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Continua of underemployment equilibria reflecting coordination failures, also at Walrasian prices

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Author Info

  • CITANNA, Alessandro
  • CRES, Herve
  • DREZE, Jacques

    (CORE, Universite Catholique de Louvain)

  • HERINGS, Jean-Jacques

    (University of Maastricht)

  • VILLANACCI, Antonio

    (Universita degli Studi, Firenze)

Abstract

In this paper the existence of unemployment is partly explained as being the result of coordination failures. It is shown that as a result of self-fulfilling pessimistic expectations, even at Walrasian prices, a continuum of equilibria results, among which an equilibrium with approximately no trade and a Walrasian equilibrium. These coordination failures also arise at other price systems, but then unemployment is the result of both a wrong price system and coordination failures. Some properties of the set of equilibria are analyzed. 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 neighborhood of a competitive allocation, when prices are Walrasian. For a specialized economy, a dynamic illustration is offered.

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Bibliographic Info

Paper provided by HEC Paris in its series Les Cahiers de Recherche with number 732.

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Length: 33 pages
Date of creation: 01 May 2001
Date of revision:
Handle: RePEc:ebg:heccah:0732

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Postal: HEC Paris, 78351 Jouy-en-Josas cedex, France
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Keywords: general equilibrium; underemployment; coordination failures; indeterminacy;

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References

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  1. Movshovich, Solomon M., 1994. "A price adjustment process in a rationed economy," Journal of Mathematical Economics, Elsevier, vol. 23(4), pages 305-321, July.
  2. Herings, P.J.J. & Dreze, J., 1998. "Continua of Underemployment Equilibria," Discussion Paper 1998-05, Tilburg University, Center for Economic Research.
  3. Herings, P.J.J., 1992. "On the structure of constrained equilibria," Research Memorandum 587, Tilburg University, Faculty of Economics and Business Administration.
  4. Cooper, Russell & John, Andrew, 1988. "Coordinating Coordination Failures in Keynesian Models," The Quarterly Journal of Economics, MIT Press, vol. 103(3), pages 441-63, August.
  5. van der LAAN, Gerard, . "Simplicial approximation of unemployment equilibria," CORE Discussion Papers RP -467, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  6. 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).
  7. 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.
  8. P. Jean-Jacques Herings, 1995. "Equilibrium existence results for economies with price rigidities," Economic Theory, Springer, vol. 7(1), pages 63-80.
  9. Drazen, Allan, 1980. "Recent Developments in Macroeconomic Disequilibrium Theory," Econometrica, Econometric Society, vol. 48(2), pages 283-306, March.
  10. Kurz, Mordecai, 1982. "Unemployment equilibrium in an economy with linked prices," Journal of Economic Theory, Elsevier, vol. 26(1), pages 100-123, February.
  11. Laroque, Guy, 1978. "The Fixed Price Equilibria: Some Results in Local Comparative Statics," Econometrica, Econometric Society, vol. 46(5), pages 1127-54, September.
  12. 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.
  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.
  14. 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.
  15. 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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Cited by:
  1. Jacques H. Drèze & P. Jean-Jacques Herings, 2008. "Kinky perceived demand curves and Keynes-Negishi equilibria," International Journal of Economic Theory, The International Society for Economic Theory, vol. 4(2), pages 207-246.
  2. Herings, P. Jean-Jacques & Konovalov, Alexander, 2009. "Constrained suboptimality when prices are non-competitive," Journal of Mathematical Economics, Elsevier, vol. 45(1-2), pages 43-58, January.
  3. DRÈZE, Jacques, 2001. "Indeterminateness of equilibria and macroeconomics," CORE Discussion Papers 2001058, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  4. P. Jean-Jacques Herings & Gerard van der Laan & Dolf Talman, 2001. "Quantity Constrained Equilibria," Tinbergen Institute Discussion Papers 01-116/1, Tinbergen Institute.
  5. Gersbach, Hans & Haller, Hans, 2010. "Hierarchical Trade," CEPR Discussion Papers 7764, C.E.P.R. Discussion Papers.
  6. Drèze, Jacques H. & Herings, P. Jean-Jacques, 2008. "Sequentially complete markets remain incomplete," Economics Letters, Elsevier, vol. 100(3), pages 445-447, September.
  7. Herings, P.J.J. & Laan, G. van der & Talman, A.J.J., 2004. "Equilibria with Coordination Failures," Discussion Paper 2004-107, Tilburg University, Center for Economic Research.

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