Advanced Search
MyIDEAS: Login to save this article or follow this journal

Non-computability of competitive equilibrium

Contents:

Author Info

  • Kam-Chau Wong

    (Department of Economics, Chinese University of Hong Kong, Shatin, HONG KONG)

  • Marcel K. Richter

    (Department of Economics, University of Minnesota, Minneapolis, MN 55455, USA)

Abstract

We provide a "computable counterexample" to the Arrow-Debreu competitive equilibrium existence theorem [2]. In particular, we find an exchange economy in which all components are (Turing) computable, but in which no competitive equilibrium is computable. This result can be interpreted as an impossibility result in both computability-bounded rationality (cf. Binmore [5], Richter and Wong [35]) and computational economics (cf. Scarf [39]). To prove the theorem, we establish a "computable counterexample" to Brouwer's Fixed Point Theorem (similar to Orevkov [32]) and a computable analogue of a characterization of excess demand functions (cf. Mas-Colell [26], Geanakoplos [16], Wong [50]).

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://link.springer.de/link/service/journals/00199/papers/9014001/90140001.pdf
Download Restriction: Access to the full text of the articles in this series is restricted

As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.

Bibliographic Info

Article provided by Springer in its journal Economic Theory.

Volume (Year): 14 (1999)
Issue (Month): 1 ()
Pages: 1-27

as in new window
Handle: RePEc:spr:joecth:v:14:y:1999:i:1:p:1-27

Note: Received: September 9, 1997; revised version: December 17, 1997
Contact details of provider:
Web page: http://link.springer.de/link/service/journals/00199/index.htm

Order Information:
Web: http://link.springer.de/orders.htm

Related research

Keywords: Bounded rationality; Computability; General equilibrium; Recursive analysis.;

Find related papers by JEL classification:

References

No references listed on IDEAS
You can help add them by filling out this form.

Citations

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

Cited by:
  1. K.Schmedders & F.Kubler, 2004. "Approximate Versus Exact Equilibria," Computing in Economics and Finance 2004, Society for Computational Economics 46, Society for Computational Economics.
  2. Kumabe, Masahiro & Mihara, H. Reiju, 2008. "Computability of simple games: A characterization and application to the core," Journal of Mathematical Economics, Elsevier, vol. 44(3-4), pages 348-366, February.
  3. Gaffeo, E. & Catalano, M. & Clementi, F. & Delli Gatti, D. & Gallegati, M. & Russo, A., 2007. "Reflections on modern macroeconomics: Can we travel along a safer road?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 382(1), pages 89-97.
  4. David Colander & Richard P.F. Holt & J. Barkley Rosser, 2010. "The Complexity Era in Economics," Middlebury College Working Paper Series 1001, Middlebury College, Department of Economics.
  5. Prasad, Kislaya, 2009. "The rationality/computability trade-off in finite games," Journal of Economic Behavior & Organization, Elsevier, vol. 69(1), pages 17-26, January.
  6. Felix Kuber & Karl Schmedders, 2007. "Competitive Equilibria in Semi-Algebraic Economies," PIER Working Paper Archive 07-013, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
  7. Miyake, Mitsunobu, 2003. "Precise computation of a competitive equilibrium of the discrete land market model," Regional Science and Urban Economics, Elsevier, vol. 33(6), pages 721-743, October.
  8. Potgieter, Petrus H. & Rosinger, Elemér E., 2007. "Is Economics Entering its Post-Witchcraft Era?," MPRA Paper 3340, University Library of Munich, Germany.
  9. Edoardo Gaffeo & Domenico Delli Gatti & Saul Desiderio & Mauro Gallegati, 2008. "Adaptive Microfoundations for Emergent Macroeconomics," Eastern Economic Journal, Palgrave Macmillan, vol. 34(4), pages 441-463.
  10. Tolentino, P. E., 2004. "Computable Economics: the Arne Ryde Memorial Lecture Series: Kumaraswamy Velupillai (Ed.), Oxford University Press, Oxford, Vol. xiii, 2000, 222 pp., Index," Journal of Economic Behavior & Organization, Elsevier, vol. 54(3), pages 445-449, July.

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:spr:joecth:v:14:y:1999:i:1:p:1-27. 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: (Guenther Eichhorn) or (Christopher F Baum).

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.