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A simple method for computing equilibria when asset markets are incomplete

Wei Ma

Journal of Economic Dynamics and Control, 2015, vol. 52, issue C, 32-38

Abstract: The problem of computing equilibria for general equilibrium models with incomplete real asset markets, or GEI models for the sake of brevity, is reconsidered. It is shown here that the rank-dropping behavior of the asset return matrix could be dealt with in rather a simple fashion: We first compute its singular value decomposition, and then, through this decomposition, construct, by the introduction of a homotopy parameter, a new matrix such that it has constant rank before a desired equilibrium is reached. By adjunction of this idea to the homotopy method, a simpler constructive proof is obtained for the generic existence of GEI equilibria. For the purpose of computing these equilibria, from this constructive proof is then derived a path-following algorithm whose performance is finally demonstrated by means of three numerical examples.

Keywords: Incomplete asset markets; General equilibrium theory; Homotopy method (search for similar items in EconPapers)
JEL-codes: C63 C68 (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:dyncon:v:52:y:2015:i:c:p:32-38

DOI: 10.1016/j.jedc.2014.11.018

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Journal of Economic Dynamics and Control is currently edited by J. Bullard, C. Chiarella, H. Dawid, C. H. Hommes, P. Klein and C. Otrok

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