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

  • Citanna, Alessandro
  • Cres, Herve
  • Dreze, Jacques
  • Herings, P. Jean-Jacques
  • Villanacci, Antonio

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

Volume (Year): 36 (2001)
Issue (Month): 3 (December)
Pages: 169-200

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Handle: RePEc:eee:mateco:v:36:y:2001:i:3:p:169-200
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  1. 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.
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  3. 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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  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.
  9. Laroque, Guy, 1978. "The Fixed Price Equilibria: Some Results in Local Comparative Statics," Econometrica, Econometric Society, vol. 46(5), pages 1127-54, September.
  10. 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).
  11. Herings, P.J.J., 1992. "On the structure of constrained equilibria," Research Memorandum FEW 587, Tilburg University, School of Economics and Management.
  12. Gérard Debreu (ed.), 1996. "General Equilibrium Theory," Books, Edward Elgar, volume 0, number 548, Autumn.
  13. Drazen, Allan, 1980. "Recent Developments in Macroeconomic Disequilibrium Theory," Econometrica, Econometric Society, vol. 48(2), pages 283-306, March.
  14. 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.
  15. 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.
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