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Equilibria with coordination failures

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Author Info
Herings, P. Jean-Jacques
van der Laan, Gerard
Talman, Dolf

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Abstract

This paper extends the literature on equilibria with coordination failures to arbitrary convex sets of admissible prices. This makes it possible to address coordination failures for cases with price indexation or more general price linkages between commodities. We introduce a new equilibrium concept, called quantity constrained equilibrium (QCE), giving a unified treatment to all cases considered in the literature so far. At a QCE the expected trade opportunities on supply and demand are completely determined by a rationing vector satisfying that the prevailing price system maximizes the value of the rationing vector within the set of admissible prices. When the set of admissible prices is compact, we show the existence of a connected set of QCEs. This set connects two trivial no-trade equilibria, one with completely pessimistic expectations concerning supply opportunities and one with completely pessimistic expectations concerning demand opportunities. Moreover, the set contains for every commodity a generalized Drèze equilibrium, being a QCE at which for that commodity no binding trade opportunities on both supply and demand are expected, and also a generalized supply-constrained equilibrium at which no binding constraints on demand opportunities are expected and for at least one commodity also not on supply. We apply this main result to several special cases, and also discuss the case of an unbounded set of admissible prices.

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Publisher Info
Article provided by Elsevier in its journal Journal of Mathematical Economics.

Volume (Year): 45 (2009)
Issue (Month): 1-2 (January)
Pages: 23-37
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Handle: RePEc:eee:mateco:v:45:y:2009:i:1-2:p:23-37

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Web page: http://www.elsevier.com/locate/jmateco

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Related research
Keywords: Exchange economy Rationing Coordination failures Price rigidities;

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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. van der Laan, Gerard, 1980. "Equilibrium under Rigid Prices with Compensation for the consumers," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 21(1), pages 63-73, February. [Downloadable!] (restricted)
  2. Herings, P Jean-Jacques, 1996. "Equilibrium Existence Results for Economies with Price Rigidities," Economic Theory, Springer, vol. 7(1), pages 63-80, January.
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  3. Laan, Gerard van der, 1982. "Simplicial approximation of unemployment equilibria," Journal of Mathematical Economics, Elsevier, vol. 9(1-2), pages 83-97, January. [Downloadable!] (restricted)
  4. P. Herings & Herakles Polemarchakis, 2005. "Pareto improving price regulation when the asset market is incomplete," Economic Theory, Springer, vol. 25(1), pages 135-154, 01. [Downloadable!] (restricted)
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  5. Jacques H.DREZE, 2001. "On the Macroeconomics of Uncertainty and Incomplete Markets," Discussion Papers (REL - Recherches Economiques de Louvain) 2001011, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES). [Downloadable!]
  6. van der Laan, Gerard, 1984. "Supply-constrained fixed price equilibria in monetary economies," Journal of Mathematical Economics, Elsevier, vol. 13(2), pages 171-187, October. [Downloadable!] (restricted)
  7. Nguyen, Trien T & Whalley, John, 1990. "General Equilibrium Analysis of Price Controls: A Computational Approach," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 31(3), pages 667-84, August. [Downloadable!] (restricted)
  8. Herings, P. Jean-Jacques, 1998. "On the existence of a continuum of constrained equilibria1," Journal of Mathematical Economics, Elsevier, vol. 30(3), pages 257-273, October. [Downloadable!] (restricted)
  9. Weddepohl, Claus, 1987. "Supply-constrained equilibria in economies with indexed prices," Journal of Economic Theory, Elsevier, vol. 43(2), pages 203-222, December. [Downloadable!] (restricted)
  10. Nguyen, Trien T. & Whalley, John, 1986. "Equilibrium under price controls with endogenous transactions costs," Journal of Economic Theory, Elsevier, vol. 39(2), pages 290-300, August. [Downloadable!] (restricted)
  11. CITANNA, Alessandro & CRES, Herve & DREZE, Jacques & HERINGS, Jean-Jacques & VILLANACCI, Antonio, 2001. "Continua of underemployment equilibria reflecting coordination failures, also at Walrasian prices," Les Cahiers de Recherche 732, HEC Paris. [Downloadable!]
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  12. Dehez, Pierre & Dreze, Jacques H., 1984. "On supply-constrained equilibria," Journal of Economic Theory, Elsevier, vol. 33(1), pages 172-182, 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. Babenko, Roman & Talman, Dolf, 2006. "Quantity constrained general equilibrium," Discussion Paper 125, Tilburg University, Center for Economic Research. [Downloadable!]
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