Second-order Price Dynamics: Approach to Equilibrium with Perpetual Arbitrage
AbstractThe notion that economies should normally be in equilibrium is by now well-established; equally well-established is that economies are almost never precisely in equilibrium. Using a very general formulation, we show that under dynamics that are second-order in time a price system can remain away from equilibrium with permanent and repeating opportunities for arbitrage, even when a damping term drives the system towards equilibrium. We also argue that second-order dynamic equations emerge naturally when there are heterogeneous economic actors, some behaving as active and knowledgeable arbitrageurs, and others using heuristics. The essential mechanism is that active arbitrageurs are able to repeatedly benefit from the suboptimal heuristics that govern most economic behavior.
Download InfoIf 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.
Bibliographic InfoPaper provided by arXiv.org in its series Papers with number 1202.5926.
Date of creation: Feb 2012
Date of revision:
Contact details of provider:
Web page: http://arxiv.org/
This paper has been announced in the following NEP Reports:
- NEP-ALL-2012-03-08 (All new papers)
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.:
- Gabaix, Xavier & Gopikrishnan, Parameswaran & Plerou, Vasiliki & Stanley, Eugene, 2007. "A unified econophysics explanation for the power-law exponents of stock market activity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 382(1), pages 81-88.
- Victor Ginsburgh & Michiel Keyzer, 2002.
"The structure of applied general equilibrium models,"
ULB Institutional Repository
2013/3313, ULB -- Universite Libre de Bruxelles.
- Victor Ginsburgh & Michiel Keyzer, 2002. "The Structure of Applied General Equilibrium Models," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262571579, January.
- Victor Ginsburgh & Michiel Keyzer, 1997. "The structure of applied general equilibrium models," ULB Institutional Repository 2013/1653, ULB -- Universite Libre de Bruxelles.
- Frank Ackerman, 2001. "Still dead after all these years: interpreting the failure of general equilibrium theory," Journal of Economic Methodology, Taylor & Francis Journals, vol. 9(2), pages 119-139.
- Mantel, Rolf R., 1974. "On the characterization of aggregate excess demand," Journal of Economic Theory, Elsevier, vol. 7(3), pages 348-353, March.
- Jordan, J. S., 1986. "Instability in the implementation of Walrasian allocations," Journal of Economic Theory, Elsevier, vol. 39(2), pages 301-328, August.
- Xavier Gabaix & Parameswaran Gopikrishnan & Vasiliki Plerou & H. Eugene Stanley, 2005.
"Institutional Investors and Stock Market Volatility,"
NBER Working Papers
11722, National Bureau of Economic Research, Inc.
- Xavier Gabaix & Parameswaran Gopikrishnan & Vasiliki Plerou & H. Eugene Stanley, 2006. "Institutional Investors and Stock Market Volatility," The Quarterly Journal of Economics, MIT Press, vol. 121(2), pages 461-504, May.
- Debreu, Gerard, 1974. "Excess demand functions," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 15-21, March.
- Herbert E. Scarf, 1959. "Some Examples of Global Instability of the Competitive Equilibrium," Cowles Foundation Discussion Papers 79, Cowles Foundation for Research in Economics, Yale University.
- Fisher,Franklin M., 1989. "Disequilibrium Foundations of Equilibrium Economics," Cambridge Books, Cambridge University Press, number 9780521378567, December.
- Saari, Donald G, 1985. "Iterative Price Mechanisms," Econometrica, Econometric Society, vol. 53(5), pages 1117-31, September.
- Sonnenschein, Hugo, 1972. "Market Excess Demand Functions," Econometrica, Econometric Society, vol. 40(3), pages 549-63, May.
- Alan S. Blinder, 1994. "On Sticky Prices: Academic Theories Meet the Real World," NBER Chapters, in: Monetary Policy, pages 117-154 National Bureau of Economic Research, Inc.
- Markus K Brunnermeier, 2002.
"Bubbles and Crashes,"
FMG Discussion Papers
dp401, Financial Markets Group.
- Kaldor, Nicholas, 1972. "The Irrelevance of Equilibrium Economics," Economic Journal, Royal Economic Society, vol. 82(328), pages 1237-55, December.
- Eric Kemp-Benedict, 2011. "Second-Order, Dissipative T\^atonnement: Economic Interpretation and 2-Point Limit Cycles," Papers 1108.0188, arXiv.org, revised Aug 2011.
- Jean-Philippe Bouchaud & J. Doyne Farmer & Fabrizio Lillo, 2008. "How markets slowly digest changes in supply and demand," Papers 0809.0822, arXiv.org.
- Eric Kemp-Benedict, 2012. "Price and Quantity Trajectories: Second-order Dynamics," Papers 1204.3156, arXiv.org.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (arXiv administrators).
If references are entirely missing, you can add them using this form.