IDEAS home Printed from https://ideas.repec.org/p/arx/papers/0902.3840.html
   My bibliography  Save this paper

Scale Invariance, Bounded Rationality and Non-Equilibrium Economics

Author

Listed:
  • Samuel E. Vazquez

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.

Suggested Citation

  • Samuel E. Vazquez, 2009. "Scale Invariance, Bounded Rationality and Non-Equilibrium Economics," Papers 0902.3840, arXiv.org.
    • Handle: RePEc:arx:papers:0902.3840
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/0902.3840
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Kiyotaki, Nobuhiro & Wright, Randall, 1989. "On Money as a Medium of Exchange," Journal of Political Economy, University of Chicago Press, vol. 97(4), pages 927-954, August.
    2. J. Doyne Farmer & John Geanakoplos, 2008. "The Virtues and Vices of Equilibrium and the Future of Financial Economics," Levine's Working Paper Archive 122247000000002067, David K. Levine.
    3. Jones, Robert A, 1976. "The Origin and Development of Media of Exchange," Journal of Political Economy, University of Chicago Press, vol. 84(4), pages 757-775, August.
    4. Hayashi, Fumio & Matsui, Akihiko, 1996. "A Model of Fiat Money and Barter," Journal of Economic Theory, Elsevier, vol. 68(1), pages 111-132, January.
    5. John Conlisk, 1996. "Why Bounded Rationality?," Journal of Economic Literature, American Economic Association, vol. 34(2), pages 669-700, June.
    6. J. Coulon & Y. Malevergne, 2011. "Heterogeneous expectations and long-range correlation of the volatility of asset returns," Quantitative Finance, Taylor & Francis Journals, vol. 11(9), pages 1329-1356, November.
    7. 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.
    8. Hommes, Cars H., 2006. "Heterogeneous Agent Models in Economics and Finance," Handbook of Computational Economics, in: Leigh Tesfatsion & Kenneth L. Judd (ed.), Handbook of Computational Economics, edition 1, volume 2, chapter 23, pages 1109-1186, Elsevier.
    9. Guillaume Rocheteau & Randall Wright, 2005. "Money in Search Equilibrium, in Competitive Equilibrium, and in Competitive Search Equilibrium," Econometrica, Econometric Society, vol. 73(1), pages 175-202, January.
    10. Karl Ludwig Keiber, 2008. "Price discovery in the presence of boundedly rational agents," Quantitative Finance, Taylor & Francis Journals, vol. 8(3), pages 235-249.
    11. 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.
    12. Ritter, Joseph A, 1995. "The Transition from Barter to Fiat Money," American Economic Review, American Economic Association, vol. 85(1), pages 134-149, March.
    13. Kirill Ilinski, 1997. "Physics of Finance," Papers hep-th/9710148, arXiv.org.
    14. E. Samanidou & E. Zschischang & D. Stauffer & T. Lux, 2007. "Agent-based Models of Financial Markets," Papers physics/0701140, arXiv.org.
    15. Aumann, Robert J., 1997. "Rationality and Bounded Rationality," Games and Economic Behavior, Elsevier, vol. 21(1-2), pages 2-14, October.
    16. Xue-Zhong He & Youwei Li, 2008. "Heterogeneity, convergence, and autocorrelations," Quantitative Finance, Taylor & Francis Journals, vol. 8(1), pages 59-79.
    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. George Selgin, 2003. "Adaptive Learning and the Transition to Fiat Money," Economic Journal, Royal Economic Society, vol. 113(484), pages 147-165, January.
    19. Terrance Odean, 1999. "Do Investors Trade Too Much?," American Economic Review, American Economic Association, vol. 89(5), pages 1279-1298, December.
    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. George Selgin, 2003. "Adaptive Learning and the Transition to Fiat Money," Economic Journal, Royal Economic Society, vol. 113(484), pages 147-165, January.
    2. Starr, Ross M., 2003. "Monetary general equilibrium with transaction costs," Journal of Mathematical Economics, Elsevier, vol. 39(3-4), pages 335-354, June.
    3. Dan Kovenock, 2002. "Fiat Exchange in Finite Economies," Economic Inquiry, Western Economic Association International, vol. 40(2), pages 147-157, April.
    4. Andrés Álvarez & Vincent Bignon, 2013. "L. Walras and C. Menger: two ways on the path of modern monetary theory," The European Journal of the History of Economic Thought, Taylor & Francis Journals, vol. 20(1), pages 89-124, February.
    5. Chen, Shu-Heng, 2012. "Varieties of agents in agent-based computational economics: A historical and an interdisciplinary perspective," Journal of Economic Dynamics and Control, Elsevier, vol. 36(1), pages 1-25.
    6. Stephen D. Williamson & Randall Wright, 2010. "New monetarist economics: methods," Review, Federal Reserve Bank of St. Louis, vol. 92(May), pages 265-302.
    7. Mikael Stenkula, 2003. "Carl Menger and the network theory of money," The European Journal of the History of Economic Thought, Taylor & Francis Journals, vol. 10(4), pages 587-606.
    8. Delli Gatti,Domenico & Fagiolo,Giorgio & Gallegati,Mauro & Richiardi,Matteo & Russo,Alberto (ed.), 2018. "Agent-Based Models in Economics," Cambridge Books, Cambridge University Press, number 9781108400046.
    9. repec:zbw:bofrdp:1995_023 is not listed on IDEAS
    10. Williamson, Stephen & Wright, Randall, 2010. "New Monetarist Economics: Models," Handbook of Monetary Economics, in: Benjamin M. Friedman & Michael Woodford (ed.), Handbook of Monetary Economics, edition 1, volume 3, chapter 2, pages 25-96, Elsevier.
    11. Zhixiu Yu, 2023. "On the Coexistence of Cryptocurrency and Fiat Money," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 49, pages 147-180, July.
    12. Annalisa Fabretti & Tommy Gärling & Stefano Herzel & Martin Holmen, 2017. "Convex incentives in financial markets: an agent-based analysis," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 40(1), pages 375-395, November.
    13. Zhao, Zhijun & Zhang, Xiaoqi, 2022. "A continuous heterogeneous-agent model for the co-evolution of asset price and wealth distribution in financial market," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
    14. Randall Wright, 2005. "Introduction to \\"Models of Monetary Economies II: The Next Generation\\"," Quarterly Review, Federal Reserve Bank of Minneapolis, vol. 29(Oct), pages 2-9.
    15. Dan Kovenock, 2002. "Fiat Exchange in Finite Economies," Economic Inquiry, Western Economic Association International, vol. 40(2), pages 147-157, April.
    16. Goodhart, Charles A. E., 1998. "The two concepts of money: implications for the analysis of optimal currency areas," European Journal of Political Economy, Elsevier, vol. 14(3), pages 407-432, August.
    17. Berentsen, Aleksander & Huber, Samuel & Marchesiani, Alessandro, 2016. "The societal benefit of a financial transaction tax," European Economic Review, Elsevier, vol. 89(C), pages 303-323.
    18. Kevin D. Hoover, 2016. "The Crisis in Economic Theory: A Review Essay," Journal of Economic Literature, American Economic Association, vol. 54(4), pages 1350-1361, December.
    19. Menzio, Guido & Shi, Shouyong & Sun, Hongfei, 2013. "A monetary theory with non-degenerate distributions," Journal of Economic Theory, Elsevier, vol. 148(6), pages 2266-2312.
    20. Guillaume Rocheteau & Pierre‐Olivier Weill, 2011. "Liquidity in Frictional Asset Markets," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 43(s2), pages 261-282, October.
    21. 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.

    More about this item

    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:0902.3840. 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.