrium, independently of the effectiveness of the transactions and of the limitation of the total wealth. The entropy increases with time in these models and the existence of an H-theorem is computationally checked. Also, it is shown that any small perturbation of the models equations make them to lose the exponential distribution as an equilibrium solution.

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    File URL: http://arxiv.org/pdf/1307.2169
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    Bibliographic Info

    Paper provided by arXiv.org in its series Papers with number 1307.2169.

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    Date of creation: Jul 2013
    Date of revision: Jul 2014
    Handle: RePEc:arx:papers:1307.2169

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    1. Shivanian, Elyas & López-Ruiz, Ricardo, 2012. "A new model for ideal gases. Decay to the Maxwellian distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, Elsevier, vol. 391(8), pages 2600-2607.
    2. Levy, Moshe & Solomon, Sorin, 1997. "New evidence for the power-law distribution of wealth," Physica A: Statistical Mechanics and its Applications, Elsevier, Elsevier, vol. 242(1), pages 90-94.
    3. Drăgulescu, Adrian & Yakovenko, Victor M., 2001. "Exponential and power-law probability distributions of wealth and income in the United Kingdom and the United States," Physica A: Statistical Mechanics and its Applications, Elsevier, Elsevier, vol. 299(1), pages 213-221.
    4. Adrian Dragulescu & Victor M. Yakovenko, 2000. "Statistical mechanics of money," Papers cond-mat/0001432, arXiv.org, revised Aug 2000.
    5. Adrian Dragulescu & Victor M. Yakovenko, 2001. "Exponential and power-law probability distributions of wealth and income in the United Kingdom and the United States," Papers cond-mat/0103544, arXiv.org, revised Mar 2001.
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