IDEAS home Printed from https://ideas.repec.org/p/arx/papers/2307.02512.html
   My bibliography  Save this paper

Application of the Deffuant model in money exchange

Author

Listed:
  • Hsin-Lun Li

Abstract

A money transfer involves a buyer and a seller. A buyer buys goods or services from a seller. The money the buyer decreases is the same as that the seller increases. At each time step, a pair of socially connected agents are selected and transact in agreed money. We evolve the Deffuant model to a money exchange system and study circumstances under which asymptotic stability holds, or equal wealth can be achieved.

Suggested Citation

  • Hsin-Lun Li, 2023. "Application of the Deffuant model in money exchange," Papers 2307.02512, arXiv.org.
  • Handle: RePEc:arx:papers:2307.02512
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/2307.02512
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Miguel Molico, 2006. "The Distribution Of Money And Prices In Search Equilibrium," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 47(3), pages 701-722, August.
    2. Adrian Dragulescu & Victor M. Yakovenko, 2000. "Statistical mechanics of money," Papers cond-mat/0001432, arXiv.org, revised Aug 2000.
    3. Kiyotaki, Nobuhiro & Wright, Randall, 1993. "A Search-Theoretic Approach to Monetary Economics," American Economic Review, American Economic Association, vol. 83(1), pages 63-77, March.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. Cordelius Ilgmann & Martin Menner, 2011. "Negative nominal interest rates: history and current proposals," International Economics and Economic Policy, Springer, vol. 8(4), pages 383-405, December.
    3. Kiyotaki, Nobuhiro & Lagos, Ricardo & Wright, Randall, 2016. "Introduction to the symposium issue on money and liquidity," Journal of Economic Theory, Elsevier, vol. 164(C), pages 1-9.
    4. Shouyong Shi, 2002. "Nominal Bonds and Interest Rates: The Case of One-Period Bonds," Working Papers shouyong-03-03, University of Toronto, Department of Economics.
    5. Benjamin Lester & Andrew Postlewaite & Randall Wright, 2011. "Information and Liquidity," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 43, pages 355-377, October.
    6. Miquel Faig, 2001. "A search theory of money and commerce with Neoclassical production," Economics Working Papers 567, Department of Economics and Business, Universitat Pompeu Fabra.
    7. Rietz, Justin, 2019. "Secondary currency acceptance: Experimental evidence with a dual currency search model," Journal of Economic Behavior & Organization, Elsevier, vol. 166(C), pages 403-431.
    8. Aruoba, S. Boragan & Waller, Christopher J. & Wright, Randall, 2011. "Money and capital," Journal of Monetary Economics, Elsevier, vol. 58(2), pages 98-116, March.
    9. Han Han & Benoit Julien & Asgerdur Petursdottir & Liang Wang, 2016. "Credit, Money and Asset Equilibria with Indivisible Goods," Working Papers 201601, University of Hawaii at Manoa, Department of Economics.
    10. Benoît Julien & John Kennes & Ian King, 2005. "Monetary Exchange with Multilateral Matching," Discussion Papers 05-18, University of Copenhagen. Department of Economics, revised Oct 2005.
    11. Aleksander Berentsen, 2002. "On the Distribution of Money Holdings in a Random-Matching Model," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 43(3), pages 945-954, August.
    12. Rocheteau, Guillaume & Rupert, Peter & Shell, Karl & Wright, Randall, 2008. "General equilibrium with nonconvexities and money," Journal of Economic Theory, Elsevier, vol. 142(1), pages 294-317, September.
    13. Rocheteau, Guillaume & Wright, Randall & Xiaolin Xiao, Sylvia, 2018. "Open market operations," Journal of Monetary Economics, Elsevier, vol. 98(C), pages 114-128.
    14. Tian, Songtao & Liu, Zhirong, 2020. "Emergence of income inequality: Origin, distribution and possible policies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 537(C).
    15. Aleksander Berentsen & Guillaume Rocheteau & Shouyong Shi, 2007. "Friedman Meets Hosios: Efficiency in Search Models of Money," Economic Journal, Royal Economic Society, vol. 117(516), pages 174-195, January.
    16. Berentsen, Aleksander & Rocheteau, Guillaume, 2002. "On the efficiency of monetary exchange: how divisibility of money matters," Journal of Monetary Economics, Elsevier, vol. 49(8), pages 1621-1649, November.
    17. Shouyong Shi, 2006. "A Microfoundation of Monetary Economics," Working Papers tecipa-211, University of Toronto, Department of Economics.
    18. Gomis-Porqueras, Pedro & Peralta-Alva, Adrian, 2010. "Optimal monetary and fiscal policies in a search theoretic model of monetary exchange," European Economic Review, Elsevier, vol. 54(3), pages 331-344, April.
    19. Ricardo Lagos & Guillaume Rocheteau, 2009. "Liquidity in Asset Markets With Search Frictions," Econometrica, Econometric Society, vol. 77(2), pages 403-426, March.
    20. Jean, Kasie & Rabinovich, Stanislav & Wright, Randall, 2010. "On the multiplicity of monetary equilibria: Green-Zhou meets Lagos-Wright," Journal of Economic Theory, Elsevier, vol. 145(1), pages 392-401, January.

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:arx:papers:2307.02512. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.