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Stability under Learning of Equilibria in Financial Markets with Supply Information

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  • Maik Heinemann

    () (Institute of Economics, University of Lüneburg)

Abstract

In a recent paper Ganguli and Yang [2009] demonstrate, that there can exist multiple equilibria in a financial market model á la Grossman and 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 learning. This is true for both eductive learning following Guesnerie [2002] and adaptive learning via least–squares estimation (cf. Marcet and Sargent [1988] or Evans and 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, 2009. "Stability under Learning of Equilibria in Financial Markets with Supply Information," Working Paper Series in Economics 122, University of Lüneburg, Institute of Economics.
  • Handle: RePEc:lue:wpaper:122
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    References listed on IDEAS

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    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. 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, 2009. "Information Dispersion and Equilibrium Multiplicity," Working Papers 2072/43862, Universitat Rovira i Virgili, Department of Economics.

    More about this item

    Keywords

    Recursive Least Squares Learning; Eductive Stability; Rational Expectations; Private Information;

    JEL classification:

    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium

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