IDEAS home Printed from https://ideas.repec.org/
MyIDEAS: Login to save this paper or follow this series

The limit-price exchange process

We define a continuous-time trading process for Arrow-Debreu exchange economies such that (1) At each time, myopic traders play a (weakly) dominant strategy in Mertens' (2003) limit price strategic market game ; (2) existence of continuous trade curves holds under weak conditions and in particular even if there is no static Walras equilibrium ; (3) every trade curve converges to some Pareto optimal point ; (4) for a generic choice of utilities and initial endowments, there is a piecewise unique trade curve, which is smooth and depends continuously upon initial conditions ; (5) in the 2 x 2 case, for every interior starting point, the vector field corresponding to our dynamics is real-analytic ; moreover, trade and price curves can be fully characterized and numerically simulated.

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: ftp://mse.univ-paris1.fr/pub/mse/cahiers2004/B04118.pdf
Download Restriction: no

Paper provided by Université Panthéon-Sorbonne (Paris 1) in its series Cahiers de la Maison des Sciences Economiques with number b04118.

as
in new window

Length: 54 pages
Date of creation: Sep 2004
Date of revision:
Handle: RePEc:mse:wpsorb:b04118
Contact details of provider: Postal: 106 - 112 boulevard de l'Hôpital, 75647 Paris cedex 13
Phone: 01 44 07 81 00
Fax: 01 44 07 81 09
Web page: http://mse.univ-paris1.fr/Email:


More information through EDIRC

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. Hurwicz, Leonid & Radner, Roy & Reiter, Stanley, 1975. "A Stochastic Decentralized Resource Allocation Process: Part II," Econometrica, Econometric Society, vol. 43(3), pages 363-93, May.
  2. Sonnenschein, Hugo, 1973. "Do Walras' identity and continuity characterize the class of community excess demand functions?," Journal of Economic Theory, Elsevier, vol. 6(4), pages 345-354, August.
  3. Lo, Andrew W. & MacKinlay, A. Craig & Zhang, June, 2002. "Econometric models of limit-order executions," Journal of Financial Economics, Elsevier, vol. 65(1), pages 31-71, July.
  4. DREZE, Jacques H., . "Existence of an exchange equilibrium under price rigidites," CORE Discussion Papers RP -225, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  5. Martin Shubik & Pradeep Dubey & Siddhartha Sahi, 1989. "Repeated Trade and the Velocity of Money," Cowles Foundation Discussion Papers 895, Cowles Foundation for Research in Economics, Yale University.
  6. MERTENS , Jean-François, 1996. "The limit-price mechanism," CORE Discussion Papers 1996050, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  7. Florenzano, Monique & Moreno Garcia, Emma, 1996. "Linear exchange economies with a continuum of agents," CEPREMAP Working Papers (Couverture Orange) 9609, CEPREMAP.
  8. Dubey, Pradeep & Mas-Colell, Andreau & Shubik, Martin, 1980. "Efficiency properties of strategies market games: An axiomatic approach," Journal of Economic Theory, Elsevier, vol. 22(2), pages 339-362, April.
  9. Ritzberger, Klaus & Weibull, Jorgen W, 1995. "Evolutionary Selection in Normal-Form Games," Econometrica, Econometric Society, vol. 63(6), pages 1371-99, November.
  10. Smale, Stephen, 1976. "Exchange processes with price adjustment," Journal of Mathematical Economics, Elsevier, vol. 3(3), pages 211-226, December.
  11. Mantel, Rolf R., 1976. "Homothetic preferences and community excess demand functions," Journal of Economic Theory, Elsevier, vol. 12(2), pages 197-201, April.
  12. Sayantan Ghosal & Massimo Morelli, 2002. "Retrading in Market Games," Economics Working Papers 0012, Institute for Advanced Study, School of Social Science.
  13. Jean-Marc Bonnisseau & Michael Florig, 2003. "Existence and optimality of oligopoly equilibria in linear exchange economies," Economic Theory, Springer, vol. 22(4), pages 727-741, November.
  14. Aldo Rustichini, 1992. "Convergence to Efficiency in a Simple Market with Incomplete Information," Discussion Papers 995, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  15. Daniel Friedman, 1982. "Price Formation in Double Auction Markets," UCLA Economics Working Papers 278, UCLA Department of Economics.
  16. 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.
  17. Bottazzi, Jean-Marc & De Meyer, Bernard, 2003. "A market game for assets and taxed investors," Journal of Mathematical Economics, Elsevier, vol. 39(5-6), pages 657-675, July.
  18. Dimitrios P Tsomocos & Gael Giraud, 2004. "Global Uniqueness and Money Non-neutrality in a Walrasian Dynamics without Rational Expectations," Economics Series Working Papers 2004-FE-15, University of Oxford, Department of Economics.
  19. Gale, Douglas M, 1986. "Bargaining and Competition Part II: Existence," Econometrica, Econometric Society, vol. 54(4), pages 807-18, July.
  20. Alok Kumar & Martin Shubik, 2004. "Variations on the Theme of Scarf's Counter-Example," Computational Economics, Society for Computational Economics, vol. 24(1), pages 1-19, 08.
  21. Smale, S., 1974. "Global analysis and economics v : Pareto theory with constraints," Journal of Mathematical Economics, Elsevier, vol. 1(3), pages 213-221, December.
  22. Champsaur, Paul & Dreze, Jacques H & Henry, Claude, 1977. "Stability Theorems with Economic Applications," Econometrica, Econometric Society, vol. 45(2), pages 273-94, March.
  23. Flaschel, Peter, 1991. "Stability--independent of economic structure? A prototype analysis," Structural Change and Economic Dynamics, Elsevier, vol. 2(1), pages 9-35, June.
  24. Sahi, Siddhartha & Yao, Shuntian, 1989. "The non-cooperative equilibria of a trading economy with complete markets and consistent prices," Journal of Mathematical Economics, Elsevier, vol. 18(4), pages 325-346, September.
  25. Smale, S., 1974. "Global analysis and economics III : Pareto Optima and price equilibria," Journal of Mathematical Economics, Elsevier, vol. 1(2), pages 107-117, August.
  26. Tideman, T Nicolaus & Tullock, Gordon, 1976. "A New and Superior Process for Making Social Choices," Journal of Political Economy, University of Chicago Press, vol. 84(6), pages 1145-59, December.
  27. Bottazzi, Jean-Marc, 1994. "Accessibility of Pareto optima by Walrasian exchange processes," Journal of Mathematical Economics, Elsevier, vol. 23(6), pages 585-603, November.
  28. Saari, Donald G & Simon, Carl P, 1978. "Effective Price Mechanisms," Econometrica, Econometric Society, vol. 46(5), pages 1097-1125, September.
  29. Eaves, B. Curtis, 1976. "A finite algorithm for the linear exchange model," Journal of Mathematical Economics, Elsevier, vol. 3(2), pages 197-203, July.
  30. Champsaur, P. & Cornet, B., 1989. "Walrasian Exchange Processes," CORE Discussion Papers 1989030, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  31. DE MICHELIS, Stefano, 2000. "On the index and asymptotic stability of dynamics," CORE Discussion Papers 2000018, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  32. Gode, Dhananjay K & Sunder, Shyam, 1993. "Allocative Efficiency of Markets with Zero-Intelligence Traders: Market as a Partial Substitute for Individual Rationality," Journal of Political Economy, University of Chicago Press, vol. 101(1), pages 119-37, February.
  33. Schecter, Stephen, 1977. "Accessibility of optima in pure exchange economies," Journal of Mathematical Economics, Elsevier, vol. 4(3), pages 197-216, December.
  34. Wilson, Robert, 1992. "Strategic analysis of auctions," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 8, pages 227-279 Elsevier.
  35. Giraud, Gael, 2003. "Strategic market games: an introduction," Journal of Mathematical Economics, Elsevier, vol. 39(5-6), pages 355-375, July.
  36. Gale, Douglas M, 1986. "Bargaining and Competition Part I: Characterization," Econometrica, Econometric Society, vol. 54(4), pages 785-806, July.
  37. Florig, Michael, 1998. "A note on different concepts of generalized equilibria," Journal of Mathematical Economics, Elsevier, vol. 29(3), pages 245-254, April.
Full references (including those not matched with items on IDEAS)

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

When requesting a correction, please mention this item's handle: RePEc:mse:wpsorb:b04118. 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: (Lucie Label)

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.

This information is provided to you by IDEAS at the Research Division of the Federal Reserve Bank of St. Louis using RePEc data.