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Economic Dynamics Under Heterogeneous Learning: Necessary and Sufficient Conditions for Stability

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Author Info
Dmitri Kolyuzhnov
Abstract

I provide sufficient conditions and necessary conditions for stability of a structurally heterogeneous economy under heterogeneous learning of agents. These conditions are written in terms of the structural heterogeneity independent of heterogeneity in learning. I have found an easily interpretable unifying condition which is sufficient for convergence of an economy under mixed RLS/SG learning with different degrees of inertia towards a rational expectations equilibrium for a broad class of economic models and a criterion for such a convergence in the univariate case. The conditions are formulated using the concept of a subeconomy and a suitably defined aggregate economy. I demonstrate and provide interpretation of the derived conditions and the criterion on univariate and multivariate examples, including two specifications of the overlapping generations model and the model of simultaneous markets with structural heterogeneity.

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Paper provided by The Center for Economic Research and Graduate Education - Economic Institute, Prague in its series CERGE-EI Working Papers with number wp378.

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Date of creation: Dec 2008
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Handle: RePEc:cer:papers:wp378

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Related research
Keywords: Adaptive learning; stability of equilibrium; heterogeneous agents.;

Find related papers by JEL classification:
C62 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Existence and Stability Conditions of Equilibrium
D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search, Learning, and Information
E10 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - General

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