Journal Article

Verifying Competitive Equilibria in Dynamic Economies

Felix Kubler

in The Review of Economic Studies

Published on behalf of Review of Economic Studies Ltd

Volume 78, issue 4, pages 1379-1399
Published in print October 2011 | ISSN: 0034-6527
Published online February 2011 | e-ISSN: 1467-937X | DOI: http://dx.doi.org/10.1093/restud/rdr005
Verifying Competitive Equilibria in Dynamic Economies

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  • Mathematical Methods; Programming Methods; Mathematical and Simulation Modelling
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In this paper, I examine ε-equilibria of stationary dynamic economies with heterogeneous agents and possibly incomplete financial markets. I give a simple example to show that even for arbitrarily small ε > 0, allocation and prices can be far away from exact equilibrium allocations and prices. That is, errors in market clearing or individuals' optimality conditions do not provide enough information to assess the quality of an approximation. I derive a sufficient condition for an ε-equilibrium to be close to an exact equilibrium. If the economic fundamentals are semi-algebraic, one can verify computationally whether this condition holds. The condition can be interpreted economically as a robustness requirement on the set of ε-equilibria which form a neighbourhood of the computed approximation. I illustrate the main result and the computational method using an infinite horizon economy with overlapping generations and incomplete financial markets.

Keywords: Dynamic general equilibrium; Semi-algebraic economy; Computational methods; C63; D52; G12

Journal Article.  9672 words.  Illustrated.

Subjects: Mathematical Methods; Programming Methods; Mathematical and Simulation Modelling ; Economics ; General Equilibrium and Disequilibrium

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