IDEAS home Printed from https://ideas.repec.org/p/hal/journl/hal-00463215.html
   My bibliography  Save this paper

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

Author

Listed:
  • Alessandro Citanna

    (GREGH - Groupement de Recherche et d'Etudes en Gestion à HEC - HEC Paris - Ecole des Hautes Etudes Commerciales - CNRS - Centre National de la Recherche Scientifique)

  • Antonio Villanacci
  • Hervé Crès

    (GREGH - Groupement de Recherche et d'Etudes en Gestion à HEC - HEC Paris - Ecole des Hautes Etudes Commerciales - CNRS - Centre National de la Recherche Scientifique)

  • Jacques H. Drèze

    (CORE - UCL - Université Catholique de Louvain = Catholic University of Louvain)

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.

Suggested Citation

  • Alessandro Citanna & Antonio Villanacci & Hervé Crès & Jacques H. Drèze, 2001. "Continua of underemployment equilibria reflecting coordination failures, also at Walrasian prices," Post-Print hal-00463215, HAL.
    • Handle: RePEc:hal:journl:hal-00463215
    DOI: 10.1016/S0304-4068(01)00075-1
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Mas-Colell,Andreu, 1990. "The Theory of General Economic Equilibrium," Cambridge Books, Cambridge University Press, number 9780521388702.
    2. Alessro Citanna & Herve Cres & Antonio Villancci, "undated". "Underemployment of Resources and Self-Confirming Beliefs," Penn CARESS Working Papers 29d647ac92b76a88d3b1b2cac, Penn Economics Department.
    3. Frank Hahn, 1978. "On Non-Walrasian Equilibria," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 45(1), pages 1-17.
    4. Cooper,Russell, 1999. "Coordination Games," Cambridge Books, Cambridge University Press, number 9780521578967.
    5. Jacques Drèze, 2001. "On the Macroeconomics of Uncertainty and Incomplete Markets," International Economic Association Series, in: Jacques Drèze (ed.), Advances in Macroeconomic Theory, chapter 3, pages 30-55, Palgrave Macmillan.
    6. 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.
    7. Herings, P.J.J., 1995. "Static and dynamic aspects of general disequilibrium theory," Other publications TiSEM 489c698d-c257-47a3-90bd-3, Tilburg University, School of Economics and Management.
    8. Russell Cooper & Andrew John, 1988. "Coordinating Coordination Failures in Keynesian Models," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 103(3), pages 441-463.
    9. Laroque, Guy, 1978. "The Fixed Price Equilibria: Some Results in Local Comparative Statics," Econometrica, Econometric Society, vol. 46(5), pages 1127-1154, September.
    10. 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 856-874, December.
    11. John Bryant, 1983. "A Simple Rational Expectations Keynes-type Model," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 98(3), pages 525-528.
    12. Movshovich, Solomon M., 1994. "A price adjustment process in a rationed economy," Journal of Mathematical Economics, Elsevier, vol. 23(4), pages 305-321, July.
    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, 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.
    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 301-320, June.
    16. Drazen, Allan, 1980. "Recent Developments in Macroeconomic Disequilibrium Theory," Econometrica, Econometric Society, vol. 48(2), pages 283-306, March.
    17. Dehez, Pierre & Dreze, Jacques H., 1984. "On supply-constrained equilibria," Journal of Economic Theory, Elsevier, vol. 33(1), pages 172-182, June.
    18. Herings, P.J.J., 1992. "On the structure of constrained equilibria," Other publications TiSEM 4c64f078-57cf-43ea-aee2-f, Tilburg University, School of Economics and Management.
    19. Laan, Gerard van der, 1982. "Simplicial approximation of unemployment equilibria," Journal of Mathematical Economics, Elsevier, vol. 9(1-2), pages 83-97, January.
    20. Kurz, Mordecai, 1982. "Unemployment equilibrium in an economy with linked prices," Journal of Economic Theory, Elsevier, vol. 26(1), pages 100-123, February.
    21. 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.
    22. Gérard Debreu (ed.), 1996. "General Equilibrium Theory," Books, Edward Elgar Publishing, volume 0, number 548.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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, June.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    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. Jean-Jacques, 2024. "Expectational equilibria in many-to-one matching models with contracts," Journal of Economic Theory, Elsevier, vol. 216(C).
    8. Herings, P. Jean-Jacques, 2018. "Equilibrium and matching under price controls," Journal of Economic Theory, Elsevier, vol. 177(C), pages 222-244.
    9. Hans Gersbach & Hans Haller, 2018. "Hierarchical Trade," Economic Inquiry, Western Economic Association International, vol. 56(2), pages 1165-1184, April.
    10. Kokonas, Nikolaos, 2016. "Nominal rigidities equilibria in a non-Ricardian economy," Journal of Mathematical Economics, Elsevier, vol. 67(C), pages 108-119.
    11. DRÈZE, Jacques, 2001. "Indeterminateness of equilibria and macroeconomics," LIDAM Discussion Papers CORE 2001058, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. repec:hal:spmain:info:hdl:2441/10287 is not listed on IDEAS
    2. repec:spo:wpmain:info:hdl:2441/10287 is not listed on IDEAS
    3. 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).
    4. repec:spo:wpecon:info:hdl:2441/10287 is not listed on IDEAS
    5. repec:hal:wpspec:info:hdl:2441/10287 is not listed on IDEAS
    6. 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.
    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.J.J. & Dreze, J., 1998. "Continua of Underemployment Equilibria," Discussion Paper 1998-05, Tilburg University, Center for Economic Research.
    9. 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.
    10. Dreze, Jacques H., 1997. "Walras--Keynes equilibria coordination and macroeconomics," European Economic Review, Elsevier, vol. 41(9), pages 1735-1762, December.
    11. Van Der Laan, G. & Ta & Man, A.J.J., 1989. "Price Rigidities And Rationing," Papers 8913, Tilburg - Center for Economic Research.
    12. Dolf Talman & Zaifu Yang, 2012. "On a Parameterized System of Nonlinear Equations with Economic Applications," Journal of Optimization Theory and Applications, Springer, vol. 154(2), pages 644-671, August.
    13. Herings, Jean-Jacques & van der Laan, Gerard & Talman, Dolf & Venniker, Richard, 1997. "Equilibrium adjustment of disequilibrium prices," Journal of Mathematical Economics, Elsevier, vol. 27(1), pages 53-77, February.
    14. 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).
    15. van der Laan, G. & Talman, A.J.J., 2002. "Dynamic Adjustment of Supply Constrained Disequilibria to Walrasian Equilibrium," Other publications TiSEM 8c5d443d-92c8-4e82-bcef-3, Tilburg University, School of Economics and Management.
    16. Babenko, R. & Talman, A.J.J., 2006. "Quantity Constrained General Equilibrium," Other publications TiSEM 393bf7c1-3045-4a3b-b3c3-5, Tilburg University, School of Economics and Management.
    17. Jacques Drèze, 2001. "On the Macroeconomics of Uncertainty and Incomplete Markets," International Economic Association Series, in: Jacques Drèze (ed.), Advances in Macroeconomic Theory, chapter 3, pages 30-55, Palgrave Macmillan.
    18. 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.
    19. 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.
    20. Sander van der Hoog, 2004. "Credit and Cash-in-Advance in Disequilibrium Models," Computing in Economics and Finance 2004 294, Society for Computational Economics.
    21. Fagnart, Jean-Francois & Pierrard, O. & Sneessens, Henri R., 2007. "Microeconomic uncertainty and macroeconomic indeterminacy," European Economic Review, Elsevier, vol. 51(6), pages 1564-1588, August.
    22. 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.
    23. Olivier SCAILLET, 2001. "Density Estimation Using Inverse and Reciprocal Inverse Guassian Kernels," LIDAM Discussion Papers IRES 2001017, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
    24. Amedeo Panci, 1999. "Multiple equilibria: coordination failure and endogenous cycle," Working Papers in Public Economics 30, University of Rome La Sapienza, Department of Economics and Law.

    More about this item

    Keywords

    General equilibrium; Underemployment; Coordination failures; Indeterminacy;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hal:journl:hal-00463215. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: CCSD (email available below). General contact details of provider: https://hal.archives-ouvertes.fr/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.