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The limit-price exchange process

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Author Info
Gaël Giraud () (CERMSEM)
Abstract

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.

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

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Length: 54 pages
Date of creation: Sep 2004
Date of revision:
Handle: RePEc:mse:wpsorb:b04118

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Related research
Keywords: Non-tâtonnement; price-quantity dynamics; temporary equilibrium; limit-price mechanism; myopia.;

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Find related papers by JEL classification:
C61 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Optimization Techniques; Programming Models; Dynamic Analysis
C62 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Existence and Stability Conditions of Equilibrium
C68 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Computable General Equilibrium Models
D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General

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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.:
  1. Gael Giraud & Dimitrios Tsomocos, 2004. "Global Uniqueness and Money Non-neutrality in a Walrasian Dynamics without Rational Expectations," OFRC Working Papers Series 2004fe15, Oxford Financial Research Centre. [Downloadable!]
    Other versions:
  2. 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. [Downloadable!] (restricted)
  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. [Downloadable!] (restricted)
    Other versions:
  4. 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. [Downloadable!] (restricted)
  5. Schecter, Stephen, 1977. "Accessibility of optima in pure exchange economies," Journal of Mathematical Economics, Elsevier, vol. 4(3), pages 197-216, December. [Downloadable!] (restricted)
  6. Mantel, Rolf R., 1976. "Homothetic preferences and community excess demand functions," Journal of Economic Theory, Elsevier, vol. 12(2), pages 197-201, April. [Downloadable!] (restricted)
  7. Dubey, Pradeep & Sahi, Siddharta & Shubik, Martin, 1993. "Repeated trade and the velocity of money," Journal of Mathematical Economics, Elsevier, vol. 22(2), pages 125-137. [Downloadable!] (restricted)
    Other versions:
  8. Smale, S., 1974. "Global analysis and economics v : Pareto theory with constraints," Journal of Mathematical Economics, Elsevier, vol. 1(3), pages 213-221, December. [Downloadable!] (restricted)
  9. 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. [Downloadable!] (restricted)
  10. 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. [Downloadable!] (restricted)
  11. Ritzberger, Klaus & Weibull, Jorgen W, 1995. "Evolutionary Selection in Normal-Form Games," Econometrica, Econometric Society, vol. 63(6), pages 1371-99, November. [Downloadable!] (restricted)
  12. Florig, Michael, 1998. "A note on different concepts of generalized equilibria," Journal of Mathematical Economics, Elsevier, vol. 29(3), pages 245-254, April. [Downloadable!] (restricted)
  13. Gale, Douglas M, 1986. "Bargaining and Competition Part I: Characterization," Econometrica, Econometric Society, vol. 54(4), pages 785-806, July. [Downloadable!] (restricted)
  14. Saari, Donald G & Simon, Carl P, 1978. "Effective Price Mechanisms," Econometrica, Econometric Society, vol. 46(5), pages 1097-1125, September. [Downloadable!] (restricted)
  15. Giraud, Gael, 2003. "Strategic market games: an introduction," Journal of Mathematical Economics, Elsevier, vol. 39(5-6), pages 355-375, July. [Downloadable!] (restricted)
  16. Hurwicz, Leonid & Radner, Roy & Reiter, Stanley, 1975. "A Stochastic Decentralized Resource Allocation Process: Part I," Econometrica, Econometric Society, vol. 43(2), pages 187-221, March. [Downloadable!] (restricted)
    Other versions:
  17. Bottazzi, Jean-Marc, 1994. "Accessibility of Pareto optima by Walrasian exchange processes," Journal of Mathematical Economics, Elsevier, vol. 23(6), pages 585-603, November. [Downloadable!] (restricted)
  18. Eaves, B. Curtis, 1976. "A finite algorithm for the linear exchange model," Journal of Mathematical Economics, Elsevier, vol. 3(2), pages 197-203, July. [Downloadable!] (restricted)
  19. Rustichini, Aldo & Satterthwaite, Mark A & Williams, Steven R, 1994. "Convergence to Efficiency in a Simple Market with Incomplete Information," Econometrica, Econometric Society, vol. 62(5), pages 1041-63, September. [Downloadable!] (restricted)
  20. 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. [Downloadable!] (restricted)
  21. Mertens, J. F., 2003. "The limit-price mechanism," Journal of Mathematical Economics, Elsevier, vol. 39(5-6), pages 433-528, July. [Downloadable!] (restricted)
    Other versions:
  22. 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). [Downloadable!]
  23. 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. [Downloadable!] (restricted)
  24. 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. [Downloadable!] (restricted)
  25. Sayantan Ghosal & Massimo Morelli, 2002. "Retrading in Market Games," Economics Working Papers 0012, Institute for Advanced Study, School of Social Science. [Downloadable!]
    Other versions:
  26. Monique Florenzano & Emma Moreno-García, 2001. "Linear exchange economies with a continuum of agents," Spanish Economic Review, Springer, vol. 3(4), pages 253-272. [Downloadable!] (restricted)
    Other versions:
  27. Alok Kumar & Martin Shubik, 2001. "Variations on the Theme of Scarf's Counter-Example," Working Papers 01-12-074, Santa Fe Institute.
    Other versions:
  28. Cason, Timothy N. & Friedman, Daniel, 1996. "Price formation in double auction markets," Journal of Economic Dynamics and Control, Elsevier, vol. 20(8), pages 1307-1337, August. [Downloadable!] (restricted)
    Other versions:
  29. 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. [Downloadable!] (restricted)
  30. Champsaur, Paul & Dreze, Jacques H & Henry, Claude, 1977. "Stability Theorems with Economic Applications," Econometrica, Econometric Society, vol. 45(2), pages 273-94, March. [Downloadable!] (restricted)
  31. Dreze, Jacques H, 1975. "Existence of an Exchange Equilibrium under Price Rigidities," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 16(2), pages 301-20, June. [Downloadable!] (restricted)
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Cited by:
(explanations, 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.)

  1. Gaël Giraud, 2004. "Walrasian non-tâtonnement with incomplete and imperfect markets," Cahiers de la Maison des Sciences Economiques b04119, Université Panthéon-Sorbonne (Paris 1). [Downloadable!]
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