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A Simple Method for Computing Equilibria when Asset Markets Are Incomplete

Wei Ma ()
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Wei Ma: Department of Economics, University of Pretoria

No 201478, Working Papers from University of Pretoria, Department of Economics

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 two numerical examples.

Keywords: Incomplete asset markets; General equilibrium theory; Homotopy method (search for similar items in EconPapers)
JEL-codes: C68 C63 (search for similar items in EconPapers)
Pages: 7 pages
Date: 2014-12
New Economics Papers: this item is included in nep-cmp
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