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The limit-price exchange process

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  • 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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Bibliographic Info

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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References

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  1. 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.
  2. 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.
  3. Champsaur, P. & Cornet, B., 1989. "Walrasian Exchange Processes," CORE Discussion Papers 1989030, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  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.
  5. Mantel, Rolf R., 1976. "Homothetic preferences and community excess demand functions," Journal of Economic Theory, Elsevier, vol. 12(2), pages 197-201, April.
  6. Florenzano, Monique & Moreno García, Emma, . "Linear exchange economies with a continuum of agents," Open Access publications from Universidad Carlos III de Madrid info:hdl:10016/3969, Universidad Carlos III de Madrid.
  7. Daniel Friedman, 1982. "Price Formation in Double Auction Markets," UCLA Economics Working Papers 278, UCLA Department of Economics.
  8. 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.
  9. Florig, Michael, 1998. "A note on different concepts of generalized equilibria," Journal of Mathematical Economics, Elsevier, vol. 29(3), pages 245-254, April.
  10. Gale, Douglas M, 1986. "Bargaining and Competition Part I: Characterization," Econometrica, Econometric Society, vol. 54(4), pages 785-806, July.
  11. Saari, Donald G & Simon, Carl P, 1978. "Effective Price Mechanisms," Econometrica, Econometric Society, vol. 46(5), pages 1097-1125, September.
  12. Massimo Morelli & Sayantan Ghosal, 2001. "Retrading in Market Games," Working Papers 01-09, Ohio State University, Department of Economics.
  13. Bottazzi, Jean-Marc, 1994. "Accessibility of Pareto optima by Walrasian exchange processes," Journal of Mathematical Economics, Elsevier, vol. 23(6), pages 585-603, November.
  14. 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.
  15. 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.
  16. 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.
  17. 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.
  18. Champsaur, Paul & Dreze, Jacques H & Henry, Claude, 1977. "Stability Theorems with Economic Applications," Econometrica, Econometric Society, vol. 45(2), pages 273-94, March.
  19. 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.
  20. MERTENS , Jean-François, 1996. "The limit-price mechanism," CORE Discussion Papers 1996050, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  21. 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.
  22. 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.
  23. Schecter, Stephen, 1977. "Accessibility of optima in pure exchange economies," Journal of Mathematical Economics, Elsevier, vol. 4(3), pages 197-216, December.
  24. Smale, S., 1974. "Global analysis and economics v : Pareto theory with constraints," Journal of Mathematical Economics, Elsevier, vol. 1(3), pages 213-221, December.
  25. 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.
  26. Ritzberger, Klaus & Weibull, Jorgen W, 1995. "Evolutionary Selection in Normal-Form Games," Econometrica, Econometric Society, vol. 63(6), pages 1371-99, November.
  27. Giraud, Gael, 2003. "Strategic market games: an introduction," Journal of Mathematical Economics, Elsevier, vol. 39(5-6), pages 355-375, July.
  28. Eaves, B. Curtis, 1976. "A finite algorithm for the linear exchange model," Journal of Mathematical Economics, Elsevier, vol. 3(2), pages 197-203, July.
  29. 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.
  30. 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).
  31. repec:fth:louvco:2000/18 is not listed on IDEAS
  32. Alok Kumar & Martin Shubik, 2001. "Variations on the Theme of Scarf's Counter-Example," Working Papers 01-12-074, Santa Fe Institute.
  33. 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.
  34. 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.
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Citations

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Cited by:
  1. Gaël Giraud, 2010. "Financial crashes versus liquidity trap : the dilemma of monetary policy," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00657047, HAL.
  2. Gaël Giraud, 2010. "Financial Crashes versus liquidity trap : the dilemma of monetary policy," Documents de travail du Centre d'Economie de la Sorbonne 10014, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
  3. Gaël Giraud & Céline Rochon, 2010. "Transition to Equilibrium in International Trades," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00657038, HAL.
  4. Gaël Giraud & Dimitrios P. Tsomocos, 2010. "Nominal Uniqueness and Money Non-neutrality in the Limit-Price Exchange Process," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00505141, HAL.
  5. Gaël Giraud & Céline Rochon, 2010. "Transition to Equilibrium in International Trades," Documents de travail du Centre d'Economie de la Sorbonne 10012, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
  6. Gaël Giraud & Céline Rochon, 2010. "Transition to Equilibrium in International Trades," Post-Print halshs-00657038, HAL.
  7. Gaël Giraud, 2004. "Walrasian non-tâtonnement with incomplete and imperfect markets," Cahiers de la Maison des Sciences Economiques b04119, Université Panthéon-Sorbonne (Paris 1).

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