IDEAS home Printed from https://ideas.repec.org/p/arx/papers/1108.0188.html
   My bibliography  Save this paper

Second-Order, Dissipative T\^atonnement: Economic Interpretation and 2-Point Limit Cycles

Author

Listed:
  • Eric Kemp-Benedict

Abstract

This paper proposes an alternative to the classical price-adjustment mechanism (called "t\^{a}tonnement" after Walras) that is second-order in time. The proposed mechanism, an analogue to the damped harmonic oscillator, provides a dynamic equilibration process that depends only on local information. We show how such a process can result from simple behavioural rules. The discrete-time form of the model can result in two-step limit cycles, but as the distance covered by the cycle depends on the size of the damping, the proposed mechanism can lead to both highly unstable and relatively stable behaviour, as observed in real economies.

Suggested Citation

  • Eric Kemp-Benedict, 2011. "Second-Order, Dissipative T\^atonnement: Economic Interpretation and 2-Point Limit Cycles," Papers 1108.0188, arXiv.org, revised Aug 2011.
  • Handle: RePEc:arx:papers:1108.0188
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/1108.0188
    File Function: Latest version
    Download Restriction: no

    References listed on IDEAS

    as
    1. 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.
    2. Sonnenschein, Hugo, 1972. "Market Excess Demand Functions," Econometrica, Econometric Society, vol. 40(3), pages 549-563, May.
    3. Mantel, Rolf R., 1974. "On the characterization of aggregate excess demand," Journal of Economic Theory, Elsevier, vol. 7(3), pages 348-353, March.
    4. Saari, Donald G & Simon, Carl P, 1978. "Effective Price Mechanisms," Econometrica, Econometric Society, vol. 46(5), pages 1097-1125, September.
    5. 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.
    6. Bala, Venkatesh & Majumdar, Mukul & Mitra, Tapan, 1998. "A note on controlling a chaotic tatonnement," Journal of Economic Behavior & Organization, Elsevier, vol. 33(3-4), pages 411-420, January.
    7. 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.
    8. A. P. Kirman & K. J. Koch, 1986. "Market Excess Demand in Exchange Economies with Identical Preferences and Collinear Endowments," Review of Economic Studies, Oxford University Press, vol. 53(3), pages 457-463.
    9. Bala, Venkatesh & Majumdar, Mukul, 1992. "Chaotic Tatonnement," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 2(4), pages 437-445, October.
    10. Claus Weddepohl, 1997. "Simulating tatonnement in a production economy," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 10(3), pages 551-558.
    11. Saari, Donald G, 1985. "Iterative Price Mechanisms," Econometrica, Econometric Society, vol. 53(5), pages 1117-1131, September.
    12. Goeree, Jacob K. & Hommes, Cars & Weddepohl, Claus, 1998. "Stability and complex dynamics in a discrete tatonnement model," Journal of Economic Behavior & Organization, Elsevier, vol. 33(3-4), pages 395-410, January.
    13. Debreu, Gerard, 1974. "Excess demand functions," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 15-21, March.
    14. Tuinstra, Jan, 1997. "A price adjustment process with symmetry," Economics Letters, Elsevier, vol. 57(3), pages 297-303, December.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Eric Kemp-Benedict, 2012. "Second-order Price Dynamics: Approach to Equilibrium with Perpetual Arbitrage," Papers 1202.5926, arXiv.org.
    2. Eric Kemp-Benedict, 2012. "Price and Quantity Trajectories: Second-order Dynamics," Papers 1204.3156, arXiv.org.

    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:1108.0188. 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). General contact details of provider: http://arxiv.org/ .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.