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Continua of underemployment equilibria

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Author Info
Herings, P.J.J.
Dreze, J.H. (Tilburg University, Center for Economic Research)

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Abstract

In this paper the existence of unemployment is partly explained as being the result of coordination failures. This is achieved by considering a standard general equilibriummodel and splitting the set of commodities in two groups. The first group contains commodities like gold. The prices of these commodities are fully flexible, even in the short run, and their markets always clear. The prices of the commodities in the second group are rigid in the short run (for instance labour services or some consumer goods) and households and firms may expect restricted supply possibilities. We show that such expectations are self-enforcing, even if all prices of commodities in the second group are competitive. In that case it is shown that as a result of coordination failures a continuum of equilibria results, among which an equilibrium with approximately no trade in the commodities of the second group, and a Walrasian equilibrium. In fact, these coordination failures also arise at other price systems, but then unemployment is the result of both a wrong price system and coordination failures. Moreover, some properties of the set of equilibria are analysed. Generically, there exists a continuum of non-indifferent equilibrium allocations. Under a condition implied by gross substitutability, there exists a continuum of equilibrium allocations in the neighbourhood of a competitive allocation. Examples show that the latter property may not hold in general.

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Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 5.

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Date of creation: 1998
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Handle: RePEc:dgr:kubcen:19985

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Related research
Keywords: coordination;

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Find related papers by JEL classification:
C62 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Existence and Stability Conditions of Equilibrium
D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies

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.:

  1. Benassy, Jean-Pascal, 1975. "Neo-Keynesian Disequilibrium Theory in a Monetary Economy," Review of Economic Studies, Blackwell Publishing, vol. 42(4), pages 503-23, October. [Downloadable!] (restricted)
    Other versions:
  2. Kurz, Mordecai, 1982. "Unemployment equilibrium in an economy with linked prices," Journal of Economic Theory, Elsevier, vol. 26(1), pages 100-123, February. [Downloadable!] (restricted)
  3. Herings, J.J., 1993. "On the Connectedness of the Set of Constrained Equilibria," Papers 9363, Tilburg - Center for Economic Research.
  4. Movshovich, Solomon M., 1994. "A price adjustment process in a rationed economy," Journal of Mathematical Economics, Elsevier, vol. 23(4), pages 305-321, July. [Downloadable!] (restricted)
  5. Alessandro Citanna & Herve Cres & Antonio Villancci, . ""Underemployment of Resources and Self-Confirming Beliefs''," CARESS Working Papres 95-20, University of Pennsylvania Center for Analytic Research and Economics in the Social Sciences. [Downloadable!]
  6. Heller, Walter Perrin & Starr, Ross M, 1979. "Unemployment Equilibrium with Myopic Complete Information," Review of Economic Studies, Blackwell Publishing, vol. 46(2), pages 339-59, April. [Downloadable!] (restricted)
  7. DREZE, Jacques H., 1997. "Walras-Keynes equilibria coordination and macroeconomics," CORE Discussion Papers 1997051, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  8. 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)
  9. 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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  10. Silvestre, Joaquin, 1980. "Continua of Hahn-unsatisfactory equilibria : Some examples," Economics Letters, Elsevier, vol. 5(3), pages 201-208. [Downloadable!] (restricted)
  11. 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)
  12. Laroque, Guy, 1978. "The Fixed Price Equilibria: Some Results in Local Comparative Statics," Econometrica, Econometric Society, vol. 46(5), pages 1127-54, September. [Downloadable!] (restricted)
  13. Polterovich, V. M. & Spivak, V. A., 1983. "Gross substitutability of point-to-set correspondences," Journal of Mathematical Economics, Elsevier, vol. 11(2), pages 117-140, April. [Downloadable!] (restricted)
  14. Benassy, Jean-Pascal, 1993. "Nonclearing Markets: Microeconomic Concepts and Macroeconomic Applications," Journal of Economic Literature, American Economic Association, vol. 31(2), pages 732-61, June. [Downloadable!] (restricted)
  15. Laroque, Guy & Polemarchakis, Heraklis, 1978. "On the structure of the set of fixed price equilibria," Journal of Mathematical Economics, Elsevier, vol. 5(1), pages 53-69, March. [Downloadable!] (restricted)
  16. Roberts, John, 1987. "An Equilibrium Model with Involuntary Unemployment at Flexible, Competitive Prices and Wages," American Economic Review, American Economic Association, vol. 77(5), pages 856-74, December. [Downloadable!] (restricted)
  17. Jones, Larry E & Manuelli, Rodolfo E, 1992. "The Coordination Problem and Equilibrium Theories of Recessions," American Economic Review, American Economic Association, vol. 82(3), pages 451-71, June. [Downloadable!] (restricted)
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  18. Dreze, Jacques H., 1997. "Walras--Keynes equilibria coordination and macroeconomics," European Economic Review, Elsevier, vol. 41(9), pages 1735-1762, December. [Downloadable!] (restricted)
  19. 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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(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. DREZE, Jacques, 1999. "On the macroeconomics of uncertainty and incomplete markets," CORE Discussion Papers 1999064, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE). [Downloadable!]
  2. Sander van der Hoog, 2004. "Credit and Cash-in-Advance in Disequilibrium Models," Computing in Economics and Finance 2004 294, Society for Computational Economics. [Downloadable!]
  3. Herings, P.J.J. & Laan, G. van der & Talman, D., 1998. "Price-quantity adjustment in a Keynesian economy," Discussion Paper 118, Tilburg University, Center for Economic Research. [Downloadable!]
    Other versions:
  4. Citanna,Alessandro & Cres,Herve & Dreze,Jacques & Herings,P. Jean-Jacques & Villanacci,Antonio, 2001. "Underemployment of Resources and Self-fulfilling Beliefs: Non-Walrasian Allocations at Walrasian Prices," Research Memoranda 003, Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization. [Downloadable!]
    Other versions:
  5. DRéZE, Jacques, 2001. "Indeterminateness of equilibria and macroeconomics," CORE Discussion Papers 2001058, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE). [Downloadable!]
  6. 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!]
  7. Herings,P. Jean-Jacques, 2001. "Coordinating Thoughts on Coordination Failures," Research Memoranda 018, Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization. [Downloadable!]
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