IDEAS home Printed from https://ideas.repec.org/p/cor/louvco/1994071.html
   My bibliography  Save this paper

Equilibrium Selections

Author

Listed:
  • ALLEN, Beth

    (Department of Economics, Universit.y of Minnesota and Federal Reserve Bank of Minneapolis)

  • DUTTA , Jayasri

    (Faculty of Economics and Politics, University of Cambridge)

  • POLEMARCHAKIS , Heracles

    (CORE, Université catholique de Louvain, B-1348 Louvain-la-Neuve, Belgium)

Abstract

This paper analyses the impact of multiple competitive equilibria and complete markets in a simple general equilibrium model. A random selection from the equilibrium correspondence of a finite exchange economy defines probability distributions on equilibrium prices. Asset markets allow traders to insure against the resulting uncertainty. If asset markets are complete, equilibrium selections are necessarily degenerate. The selection cannot be non- trivially random, and must assign probability one to particular equilibrium price vectors. In this case, asset prices reveal the choice of equilibrium price vectors and achieve the coordination of traders' expectations. If the asset market is incomplete, equilibrium selections can be non-degenerate, so that price uncertainty is self-fulfilling. A fully insured random selection defines an iterative procedure of reallocations which is Pareto improving at each step. The process converges to a Pareto optimum in finitely many steps. The key requirement is that the random selection be continuous, which is a generic condition for smooth exchange economies with strictly concave utility functions.

Suggested Citation

  • ALLEN, Beth & DUTTA , Jayasri & POLEMARCHAKIS , Heracles, 1994. "Equilibrium Selections," LIDAM Discussion Papers CORE 1994071, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  • Handle: RePEc:cor:louvco:1994071
    as

    Download full text from publisher

    File URL: https://sites.uclouvain.be/core/publications/coredp/coredp1994.html
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. E. Malinvaud, 1972. "Prices for Individual Consumption, Quantity Indicators for Collective Consumption," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 39(4), pages 385-405.
    2. Edmond Malinvaud, 1974. "The Allocation of Individual Risks in Large Markets," International Economic Association Series, in: Jacques H. Drèze (ed.), Allocation under Uncertainty: Equilibrium and Optimality, chapter 8, pages 110-125, Palgrave Macmillan.
    3. Cass, David & Shell, Karl, 1983. "Do Sunspots Matter?," Journal of Political Economy, University of Chicago Press, vol. 91(2), pages 193-227, April.
    4. Azariadis, Costas, 1981. "Self-fulfilling prophecies," Journal of Economic Theory, Elsevier, vol. 25(3), pages 380-396, December.
    5. Balasko, Yves, 1983. "Extrinsic uncertainty revisited," Journal of Economic Theory, Elsevier, vol. 31(2), pages 203-210, December.
    6. Mas-Colell, Andreu & Nachbar, John H., 1991. "On the finiteness of the number of critical equilibria, with an application to random selections," Journal of Mathematical Economics, Elsevier, vol. 20(4), pages 397-409.
    7. Chichilnisky, G. & Dutta, J. & Heal, G.M., 1992. "Price Uncertainty and Derivative Securities in a General Equilibrium Model," Papers 178, Cambridge - Risk, Information & Quantity Signals.
    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. Ghosal, Sayantan & Morelli, Massimo, 2004. "Retrading in market games," Journal of Economic Theory, Elsevier, vol. 115(1), pages 151-181, March.
    2. Dutta, Jayasri & Morris, Stephen, 1997. "The Revelation of Information and Self-Fulfilling Beliefs," Journal of Economic Theory, Elsevier, vol. 73(1), pages 231-244, March.
    3. Hector Calvo-Pardo, 2009. "Are the antiglobalists right? Gains-from-trade without a Walrasian auctioneer," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 38(3), pages 561-592, March.

    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. João Correia-da-Silva, 2015. "Two-period economies with price-contingent deliveries," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 59(3), pages 509-525, August.
    2. Hoelle, Matthew, 2014. "The relation between sunspot effects and multiplicity in incomplete markets models with numeraire assets," Journal of Mathematical Economics, Elsevier, vol. 50(C), pages 119-127.
    3. Guo, Jang-Ting & Lansing, Kevin J., 1998. "Indeterminacy and Stabilization Policy," Journal of Economic Theory, Elsevier, vol. 82(2), pages 481-490, October.
    4. Farmer, Roger E. A. & Jang-Ting, Guo, 1995. "The econometrics of indeterminacy: an applied study," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 43(1), pages 225-271, December.
    5. Garratt, Rod & Keister, Todd & Qin, Cheng-Zhong & Shell, Karl, 2002. "Equilibrium Prices When the Sunspot Variable Is Continuous," Journal of Economic Theory, Elsevier, vol. 107(1), pages 11-38, November.
    6. Rod Garratt & Todd Keister & Karl Shell, 2004. "Comparing Sunspot Equilibrium And Lottery Equilibrium Allocations: The Finite Case," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 45(2), pages 351-386, May.
    7. Roger E. A. Farmer, 2018. "Pricing Assets in a Perpetual Youth Model," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 30, pages 106-124, October.
    8. Christiano, Lawrence J. & G. Harrison, Sharon, 1999. "Chaos, sunspots and automatic stabilizers," Journal of Monetary Economics, Elsevier, vol. 44(1), pages 3-31, August.
    9. Roger Farmer, 2014. "Asset Prices in a Lifecycle Economy," NBER Working Papers 19958, National Bureau of Economic Research, Inc.
    10. Sushant Acharya & Keshav Dogra & Sanjay R. Singh, 2021. "The financial origins of non-fundamental risk," Working Papers 345, University of California, Davis, Department of Economics.
    11. Takuma Kunieda & Kazuo Nishimura, 2020. "Does Financial Development Amplify Sunspot Fluctuations?," Discussion Paper Series 204, School of Economics, Kwansei Gakuin University.
    12. Jaimovich, Nir, 2007. "Firm dynamics and markup variations: Implications for sunspot equilibria and endogenous economic fluctuations," Journal of Economic Theory, Elsevier, vol. 137(1), pages 300-325, November.
    13. Leland Farmer & Roger Farmer, 2022. "Zoomers and Boomers: Asset Prices and Intergenerational Inequality," NBER Working Papers 30419, National Bureau of Economic Research, Inc.
    14. Noemi Schmitt & Frank Westerhoff, 2017. "Heterogeneity, spontaneous coordination and extreme events within large-scale and small-scale agent-based financial market models," Journal of Evolutionary Economics, Springer, vol. 27(5), pages 1041-1070, November.
    15. Ren, Bijie & Polasky, Stephen, 2014. "The optimal management of renewable resources under the risk of potential regime shift," Journal of Economic Dynamics and Control, Elsevier, vol. 40(C), pages 195-212.
    16. John Duffy & Ernest K. Lai & Wooyoung Lim, 2017. "Coordination via correlation: an experimental study," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 64(2), pages 265-304, August.
    17. Begona Dominguez & Pedro Gomis-Porqueras, 2019. "The effects of secondary markets for government bonds on inflation dynamics," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 32, pages 249-273, April.
    18. S. Rao Aiyagari, 1989. "Can There Be Short-Period Deterministic Cycles When People Are Long Lived?," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 104(1), pages 163-185.
    19. Calvet, Laurent-Emmanuel & Grandmont, Jean-Michel & Lemaire, Isabelle, 2018. "Aggregation of heterogenous beliefs, asset pricing, and risk sharing in complete financial markets," Research in Economics, Elsevier, vol. 72(1), pages 117-146.
    20. John Duffy & Eric O'N. Fisher, 2005. "Sunspots in the Laboratory," American Economic Review, American Economic Association, vol. 95(3), pages 510-529, June.

    More about this item

    Keywords

    multiple equilibria; random selections; asset markets; rational expectations; convergence;
    All these keywords.

    JEL classification:

    • D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General
    • D60 - Microeconomics - - Welfare Economics - - - General
    • D62 - Microeconomics - - Welfare Economics - - - Externalities

    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:cor:louvco:1994071. 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: Alain GILLIS (email available below). General contact details of provider: https://edirc.repec.org/data/coreebe.html .

    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.