Economic Dynamics Under Heterogeneous Learning: Necessary and Sufficient Conditions for Stability
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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- Johnson, Charles R., 1974. "Sufficient conditions for D-stability," Journal of Economic Theory, Elsevier, vol. 9(1), pages 53-62, September.
- Chryssi Giannitsarou, 2003. "Heterogeneous Learning," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 6(4), pages 885-906, October.
- Kaushik Mitra & Seppo Honkapohja, 2004.
"Learning Stability in Economies with Heterogenous Agents,"
Royal Holloway, University of London: Discussion Papers in Economics
04/17, Department of Economics, Royal Holloway University of London, revised Jul 2004.
- Seppo Honkapohja & Kaushik Mitra, 2006. "Learning Stability in Economies with Heterogeneous Agents," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 9(2), pages 284-309, April.
- Seppo Honkapohja & Kaushik Mitra, 2002. "Learning Stability in Economies with Heterogenous Agents," CESifo Working Paper Series 772, CESifo Group Munich.
- Honkapohja, Seppo & Mitra, Kaushik, 2002. "Learning stability in economics with heterogeneous agents," Working Paper Series 0120, European Central Bank.
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