Advanced Search
MyIDEAS: Login

Scale Invariance, Bounded Rationality and Non-Equilibrium Economics

Contents:

Author Info

  • Samuel E. Vazquez
Registered author(s):

    Abstract

    We study a class of heterogeneous agent-based models which are based on a basic set of principles, and the most fundamental operations of an economic system: trade and product transformations. A basic guiding principle is scale invariance, which means that the dynamics of the economy should not depend on the units used to measure the different products. We develop the idea of a "near-equilibrium" expansion which allow us to study the dynamics of fluctuations around economic equilibrium. This is similar to the familiar "perturbation theory" studied in many areas of physics. We study some simple models of both centralized and decentralized markets. We show the relaxation to equilibrium when appropriate. More interestingly, we study a simple model of a decentralized market that shows a spontaneous transition into a monetary phase. We use mean field theory analysis to provide a statistical interpretation of the monetary phase. Furthermore, we show that such phase can be dynamically unstable. Finally, we study some simple centralized financial markets, one of which shows a speculative bubble and a crash.

    Download Info

    If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
    File URL: http://arxiv.org/pdf/0902.3840
    File Function: Latest version
    Download Restriction: no

    Bibliographic Info

    Paper provided by arXiv.org in its series Papers with number 0902.3840.

    as in new window
    Length:
    Date of creation: Feb 2009
    Date of revision:
    Handle: RePEc:arx:papers:0902.3840

    Contact details of provider:
    Web page: http://arxiv.org/

    Related research

    Keywords:

    References

    References listed on IDEAS
    Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
    as in new window
    1. Jerome Coulon & Yannick Malevergne, 2008. "Heterogeneous expectations and long range correlation of the volatility of asset returns," Papers 0808.1538, arXiv.org.
    2. Guillaume Rocheteau & Randall Wright, 2004. "Money in search equilibrium, in competitive equilibrium, and in competitive search equilibrium," Working Paper 0405, Federal Reserve Bank of Cleveland.
    3. John Conlisk, 1996. "Why Bounded Rationality?," Journal of Economic Literature, American Economic Association, vol. 34(2), pages 669-700, June.
    4. Kiyotaki, Nobuhiro & Wright, Randall, 1989. "On Money as a Medium of Exchange," Journal of Political Economy, University of Chicago Press, vol. 97(4), pages 927-54, August.
    5. J. Doyne Farmer & John Geanakoplos, 2008. "The Virtues and Vices of Equilibrium and the Future of Financial Economics," Cowles Foundation Discussion Papers 1647, Cowles Foundation for Research in Economics, Yale University.
    6. Kirill Ilinski, 1997. "Physics of Finance," Papers hep-th/9710148, arXiv.org.
    7. E. Samanidou & E. Zschischang & D. Stauffer & T. Lux, 2007. "Agent-based Models of Financial Markets," Papers physics/0701140, arXiv.org.
    8. Xue-Zhong He & Youwei Li, 2008. "Heterogeneity, convergence, and autocorrelations," Quantitative Finance, Taylor & Francis Journals, vol. 8(1), pages 59-79.
    9. George Selgin, 2003. "Adaptive Learning and the Transition to Fiat Money," Economic Journal, Royal Economic Society, vol. 113(484), pages 147-165, January.
    10. Jones, Robert A, 1976. "The Origin and Development of Media of Exchange," Journal of Political Economy, University of Chicago Press, vol. 84(4), pages 757-75, August.
    11. Aumann, Robert J., 1997. "Rationality and Bounded Rationality," Games and Economic Behavior, Elsevier, vol. 21(1-2), pages 2-14, October.
    12. Irene Giardina & Jean-Philippe Bouchaud, 2002. "Bubbles, crashes and intermittency in agent based market models," Science & Finance (CFM) working paper archive 500022, Science & Finance, Capital Fund Management.
    13. Hayashi, Fumio & Matsui, Akihiko, 1996. "A Model of Fiat Money and Barter," Journal of Economic Theory, Elsevier, vol. 68(1), pages 111-132, January.
    14. Cars H. Hommes, 2005. "Heterogeneous Agent Models in Economics and Finance," Tinbergen Institute Discussion Papers 05-056/1, Tinbergen Institute.
    15. Terrance Odean, 1999. "Do Investors Trade Too Much?," American Economic Review, American Economic Association, vol. 89(5), pages 1279-1298, December.
    16. Karl Ludwig Keiber, 2008. "Price discovery in the presence of boundedly rational agents," Quantitative Finance, Taylor & Francis Journals, vol. 8(3), pages 235-249.
    17. Wilhite, Allen, 2006. "Economic Activity on Fixed Networks," Handbook of Computational Economics, in: Leigh Tesfatsion & Kenneth L. Judd (ed.), Handbook of Computational Economics, edition 1, volume 2, chapter 20, pages 1013-1045 Elsevier.
    18. Araujo, Luis & Camargo, Braz, 2006. "Information, learning, and the stability of fiat money," Journal of Monetary Economics, Elsevier, vol. 53(7), pages 1571-1591, October.
    Full references (including those not matched with items on IDEAS)

    Citations

    Lists

    This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

    Statistics

    Access and download statistics

    Corrections

    When requesting a correction, please mention this item's handle: RePEc:arx:papers:0902.3840. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (arXiv administrators).

    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 references are entirely missing, you can add them using this form.

    If the full references list an item that is present in RePEc, but the system did not link 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 profile, as there may be some citations waiting for confirmation.

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