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Non-ergodic Behavior in a Financial Market with Interacting Investors

Author

Listed:
  • Ulrich Horst

    (University of British Columbia)

  • Jan Wezelburger

Abstract

We identify possible long-run market shares and the long-run asset price dynamics of financial markets with heterogenous interacting agents. This involves stability conditions for a class of difference equation in a random environment, where the random environment is endogenously generated by agents' investment behavior. Depending on the evaluation of a performance measure of an investment, asset prices may behave in a non-ergodic manner. That is, the price processes converge in distribution, but the limiting distribution is not necessarily uniquely determined. The long-run market shares of two competing financial mediators may strongly depend on the random environment which is endogenously generated by a noise traders

Suggested Citation

  • Ulrich Horst & Jan Wezelburger, 2006. "Non-ergodic Behavior in a Financial Market with Interacting Investors," 2006 Meeting Papers 229, Society for Economic Dynamics.
    • Handle: RePEc:red:sed006:229
    as

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    References listed on IDEAS

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    More about this item

    Keywords

    financial markets; interaction; random difference equations; stochastic approximation;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • D85 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Network Formation
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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