Advanced Search
MyIDEAS: Login to save this paper or follow this series

The Transition from a Drèze Equilibrium to a Walrasian Equilibrium

Contents:

Author Info

  • Herings, P. Jean-Jacques

    (UNIVERSITE CATHOLIQUE DE LOUVAIN, Institut de Recherches Economiques et Sociales (IRES))

  • van der Laan, Gerard

    (Free University, Department of Economics and Tinbergen Institute, Amsterdam)

  • Venniker, Richard

    (Free University, Department of Economics and Tinbergen Institute, Amsterdam)

Abstract

In this paper a continuous time price and quantity adjustment process is considered for an economy facing price rigidities. In the short run prices are assumed to be completely fixed and the markets are cleared by quantity adjustments until a fixed price equilibrium is reached where every market is typically characterized by either supply rationing or demand rationing. Next prices are assumed to move upwards in case of demand rationing on a market and downwards when supply rationing occurs. Markets are kept in equilibrium by infinitesimal quantity adjustments such that at every moment in time a fixed price equilibrium results. Using only standard assumptions on the primitive concepts of the economy it is shown that the price and quantity adjustment process indeed converges to a fixed price equilibrium for the initially given prices. Moreover, in the long run, when prices are allowed to change, the process is shown to reach a Walrasian equilibrium. A simplicial algorithm is developed to approximate the price and quantity adjustment process arbitrarily close. It is shown that the path of price systems and rationing schemes generated by the algorithm converges to the path of the adjustment process.

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://sites.uclouvain.be/econ/DP/IRES/9613.pdf
Download Restriction: no

Bibliographic Info

Paper provided by Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES) in its series Discussion Papers (IRES - Institut de Recherches Economiques et Sociales) with number 1996013.

as in new window
Length: 32
Date of creation: 01 Apr 1996
Date of revision:
Handle: RePEc:ctl:louvir:1996013

Contact details of provider:
Postal: Place Montesquieu 3, 1348 Louvain-la-Neuve (Belgium)
Fax: +32 10473945
Email:
Web page: http://www.uclouvain.be/ires
More information through EDIRC

Related research

Keywords: Adjustment processes; price rigidities; simplicial algorithms;

Find related papers by JEL classification:

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. Herings, Jean-Jacques & van der Laan, Gerard & Talman, Dolf & Venniker, Richard, 1997. "Equilibrium adjustment of disequilibrium prices," Journal of Mathematical Economics, Elsevier, vol. 27(1), pages 53-77, February.
  2. Keisler, H Jerome, 1995. "Approximate Tatonnement Processes," Economic Theory, Springer, vol. 5(1), pages 127-73, January.
  3. Mukherji, Anjan, 1995. "A Locally Stable Adjustment Process," Econometrica, Econometric Society, vol. 63(2), pages 441-48, March.
  4. Mas-Colell,Andreu, 1985. "The Theory of General Economic Equilibrium," Cambridge Books, Cambridge University Press, number 9780521265140, October.
  5. Laroque, G, 1981. "A Comment on "Stable Spillovers among Substitutes."," Review of Economic Studies, Wiley Blackwell, vol. 48(2), pages 355-61, April.
  6. Movshovich, Solomon M., 1994. "A price adjustment process in a rationed economy," Journal of Mathematical Economics, Elsevier, vol. 23(4), pages 305-321, July.
  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. Day, Richard H. & Pianigiani, Giulio, 1991. "Statistical dynamics and economics," Journal of Economic Behavior & Organization, Elsevier, vol. 16(1-2), pages 37-83, July.
  9. Laan, G. van der & Talman, A.J.J., 1985. "Adjustment processes for finding economic equilibria," Research Memorandum 174, Tilburg University, Faculty of Economics and Business Administration.
  10. Laan, G. van der & Talman, A.J.J., 1982. "Simplicial approximation of solutions to the nonlinear complementarity problem," Research Memorandum 118, Tilburg University, Faculty of Economics and Business Administration.
  11. Saari, Donald G & Simon, Carl P, 1978. "Effective Price Mechanisms," Econometrica, Econometric Society, vol. 46(5), pages 1097-1125, September.
  12. Herings, P.J.J., 1994. "A globally and universally stable price adjustment process," Discussion Paper 1994-52, Tilburg University, Center for Economic Research.
  13. Herings, P.J.J., 1994. "A globally and universally stable quantity adjustment process for an exchange economy with price rigidities," Discussion Paper 1994-111, Tilburg University, Center for Economic Research.
  14. Veendorp, E C H, 1975. "Stable Spillovers among Substitutes," Review of Economic Studies, Wiley Blackwell, vol. 42(3), pages 445-56, July.
  15. Keisler, H Jerome, 1996. "Getting to a Competitive Equilibrium," Econometrica, Econometric Society, vol. 64(1), pages 29-49, January.
  16. Benassy, Jean-Pascal, 1993. "Nonclearing Markets: Microeconomic Concepts and Macroeconomic Applications," Journal of Economic Literature, American Economic Association, vol. 31(2), pages 732-61, June.
  17. Day, Richard H. & Pianigiani, Giulio, 1991. "Statistical Dynamics and Economics," Working Paper Series 293, Research Institute of Industrial Economics.
  18. Laan, G. van der & Talman, A.J.J., 1987. "A convergent price adjustment process," Open Access publications from Tilburg University urn:nbn:nl:ui:12-154936, Tilburg University.
  19. Doup, T.M. & Talman, A.J.J., 1987. "A new simplicial variable dimension algorithm to find equilibria on the product space of unit simplices," Open Access publications from Tilburg University urn:nbn:nl:ui:12-148734, Tilburg University.
  20. Smale, Steve, 1976. "A convergent process of price adjustment and global newton methods," Journal of Mathematical Economics, Elsevier, vol. 3(2), pages 107-120, July.
  21. Kamiya, Kazuya, 1990. "A Globally Stable Price Adjustment Process," Econometrica, Econometric Society, vol. 58(6), pages 1481-85, November.
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:ctl:louvir:1996013. 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: (Anne DAVISTER-LOGIST).

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.