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Equilibrium with asymmetric information and restricted participation: The no-arbritrage characterization

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  • Lionel de Boisdeffre

    (Université Paris 1 Panthéon-Sorbonne, Centre d'Economie de la Sorbonne)

Abstract

The paper presents a pure exchange economy, where consumers may have asymmetric information, non-ordered preferences and a restricted access to purely financial markets. Under standard conditions, it shows that the two concepts of no-arbitrage price and equilibrium asset price coincide. Namely, any collection of state prices in realizable states is proved to support a sequential equilibrium. This result extends Cass (2006), De Boisdeffre (2007) and similar results of symmetric information, such as Martins-da-Rocha and Triki's (2005) or Cornet and Gopalan's (2010). Moreover, the de?nition and existence of the sequential equilibrium do not rely on Radner's (1972, 1979) rational expectation assumptions, which may be dropped

Suggested Citation

  • Lionel de Boisdeffre, 2025. "Equilibrium with asymmetric information and restricted participation: The no-arbritrage characterization," Documents de travail du Centre d'Economie de la Sorbonne 25014, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
  • Handle: RePEc:mse:cesdoc:25014
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    File URL: http://mse.univ-paris1.fr/pub/mse/CES2025/25014.pdf
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    File URL: https://shs.hal.science/halshs-05132840
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    References listed on IDEAS

    as
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    2. Bernard Cornet & Lionel Boisdeffre, 2009. "Elimination of arbitrage states in asymmetric information models," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 38(2), pages 287-293, February.
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    5. Bernard Cornet & Ramu Gopalan, 2010. "Arbitrage and equilibrium with portfolio constraints," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 45(1), pages 227-252, October.
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    21. Polemarchakis, H M & Siconolfi, P, 1993. "Asset Markets and the Information Revealed by Prices," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 3(4), pages 645-661, October.
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    23. 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.
    24. 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.
    25. Balasko, Yves & Cass, David & Siconolfi, Paolo, 1990. "The structure of financial equilibrium with exogenous yields : The case of restricted participation," Journal of Mathematical Economics, Elsevier, vol. 19(1-2), pages 195-216.
    26. Alessandro Citanna & Antonio Villanacci, 2000. "Incomplete Markets, Allocative Efficiency, and the Information Revealed by Prices," Post-Print hal-00463203, HAL.
    27. Citanna, Alessandro & Villanacci, Antonio, 2000. "Existence and regularity of partially revealing rational expectations equilibrium in finite economies," Journal of Mathematical Economics, Elsevier, vol. 34(1), pages 1-26, August.
    Full references (including those not matched with items on IDEAS)

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    JEL classification:

    • D52 - Microeconomics - - General Equilibrium and Disequilibrium - - - Incomplete Markets

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