IDEAS home Printed from https://ideas.repec.org/p/hal/cesptp/hal-02141055.html
   My bibliography  Save this paper

Equilibrium in Incomplete Markets with Differential Information: A Basic Model of Generic Existence

Author

Listed:
  • Lionel De Boisdeffre

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique, CATT - Centre d'Analyse Théorique et de Traitement des données économiques - UPPA - Université de Pau et des Pays de l'Adour)

Abstract

The paper demonstrates the generic existence of general equilibria in incomplete markets with asymmetric information. The economy has two periods and an ex ante uncertainty over the state of nature to be revealed at the second period. Securities pay off in cash or commodities at the second period, conditionally on the state of nature to be revealed. They permit financial transfers across periods and states, which are insufficient to span all state contingent claims to value, whatever the spot price to prevail. Under smooth preference and the standard Radner (1972) perfect foresight assumptions, we show that equilibria exist, except for a closed set of measure zero of endowments and securities. This result extends Duffie-Shafer's (1985) in three ways. First, it allows for asymmetric information amongst agents. Second, it holds whenever the equilibrium price is given a fixed norm on each spot market. Third, assets need no longer pay off in commodities, but also in any mix of cash and goods.

Suggested Citation

  • Lionel De Boisdeffre, 2018. "Equilibrium in Incomplete Markets with Differential Information: A Basic Model of Generic Existence," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-02141055, HAL.
    • Handle: RePEc:hal:cesptp:hal-02141055
    Note: View the original document on HAL open archive server: https://univ-pau.hal.science/hal-02141055
    as

    Download full text from publisher

    File URL: https://univ-pau.hal.science/hal-02141055/document
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Debreu, Gerard, 1976. "Smooth Preferences: A Corrigendum," Econometrica, Econometric Society, vol. 44(4), pages 831-832, July.
    2. Radner, Roy, 1972. "Existence of Equilibrium of Plans, Prices, and Price Expectations in a Sequence of Markets," Econometrica, Econometric Society, vol. 40(2), pages 289-303, March.
    3. Radner, Roy, 1979. "Rational Expectations Equilibrium: Generic Existence and the Information Revealed by Prices," Econometrica, Econometric Society, vol. 47(3), pages 655-678, May.
    4. Hart, Oliver D., 1975. "On the optimality of equilibrium when the market structure is incomplete," Journal of Economic Theory, Elsevier, vol. 11(3), pages 418-443, December.
    5. Duffie, Darrell & Shafer, Wayne, 1985. "Equilibrium in incomplete markets: I : A basic model of generic existence," Journal of Mathematical Economics, Elsevier, vol. 14(3), pages 285-300, June.
    6. 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)

    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, 2019. "Refinements to the generic existence of equilibrium in incomplete markets," Post-Print halshs-02181033, HAL.
    2. Lionel De Boisdeffre, 2019. "Refinements to the generic existence of equilibrium in incomplete markets," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-02181033, HAL.
    3. Lionel De Boisdeffre, 2018. "Equilibrium in Incomplete Markets with Differential Information: A Basic Model of Generic Existence," Working Papers hal-02141055, HAL.
    4. Lionel De Boisdeffre, 2018. "Equilibrium in Incomplete Markets with Differential Information: A Basic Model of Generic Existence," Working papers of CATT hal-02141055, HAL.
    5. Lionel DE BOISDEFFRE, 2018. "Equilibrium in Incomplete Markets with Differential Information: A Basic Model of Generic Existence," Working Papers 2017-2018_12, CATT - UPPA - Université de Pau et des Pays de l'Adour, revised Aug 2018.
    6. Lionel de Boisdeffre, 2021. "Dropping the Cass Trick and Extending Cass' Theorem to Asymmetric Information and Restricted Participation," Post-Print halshs-03196923, HAL.
    7. Lionel de Boisde¤re, 2021. "Equilibrium in incomplete markets with differential information: A basic model of generic existence," Post-Print halshs-03196857, HAL.
    8. Lionel De Boisdeffre, 2018. "Equilibrium with Differential Information and Exogenous Beliefs: A Basic Model of Full Existence," Working papers of CATT hal-02141059, HAL.
    9. Lionel De Boisdeffre, 2018. "Circumventing the Hart Puzzle," Post-Print halshs-01903586, HAL.
    10. Lionel DE BOISDEFFRE, 2017. "Financial Equilibrium with differential Information: a Theorem of generic Existence," Working Papers 2016-2017_12, CATT - UPPA - Université de Pau et des Pays de l'Adour, revised Aug 2017.
    11. Lionel de Boisdeffre, 2017. "Financial equilibrium with differential information: An existence theorem," Post-Print halshs-01599385, HAL.
    12. Lionel DE BOISDEFFRE, 2018. "Equilibrium with Differential Information and Exogenous Beliefs: A Basic Model of Full Existence," Working Papers 2017-2018_8, CATT - UPPA - Université de Pau et des Pays de l'Adour, revised Jun 2018.
    13. Lionel de Boisdeffre, 2021. "Dropping the Cass Trick and Extending Cass' Theorem to Asymmetric Information and Restricted Participation," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-03196923, HAL.
    14. Lionel de Boisde¤re, 2021. "Equilibrium in incomplete markets with differential information: A basic model of generic existence," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-03196857, HAL.
    15. Lionel de Boisde¤re, 2021. "Dropping Rational Expectations," Post-Print halshs-03196897, HAL.
    16. Lionel De Boisdeffre, 2018. "Circumventing the Hart Puzzle," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-01903586, HAL.
    17. Lionel De Boisdeffre, 2018. "Equilibrium with Differential Information and Exogenous Beliefs: A Basic Model of Full Existence," Working Papers hal-02141059, HAL.
    18. Lionel De Boisdeffre, 2018. "Dropping Rational Expectations," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-01903510, HAL.
    19. Lionel de Boisdeffre, 2018. "Dropping Rational Expectations," Documents de travail du Centre d'Economie de la Sorbonne 18026, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    20. Lionel De Boisdeffre, 2017. "Financial Equilibrium with differential Information: a Theorem of generic Existence," 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:hal-02141055. 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.