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Equilibrium existence results for economies with price rigidities

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  • P. Jean-Jacques Herings

    (Department of Econometrics and CentER, Tilburg University, P.O. Box 90153, 5000 LE Tilburg, THE NETHERLANDS)

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.

Suggested Citation

  • P. Jean-Jacques Herings, 1995. "Equilibrium existence results for economies with price rigidities," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(1), pages 63-80.
    • Handle: RePEc:spr:joecth:v:7:y:1995:i:1:p:63-80
    Note: Received: March 11, 1994; revised version July 15, 1994
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    References listed on IDEAS

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    1. Laan, G. van der & Talman, A.J.J., 1989. "Price regidities and rationing," Serie Research Memoranda 0004, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics.
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    11. BÖHM, Volker & MÜLLER, Heinz, 1977. "Two examples of equilibria under price rigidities and quantity rationing," LIDAM Reprints CORE 318, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    12. Kurz, Mordecai, 1982. "Unemployment equilibrium in an economy with linked prices," Journal of Economic Theory, Elsevier, vol. 26(1), pages 100-123, February.
    13. van Der Ploeg, Frederick (ed.), 1990. "Advanced Lectures in Quantitative Economics," Elsevier Monographs, Elsevier, edition 1, number 9780127117034.
    14. Polterovich, Victor, 1993. "Rationing, Queues, and Black Markets," Econometrica, Econometric Society, vol. 61(1), pages 1-28, January.
    15. Cox, Charles C, 1980. "The Enforcement of Public Price Controls," Journal of Political Economy, University of Chicago Press, vol. 88(5), pages 887-916, October.
    16. 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 667-684, August.
    17. 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.
    18. 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.
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    Citations

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    Cited by:

    1. Herings, P. Jean-Jacques & van der Laan, Gerard & Talman, Dolf, 2009. "Equilibria with coordination failures," Journal of Mathematical Economics, Elsevier, vol. 45(1-2), pages 23-37, January.
    2. Herings, P.J.J. & Talman, A.J.J. & Yang, Z.F., 1999. "Variational Inequality Problems With a Continuum of Solutions : Existence and Computation," Other publications TiSEM 73e2f01b-ad4d-4447-95ba-a, Tilburg University, School of Economics and Management.
    3. Herings, P.J.J. & Dreze, J., 1998. "Continua of Underemployment Equilibria," Other publications TiSEM c82ec7ae-6be6-43a7-aa39-c, Tilburg University, School of Economics and Management.
    4. P. Herings, 2014. "General equilibrium and the new neoclassical synthesis," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 57(3), pages 437-477, November.
    5. Herings, P.J.J., 2001. "Coordinating thoughts on coordination failures," Research Memorandum 030, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    6. Herings, P. J. J. & Polemarchakis, H., 2002. "Equilibrium and arbitrage in incomplete asset markets with fixed prices," Journal of Mathematical Economics, Elsevier, vol. 37(2), pages 133-155, April.
    7. Alessandro Citanna & Hervé Crès & Jacques H Drèze & P. Jean-Jacques Herings & Antonio Villanacci, 2001. "Underemployment of Resources and Self-Fulfilling Beliefs: Nonwalrasian Allocations at Walrasian Prices," SciencePo Working papers Main hal-01064886, HAL.
    8. repec:hal:spmain:info:hdl:2441/10287 is not listed on IDEAS
    9. Citanna, A. & Cres, H. & Dreze, J. & Herings, P.J.J. & Villanacci, A., 2001. "Underemployment of resources and self-fulfilling beliefs: non-Walrasian allocations at Walrasian prices," Research Memorandum 041, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    10. Citanna, Alessandro & Cres, Herve & Dreze, Jacques & Herings, P. Jean-Jacques & Villanacci, Antonio, 2001. "Continua of underemployment equilibria reflecting coordination failures, also at Walrasian prices," Journal of Mathematical Economics, Elsevier, vol. 36(3), pages 169-200, December.
    11. 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.
    12. Herings, P. J. J. & Polemarchakis, H., 2002. "Equilibrium and arbitrage in incomplete asset markets with fixed prices," Journal of Mathematical Economics, Elsevier, vol. 37(2), pages 133-155, April.
    13. P. J. J. Herings & A. J. J. Talman, 1998. "Intersection Theorems with a Continuum of Intersection Points," Journal of Optimization Theory and Applications, Springer, vol. 96(2), pages 311-335, February.
    14. Alessandro Citanna & Herve Cres & Antonio Villanacci, "undated". "Underemployment of resources and self-fulfilling beliefs: Nonwalrasian allocations at walrasian prices," GSIA Working Papers 11, Carnegie Mellon University, Tepper School of Business.
    15. Iwan Bos & Ronald Peeters & Erik Pot, 2017. "Competition versus collusion: The impact of consumer inertia," International Journal of Economic Theory, The International Society for Economic Theory, vol. 13(4), pages 387-400, December.
    16. repec:spo:wpecon:info:hdl:2441/10287 is not listed on IDEAS
    17. Bruinshoofd, W.A. & Letterie, W.A., 2001. "Comovement of sales, retention practice and financing constraints in Dutch manufacturing," Research Memorandum 003, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    18. repec:hal:wpspec:info:hdl:2441/10287 is not listed on IDEAS

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