IDEAS home Printed from https://ideas.repec.org/a/emx/esteco/v11y1996i1p3-31.html
   My bibliography  Save this article

Some remarks about uniquenes of equilibrium for infinite dimensional economies

Author

Listed:
  • Elvio Accinelli

    (Instituto de Matemática y Estadística)

Abstract

For economies with infinitely many goods, with two different approaches we obtain sufficient conditions for uniqueness of competitive equilibrium. In the second approach we prove that the Mitjushim-Polterovich conditions is a sufficient condition for uniqueness of equilibrium when the consumption space is a positive cone included in a Banach space. We do not suppose separability of the utility function.

Suggested Citation

  • Elvio Accinelli, 1996. "Some remarks about uniquenes of equilibrium for infinite dimensional economies," Estudios Económicos, El Colegio de México, Centro de Estudios Económicos, vol. 11(1), pages 3-32.
    • Handle: RePEc:emx:esteco:v:11:y:1996:i:1:p:3-31
    as

    Download full text from publisher

    File URL: https://estudioseconomicos.colmex.mx/index.php/economicos/article/view/263/265
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Kehoe, Timothy J., 1991. "Computation and multiplicity of equilibria," Handbook of Mathematical Economics, in: W. Hildenbrand & H. Sonnenschein (ed.), Handbook of Mathematical Economics, edition 1, volume 4, chapter 38, pages 2049-2144, Elsevier.
    2. Dana, Rose-Anne, 1993. "Existence, uniqueness and determinacy of Arrow-Debreu equilibria in finance models," Journal of Mathematical Economics, Elsevier, vol. 22(6), pages 563-579.
    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. Elvio Accinelli, 1999. "Existence of GE: Are the Cases of Non Existence a Cause of Serious Worry?," Documentos de Trabajo (working papers) 0999, Department of Economics - dECON.
    2. Elvio Accinelli Gamba & Leobardo Plata Pérez, 2008. "Crisis sociales y singularidades. Los fundamentos microeconómicos de las crisis sociales," Ensayos Revista de Economia, Universidad Autonoma de Nuevo Leon, Facultad de Economia, vol. 0(2), pages 49-88, November.
    3. Elvio Accinelli & Martín Puchet, 1998. "A Characterization of the Singular Economies of the Infinite Dimensional Models in General Equilibrium Theory," Documentos de Trabajo (working papers) 0798, Department of Economics - dECON.

    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. Elvio Accinelli, 1999. "On uniqueness of equilibrium for complete markets with infinitely many goods and in finance models," Estudios de Economia, University of Chile, Department of Economics, vol. 26(1 Year 19), pages 45-61, June.
    2. Venditti, Alain, 1998. "Indeterminacy and endogenous fluctuations in two-sector growth models with externalities," Journal of Economic Behavior & Organization, Elsevier, vol. 33(3-4), pages 521-542, January.
    3. Hens, Thorsten & Pilgrim, Beate, 2004. "Sunspot Equilibria and the Transfer Paradox," Discussion Papers 2004/14, Norwegian School of Economics, Department of Business and Management Science.
    4. Çağatay, Selim & Taşdoğan, Celal & Özeş, Reyhan, 2017. "Analysing the impact of targeted bio-ethanol blending ratio in Turkey," Bio-based and Applied Economics Journal, Italian Association of Agricultural and Applied Economics (AIEAA), vol. 6(2), September.
    5. Thorsten Hens & Beate Pilgrim & Janos Mayer, "undated". "Existence of Sunspot Equilibria and Uniqueness of Spot Market Equilibria: The Case of Intrinsically Complete Markets," IEW - Working Papers 188, Institute for Empirical Research in Economics - University of Zurich.
    6. Yves Balasko & Octavio Tourinho, 2014. "Factor proportionality in multiple households closed CGE models: theory and illustrations," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 2(2), pages 119-136, October.
    7. Thorsten Hens & Beate Pilgrim, 2004. "Sunspot equilibria and the transfer paradox," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 24(3), pages 583-602, October.
    8. Kamihigashi, Takashi, 2002. "Externalities and nonlinear discounting: Indeterminacy," Journal of Economic Dynamics and Control, Elsevier, vol. 26(1), pages 141-169, January.
    9. Elvio Accinelli, 1994. "Existence and uniqueness of the competitive equilibrium for infinite dimensional economies," Estudios de Economia, University of Chile, Department of Economics, vol. 21(2 Year 19), pages 313-326, December.
    10. Meng, Qinglai & Yip, Chong Kee, 2008. "On indeterminacy in one-sector models of the business cycle with factor-generated externalities," Journal of Macroeconomics, Elsevier, vol. 30(1), pages 97-110, March.
    11. Chen, Been-Lon & Lee, Shun-Fa, 2008. "Corrigendum to "Congestible public goods and local indeterminacy: A two-sector endogenous growth model": [Journal of Economic Dynamics & Control 31 (7) (2007) 2486-2518]," Journal of Economic Dynamics and Control, Elsevier, vol. 32(4), pages 1356-1356, April.
    12. Pilgrim, Beate, 2002. "Non-equivalence of uniqueness of equilibria in complete and in incomplete market models," Research in Economics, Elsevier, vol. 56(2), pages 143-156, June.
    13. Dana, R. A. & Le Van, C., 1996. "Asset Equilibria in Lp spaces with complete markets: A duality approach," Journal of Mathematical Economics, Elsevier, vol. 25(3), pages 263-280.
    14. Bodenstein, Martin, 2010. "Trade elasticity of substitution and equilibrium dynamics," Journal of Economic Theory, Elsevier, vol. 145(3), pages 1033-1059, May.
    15. Zoltan Pap, 2011. "Computing Economic Equilibria by a Homotopy Method," Papers 1110.5144, arXiv.org.
    16. Paul Oslington, 2012. "General Equilibrium: Theory and Evidence," The Economic Record, The Economic Society of Australia, vol. 88(282), pages 446-448, September.
    17. Jaimovich, Nir, 2008. "Income effects and indeterminacy in a calibrated one-sector growth model," Journal of Economic Theory, Elsevier, vol. 143(1), pages 610-623, November.
    18. Caroline Saunders & Selim Cagatay, 2003. "Commercial release of first‐generation genetically modified food products in New Zealand: using a partial equilibrium trade model to assess the impact on producer returns in New Zealand," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, vol. 47(2), pages 233-259, June.
    19. Melnikov, N.B. & O'Neill, B.C. & Dalton, M.G., 2012. "Accounting for household heterogeneity in general equilibrium economic growth models," Energy Economics, Elsevier, vol. 34(5), pages 1475-1483.
    20. Dana, Rose-Anne, 1995. "An extension of Milleron, Mitjushin and Polterovich's result," Journal of Mathematical Economics, Elsevier, vol. 24(3), pages 259-269.

    More about this item

    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:emx:esteco:v:11:y:1996:i:1:p:3-31. 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: Ximena Varela (email available below). General contact details of provider: https://edirc.repec.org/data/cecolmx.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.