IDEAS home Printed from https://ideas.repec.org/p/hal/cesptp/halshs-03322655.html
   My bibliography  Save this paper

No-arbitrage equilibria with differential information: a proof of existence

Author

Listed:
  • Lionel de Boisdeffre

    (CREST-INSEE - Centre de Recherche en Economie et en Statistique - Institut national de la statistique et des études économiques (INSEE), CERMSEM - CEntre de Recherche en Mathématiques, Statistique et Économie Mathématique - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

Abstract

On the example of a pure exchange financial economy with two periods, incomplete markets and differential information of the adverse selection's type, Cornet-De Boisdeffre (2002) introduced refined concepts of price, arbitrage and so-called "no-arbitrage equilibria", which extended to the asymmetric information setting the classical concepts of symmetric information. In this paper, we prove that a no-arbitrage equilibrium exists under the same standard conditions with symmetric and asymmetric information.

Suggested Citation

  • Lionel de Boisdeffre, 2004. "No-arbitrage equilibria with differential information: a proof of existence," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-03322655, HAL.
    • Handle: RePEc:hal:cesptp:halshs-03322655
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-03322655
    as

    Download full text from publisher

    File URL: https://shs.hal.science/halshs-03322655/document
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Gale, D. & Mas-Colell, A., 1975. "An equilibrium existence theorem for a general model without ordered preferences," Journal of Mathematical Economics, Elsevier, vol. 2(1), pages 9-15, March.
    2. Gale, D. & Mas-Colell, A., 1979. "Corrections to an equilibrium existence theorem for a general model without ordered preferences," Journal of Mathematical Economics, Elsevier, vol. 6(3), pages 297-298, December.
    3. Bergstrom, Theodore C., 1976. "How to discard `free disposability' - at no cost," Journal of Mathematical Economics, Elsevier, vol. 3(2), pages 131-134, July.
    4. Cornet, Bernard & De Boisdeffre, Lionel, 2002. "Arbitrage and price revelation with asymmetric information and incomplete markets," Journal of Mathematical Economics, Elsevier, vol. 38(4), pages 393-410, December.
    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. Lionel de Boisdeffre, 2004. "No-arbitrage equilibria with differential information: an enlarged existence theorem," Cahiers de la Maison des Sciences Economiques b04102, Université Panthéon-Sorbonne (Paris 1).

    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. Lionel de Boisdeffre, 2004. "No-arbitrage equilibria with differential information: a proof of existence," Cahiers de la Maison des Sciences Economiques b04035, Université Panthéon-Sorbonne (Paris 1).
    2. Lionel de Boisdeffre, 2004. "No-arbitrage equilibria with differential information: an enlarged existence theorem," Cahiers de la Maison des Sciences Economiques b04102, Université Panthéon-Sorbonne (Paris 1).
    3. Lionel de Boisdeffre, 2004. "No-arbitrage equilibria with differential information: a proof of existence," Post-Print halshs-03322655, HAL.
    4. Lionel DE BOISDEFFRE, 2015. "Existence of financial equilibrium with differential information: the no-arbitrage characterization," Working Papers 2015-2016_5, CATT - UPPA - Université de Pau et des Pays de l'Adour, revised Nov 2015.
    5. Kajii, Atsushi, 1996. "How to discard non-satiation and free-disposal with paper money," Journal of Mathematical Economics, Elsevier, vol. 25(1), pages 75-84.
    6. Stefano Bosi & Cuong Le Van, 2011. "On the existence of a Ramsey equilibrium with endogenous labor supply and borrowing constraints," Post-Print halshs-00612131, HAL.
    7. Lionel De Boisdeffre, 2015. "Existence of financial equilibrium with differential information: the no-arbitrage characterization," Working Papers hal-02945462, HAL.
    8. 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.
    9. Robert Becker & Stefano Bosi & Cuong Van & Thomas Seegmuller, 2015. "On existence and bubbles of Ramsey equilibrium with borrowing constraints," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 58(2), pages 329-353, February.
    10. Aouani, Zaier & Cornet, Bernard, 2009. "Existence of financial equilibria with restricted participation," Journal of Mathematical Economics, Elsevier, vol. 45(12), pages 772-786, December.
    11. Laura Angeloni & Bernard Cornet, 2005. "Existence Of Financial Equilibria In A Multiperiod Stochastic Economy," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 200506, University of Kansas, Department of Economics, revised Feb 2005.
    12. Lionel de Boisdeffre, 2021. "Dropping the Cass Trick and Extending Cass' Theorem to Asymmetric Information and Restricted Participation," Post-Print halshs-03196923, HAL.
    13. repec:ipg:wpaper:4 is not listed on IDEAS
    14. Miyazaki, Kentaro & 宮崎, 健太郎 & Takekuma, Shin-Ichi & 武隈, 愼一, 2013. "A note on the existence of Walras equilibrium in irreducible economies with satiable and non-ordered preferences," Discussion Papers 2013-14, Graduate School of Economics, Hitotsubashi University.
    15. Monique Florenzano, 2007. "General equilibrium," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00250167, HAL.
    16. Guangsug Hahn, 2007. "Equilibrium in Production Economies with Nontransitive and Satiable Preferences," Korean Economic Review, Korean Economic Association, vol. 23, pages 415-431.
    17. Lionel De Boisdeffre, 2019. "Dropping the Cass Trick and Extending Cass' Theorem to Asymmetric Information," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-02180836, HAL.
    18. Paul Oslington, 2012. "General Equilibrium: Theory and Evidence," The Economic Record, The Economic Society of Australia, vol. 88(282), pages 446-448, September.
    19. Lionel De Boisdeffre, 2018. "Circumventing the Hart Puzzle," Post-Print halshs-01903586, HAL.
    20. Lionel De Boisdeffre, 2017. "Financial Equilibrium with differential Information: a Theorem of generic Existence," Working Papers hal-01871571, HAL.
    21. Lionel De Boisdeffre, 2017. "Financial Equilibrium with differential Information: a Theorem of generic Existence," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-01871571, HAL.

    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:cesptp:halshs-03322655. 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.