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Stability under learning of equilibria in financial markets with supply information

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  • Maik Heinemann

    (University of Lüneburg)

Abstract

In a recent paper Ganguli/Yang (2009) demonstrate, that there can exist multiple equilibria in a financial market model a' la Grossman/Stiglitz (1980) if traders possess private information regarding the supply of the risky asset. The additional equilibria differ in some important respects from the usual equilibrium of the Grossman-Stiglitz type which still exists in this model. This note shows that these additional equilibria are always unstable under eductive learning (cf. Guesnerie (2002)) and adaptive learning via least-squares estimation (cf. Marcet/Sargent (1988) or Evans/Honkapohja (2001)). Regarding the original Grossman-Stiglitz type equilibrium, the stability results are less clear cut, since this equilibrium might be unstable under eductive learning while it is always stable under adaptive learning.

Suggested Citation

  • Maik Heinemann, 2010. "Stability under learning of equilibria in financial markets with supply information," Economics Bulletin, AccessEcon, vol. 30(1), pages 383-391.
    • Handle: RePEc:ebl:ecbull:eb-09-00731
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    References listed on IDEAS

    as
    1. Grossman, Sanford J & Stiglitz, Joseph E, 1980. "On the Impossibility of Informationally Efficient Markets," American Economic Review, American Economic Association, vol. 70(3), pages 393-408, June.
    2. R. Guesnerie, 2002. "Anchoring Economic Predictions in Common Knowledge," Econometrica, Econometric Society, vol. 70(2), pages 439-480, March.
    3. Xavier Vives, 1993. "How Fast do Rational Agents Learn?," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 60(2), pages 329-347.
    4. Gabriel Desgranges & Maik Heinemann, 2004. "Strongly rational expectations equilibria with endogenous acquisition of information," Computing in Economics and Finance 2004 35, Society for Computational Economics.
    5. Heinemann, Maik, 2009. "E-stability and stability of adaptive learning in models with private information," Journal of Economic Dynamics and Control, Elsevier, vol. 33(12), pages 2001-2014, December.
    6. Verrecchia, Robert E, 1982. "Information Acquisition in a Noisy Rational Expectations Economy," Econometrica, Econometric Society, vol. 50(6), pages 1415-1430, November.
    7. Jayant Vivek Ganguli & Liyan Yang, 2009. "Complementarities, Multiplicity, and Supply Information," Journal of the European Economic Association, MIT Press, vol. 7(1), pages 90-115, March.
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    Cited by:

    1. Manzano, Carolina & Vives, Xavier, 2011. "Public and private learning from prices, strategic substitutability and complementarity, and equilibrium multiplicity," Journal of Mathematical Economics, Elsevier, vol. 47(3), pages 346-369.

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    More about this item

    Keywords

    Recursive Least Squares Learning; Eductive Stability; Rational Expectations; Private Information;
    All these keywords.

    JEL classification:

    • D8 - Microeconomics - - Information, Knowledge, and Uncertainty
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling

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