Equilibria with coordination failures
This paper extends the literature on equilibria with coordination failures to arbitrary convex sets of admissible prices. This makes it possible to address coordination failures for cases with price indexation or more general price linkages between commodities. We introduce a new equilibrium concept, called quantity constrained equilibrium (QCE), giving a unified treatment to all cases considered in the literature so far. At a QCE the expected trade opportunities on supply and demand are completely determined by a rationing vector satisfying that the prevailing price system maximizes the value of the rationing vector within the set of admissible prices. When the set of admissible prices is compact, we show the existence of a connected set of QCEs. This set connects two trivial no-trade equilibria, one with completely pessimistic expectations concerning supply opportunities and one with completely pessimistic expectations concerning demand opportunities. Moreover, the set contains for every commodity a generalized Drèze equilibrium, being a QCE at which for that commodity no binding trade opportunities on both supply and demand are expected, and also a generalized supply-constrained equilibrium at which no binding constraints on demand opportunities are expected and for at least one commodity also not on supply. We apply this main result to several special cases, and also discuss the case of an unbounded set of admissible prices.
If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
Volume (Year): 45 (2009)
Issue (Month): 1-2 (January)
Pages: 23-37
| Handle: | RePEc:eee:mateco:v:45:y:2009:i:1-2:p:23-37 |
| Contact details of provider: | Web page: http://www.elsevier.com/locate/jmateco
|
References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Dreze, Jacques H. & Gollier, Christian, 1993.
"Risk sharing on the labour market and second-best wage rigidities,"
European Economic Review,
Elsevier, vol. 37(8), pages 1457-1482, December.
- DREZE, Jacques & GOLLIER, Christian, "undated". "Risk sharing on the labour market and second-best wage rigidities," CORE Discussion Papers RP 1073, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Dreze, J. & Gollier, C., 1990. "Risk-sharing on the labour market and second-best wage rigidities," CORE Discussion Papers 1990067, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Weddepohl, Claus, 1987. "Supply-constrained equilibria in economies with indexed prices," Journal of Economic Theory, Elsevier, vol. 43(2), pages 203-222, December.
- 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.
- Alessandro Citanna & Hervé Crès & Jacques H. Drèze & Jean-Jacques Herings & Antonio Villanacci, 2001. "Continua of Underemployment Equilibria Reflecting Coordination Failures, Also at Walrasian Prices," Working Papers hal-00597197, HAL.
- 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.
- 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.
- 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.
- P. Herings & Herakles Polemarchakis, 2005. "Pareto improving price regulation when the asset market is incomplete," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 25(1), pages 135-154, 01.
- HERINGS, Jean-Jacques & POLEMARCHAKIS, Heracles, 1998. "Pareto improving price regulation when the asset market is incomplete," CORE Discussion Papers 1998041, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- P. J. J. Herings & H. M. Polemarchakis, 2003. "Pareto Improving Price Regulation When the Asset Market is Incomplete," Discussion Papers 03-20, University of Copenhagen. Department of Economics.
- Herings P. Jean-Jacques & Polemarchakis H. M., 2000. "Pareto Improving Price Regulation When the Asset Market Is Incomplete," Research Memorandum 008, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
- Jean-Jacques Herings & Heracles M. Polemarchakis, 2000. "Pareto Improving Price Regulation When the Asset Market is Incomplete," Working Papers hal-00598233, HAL.
- Herings, P.J.J. & Polemarchakis, H.M., 1999. "Pareto Improving Price Regulation when the Asset Market is Incomplete," Discussion Paper 1999-30, Tilburg University, Center for Economic Research.
- Jean-Jacques Herings & Heracles M. Polemarchakis, 1998. "Pareto Improving Price Regulation When the Asset Market is Incomplete," Working Papers hal-00601578, HAL.
- Herings P. Jean-Jacques & Polemarchakis H. M., 2002. "Pareto Improving Price Regulation When the Asset Market Is Incomplete," Research Memorandum 008, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
- P. Jean-Jacques Herings & Heracles M. Polemarchakis, 1999. "Pareto Improving Price Regulation When the Asset Market Is Incomplete," Cowles Foundation Discussion Papers 1210, Cowles Foundation for Research in Economics, Yale University.
- 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.
- 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.
- Jean-Jacques Herings & Dolf Talman & Zaifu Yang, 1996. "The Computation of a Continuum of Constrained Equilibria," Mathematics of Operations Research, INFORMS, vol. 21(3), pages 675-696, August.
- Herings, P.J.J. & Talman, A.J.J. & Zang, Z., 1994. "The computation of a continuum of constrained equilibria," Discussion Paper 1994-38, Tilburg University, Center for Economic Research.
- Herings, P.J.J. & Talman, A.J.J. & Yang, Z.F., 1996. "The computation of a continuum of constrained equilibria," Other publications TiSEM ba4c6d83-befb-4a25-8477-c, Tilburg University, School of Economics and Management.
- Dehez, Pierre & Dreze, Jacques H., 1984. "On supply-constrained equilibria," Journal of Economic Theory, Elsevier, vol. 33(1), pages 172-182, June.
- DEHEZ, Pierre & DREZE, Jacques H., "undated". "On supply-constrained equilibria," CORE Discussion Papers RP 576, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Laan, Gerard van der, 1982. "Simplicial approximation of unemployment equilibria," Journal of Mathematical Economics, Elsevier, vol. 9(1-2), pages 83-97, January.
- van der LAAN, Gerard, "undated". "Simplicial approximation of unemployment equilibria," CORE Discussion Papers RP 467, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Kurz, Mordecai, 1982. "Unemployment equilibrium in an economy with linked prices," Journal of Economic Theory, Elsevier, vol. 26(1), pages 100-123, February.
- 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.
- 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.
- 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.
- Gérard Debreu (ed.), 1996. "General Equilibrium Theory," Books, Edward Elgar Publishing, volume 0, number 548, July.
- 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. Full references (including those not matched with items on IDEAS)
This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.
When requesting a correction, please mention this item's handle: RePEc:eee:mateco:v:45:y:2009:i:1-2:p:23-37. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Dana Niculescu)
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 references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link 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 profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.
This information is provided to you by IDEAS at the Research Division of the Federal Reserve Bank of St. Louis using RePEc data.