Private Uncertainty and Multiplicity
This paper provides the conditions under which small enough private uncertainty on an aggregate endogenous state of the economy can invalidate uniqueness of the equilibrium. The main result is presented in a fully microfounded macroeconomic model where agents learn from arising prices. The findings apply to a broad class of static signal extraction problems where both fundamental correlation and pay-off externalities jointly contribute to a multiplicity of equilibria. The cases where only one of these two determinants is sufficient for a multiplicity are also isolated and discussed.
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