IDEAS home Printed from https://ideas.repec.org/a/eee/jetheo/v75y1997i1p1-15.html
   My bibliography  Save this article

Multiplicity of Equilibria

Author

Listed:
  • Ghiglino, Christian
  • Tvede, Mich

Abstract

A pure exchange, general equilibrium model is considered and the equilibrium set is studied. It is shown for all total endowments and an open and dense set of preferences that if there arel2 commodities andm2 consumers then there exists a set of distributions of endowments with nonempty interior such that the associated economies have at leastl-1+min{l, m} equilibria forl+min{l, m} even and at leastl-2+min{l, m} equilibria forl+min{l, m} odd.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Ghiglino, Christian & Tvede, Mich, 1997. "Multiplicity of Equilibria," Journal of Economic Theory, Elsevier, vol. 75(1), pages 1-15, July.
    • Handle: RePEc:eee:jetheo:v:75:y:1997:i:1:p:1-15
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0022-0531(97)92279-1
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Kehoe, Timothy J & Levine, David K, 1985. "Comparative Statics and Perfect Foresight in Infinite Horizon Economies," Econometrica, Econometric Society, vol. 53(2), pages 433-453, March.
    2. Yves Balasko & David Cass & Karl Shell, 1995. "Market Participation and Sunspot Equilibria," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 62(3), pages 491-512.
    3. Sonnenschein, Hugo, 1973. "Do Walras' identity and continuity characterize the class of community excess demand functions?," Journal of Economic Theory, Elsevier, vol. 6(4), pages 345-354, August.
    4. Mantel, Rolf R., 1974. "On the characterization of aggregate excess demand," Journal of Economic Theory, Elsevier, vol. 7(3), pages 348-353, March.
    5. Ghiglino, Christian & Tvede, Mich, 1995. "Endowments, stability, and fluctuations in OG models," Journal of Economic Dynamics and Control, Elsevier, vol. 19(3), pages 621-653, April.
    6. Spear, Stephen E. & Srivastava, Sanjay & Woodford, Michael, 1990. "Indeterminacy of stationary equilibrium in stochastic overlapping generations models," Journal of Economic Theory, Elsevier, vol. 50(2), pages 265-284, April.
    7. Debreu, Gerard, 1974. "Excess demand functions," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 15-21, March.
    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. W D A Bryant, 2009. "General Equilibrium:Theory and Evidence," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 6875, June.
    2. Ghiglino, Christian, 2002. "Introduction to a General Equilibrium Approach to Economic Growth," Journal of Economic Theory, Elsevier, vol. 105(1), pages 1-17, July.
    3. Hervé Crès & Tobias Markeprand & Mich Tvede, 2016. "Incomplete financial markets and jumps in asset prices," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 62(1), pages 201-219, June.
    4. Hervé Crès & Mich Tvede, 2023. "Corporate self-regulation of imperfect competition," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 75(4), pages 1181-1205, May.
    5. Paul Oslington, 2012. "General Equilibrium: Theory and Evidence," The Economic Record, The Economic Society of Australia, vol. 88(282), pages 446-448, September.

    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. Yariv, Leeat & Jackson, Matthew O., 2018. "The Non-Existence of Representative Agents," CEPR Discussion Papers 13397, C.E.P.R. Discussion Papers.
    2. Momi, Takeshi, 2010. "Excess demand function around critical prices in incomplete markets," Journal of Mathematical Economics, Elsevier, vol. 46(3), pages 293-302, May.
    3. Charalambos Aliprantis & Kim Border & Owen Burkinshaw, 1996. "Market economies with many commodities," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 19(1), pages 113-185, March.
    4. Hoover, Kevin D., 2006. "A Neowicksellian in a New Classical World: The Methodology of Michael Woodford's Interest and Prices," Journal of the History of Economic Thought, Cambridge University Press, vol. 28(2), pages 143-149, June.
    5. David Colander, 2018. "How Economists Got It Wrong: A Nuanced Account," Chapters, in: How Economics Should Be Done, chapter 12, pages 163-189, Edward Elgar Publishing.
    6. Chiappori, Pierre-Andre & Ekeland, Ivar & Browning, Martin, 2007. "Local disaggregation of negative demand and excess demand functions," Journal of Mathematical Economics, Elsevier, vol. 43(6), pages 764-770, August.
    7. repec:dau:papers:123456789/6360 is not listed on IDEAS
    8. Kehoe, Timothy J. & Levine, David K., 1984. "Regularity in overlapping generations exchange economies," Journal of Mathematical Economics, Elsevier, vol. 13(1), pages 69-93, April.
    9. Pierre-André Chiappori & Ivar Ekeland & Felix Kübler & Heracles M. Polemarchakis, 1999. "The Identification of Preferences from Equilibrium Prices," Working Papers hal-00598229, HAL.
    10. Carvajal, Andres, 2004. "Testable restrictions on the equilibrium manifold under random preferences," Journal of Mathematical Economics, Elsevier, vol. 40(1-2), pages 121-143, February.
    11. Willem H. Buiter, 2003. "James Tobin: An Appreciation of his Contribution to Economics," Economic Journal, Royal Economic Society, vol. 113(491), pages 585-631, November.
    12. Guoqiang Tian, 2016. "On the existence of price equilibrium in economies with excess demand functions," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 4(1), pages 5-16, April.
    13. Jinhui H. Bai & Roger Lagunoff, 2013. "Revealed Political Power," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 54(4), pages 1085-1115, November.
    14. José Victor Rios-Rull, 2002. "Desigualdad, ¿qué sabemos?," Investigaciones Economicas, Fundación SEPI, vol. 26(2), pages 221-254, May.
    15. Roberto Cazzolla Gatti & Roger Koppl & Brian D. Fath & Stuart Kauffman & Wim Hordijk & Robert E. Ulanowicz, 2020. "On the emergence of ecological and economic niches," Journal of Bioeconomics, Springer, vol. 22(2), pages 99-127, July.
    16. Kubler, F. & Chiappori, P. -A. & Ekeland, I. & Polemarchakis, H. M., 2002. "The Identification of Preferences from Equilibrium Prices under Uncertainty," Journal of Economic Theory, Elsevier, vol. 102(2), pages 403-420, February.
    17. Campbell, Michael, 2020. "Speculative and hedging interaction model in oil and U.S. dollar markets—Long-term investor dynamics and phases," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 540(C).
    18. Opp, Marcus M. & Sonnenschein, Hugo F. & Tombazos, Christis G., 2009. "Rybczynski's Theorem in the Heckscher-Ohlin World -- Anything Goes," Journal of International Economics, Elsevier, vol. 79(1), pages 137-142, September.
    19. Gerard Ballot & Antoine Mandel & Annick Vignes, 2015. "Agent-based modeling and economic theory: where do we stand?," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 10(2), pages 199-220, October.
    20. Jeffrey Sachs & Xiaokai Yang & Dingsheng Zhang, 2005. "Pattern Of Trade And Economic Development In A Model Of Monopolistic Competition," World Scientific Book Chapters, in: An Inframarginal Approach To Trade Theory, chapter 10, pages 185-221, World Scientific Publishing Co. Pte. Ltd..
    21. Icefield, William, 2020. "On treatment of interests, profits and equilibrium non-existence in general equilibrium models," MPRA Paper 99625, University Library of Munich, Germany.

    More about this item

    JEL classification:

    • 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:eee:jetheo:v:75:y:1997:i:1:p:1-15. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/inca/622869 .

    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.