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Equilibrium Existence Results for Economies with Price Rigidities

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  • Herings, P Jean-Jacques

Abstract

An exchange economy with price rigidities and rationing is considered. The rationing systems allowed are very general. Several characterizations of the set of constrained equilibria are given, and new equilibrium existence results are provided. More specifically, well-known properties like the existence of equilibria without rationing of the numeraire commodity, and the existence of supply and demand constrained equilibria without rationing on the market of at least one commodity follow as special cases from the theorems proved. Finally it is shown that the equilibrium correspondence is upper semi-continuous, while it is continuous on a residual set of points. In order to prove these results a new continuity result for the budget correspondence is given.

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Bibliographic Info

Article provided by Springer in its journal Economic Theory.

Volume (Year): 7 (1996)
Issue (Month): 1 (January)
Pages: 63-80

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Handle: RePEc:spr:joecth:v:7:y:1996:i:1:p:63-80

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References

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  1. Weddepohl, Claus, 1983. "Fixed price equilibria in a multifirm model," Journal of Economic Theory, Elsevier, vol. 29(1), pages 95-108, February.
  2. 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.
  3. Laan, G. van der & Talman, A.J.J., 1989. "Price rigidities and rationing," Discussion Paper 1989-13, Tilburg University, Center for Economic Research.
  4. 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.
  5. Wu, Ho-Mou, 1988. "Unemployment equilibrium in a random economy," Journal of Mathematical Economics, Elsevier, vol. 17(4), pages 385-400, September.
  6. Kurz, Mordecai, 1982. "Unemployment equilibrium in an economy with linked prices," Journal of Economic Theory, Elsevier, vol. 26(1), pages 100-123, February.
  7. 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.
  8. Benassy Jean-pascal, 1974. "Neokeynesian disequilibrium theory in a monetary economy," CEPREMAP Working Papers (Couverture Orange) 7402, CEPREMAP.
  9. 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.
  10. 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.
  11. Weddepohl, Claus, 1987. "Supply-constrained equilibria in economies with indexed prices," Journal of Economic Theory, Elsevier, vol. 43(2), pages 203-222, December.
  12. Dehez, Pierre & Dreze, Jacques H., 1984. "On supply-constrained equilibria," Journal of Economic Theory, Elsevier, vol. 33(1), pages 172-182, June.
  13. Polterovich, Victor, 1993. "Rationing, Queues, and Black Markets," Econometrica, Econometric Society, vol. 61(1), pages 1-28, January.
  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.
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Citations

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Cited by:
  1. Herings P. Jean-Jacques, 2012. "General Equilibrium and The New Neoclassical Synthesis," Research Memorandum 046, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  2. 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.
  3. Herings, P.J.J. & Laan, G. van der & Talman, A.J.J., 2009. "Equilibria with coordination failures," Open Access publications from Tilburg University urn:nbn:nl:ui:12-3247126, Tilburg University.
  4. Talman,Dolf & Laan,Gerard,van der & Herings,P. Jean-Jacques, 2001. "Quantity Constrained Equilibria," Research Memorandum 012, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  5. Herings, P.J.J. & Dreze, J., 1998. "Continua of Underemployment Equilibria," Discussion Paper 1998-05, Tilburg University, Center for Economic Research.
  6. P.J.J. Herings & Herakles Polemarchakis, 2001. "Equilibrium and arbitrage in incomplete asset markets with fixed prices," Working Papers 2001-28, Brown University, Department of Economics.
  7. repec:spo:wpecon:info:hdl:2441/10287 is not listed on IDEAS
  8. Antonio Villanacci & Alessandro Citanna & P. Jean-Jacques Herings & Jacques H Drèze & Hervé Crès, 2001. "Underemployment of Resources and Self-Fulfilling Beliefs: Nonwalrasian Allocations at Walrasian Prices," Sciences Po publications 003, Sciences Po.

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