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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.

Suggested Citation

  • Herings, P Jean-Jacques, 1996. "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, January.
    • Handle: RePEc:spr:joecth:v:7:y:1996:i:1:p:63-80
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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. & Dreze, J., 1998. "Continua of Underemployment Equilibria," Other publications TiSEM c82ec7ae-6be6-43a7-aa39-c, Tilburg University, School of Economics and Management.
    3. 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).
    4. 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.
    5. 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," Sciences Po Economics Publications (main) hal-01064886, HAL.
    6. 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.
    7. 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).
    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. 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.
    10. repec:spo:wpecon:info:hdl:2441/10287 is not listed on IDEAS
    11. 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.
    12. 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.
    13. 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.
    14. 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.
    15. 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).

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