Non-ergodic Behavior in a Financial Market with Interacting Investors
Ulrich Horst and
Jan Wezelburger
No 229, 2006 Meeting Papers from Society for Economic Dynamics
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
Keywords: financial markets; interaction; random difference equations; stochastic approximation (search for similar items in EconPapers)
JEL-codes: C62 D85 G12 (search for similar items in EconPapers)
Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:red:sed006:229
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