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Computing Equilibria When Asset Markets Are Incomplete

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Author Info
Brown, Donald J
DeMarzo, Peter M
Eaves, B Curtis

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Abstract

Existence of equilibrium with incomplete markets is problematic because demand functions are typically not continuous. Discontinuities occur at prices for which a marketed asset suddenly becomes redundant. The authors show that this discontinuity disappears if they allow an agent in the economy to introduce a new asset when such redundancies occur. This enables them to prove generic existence with incomplete markets using a standard path-following argument. Moreover, the authors' approach suggests a simple algorithm for computing equilibria when markets are incomplete. They demonstrate this by computing equilibrium for a numerical example. Copyright 1996 by The Econometric Society.

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Publisher Info
Article provided by Econometric Society in its journal Econometrica.

Volume (Year): 64 (1996)
Issue (Month): 1 (January)
Pages: 1-27
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Handle: RePEc:ecm:emetrp:v:64:y:1996:i:1:p:1-27

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  1. P. Jean-Jacques Herings & Karl Schmedders, 2001. "Computing Equilibria in Finance Economies with Incomplete Markets and Transaction Costs," Discussion Papers 1318, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
    Other versions:
  2. P. Jean-Jacques Herings & Felix Kubler, 2000. "The Robustness of the CAPM-A Computational Approach," Econometric Society World Congress 2000 Contributed Papers 0400, Econometric Society. [Downloadable!]
    Other versions:
  3. Kenneth L. Judd & Sy-Ming Guu, 2001. "Asymptotic Methods for Asset Market Equilibrium Analysis," NBER Working Papers 8135, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  4. Mercedes Esteban-Bravo, 2004. "An Interior Point Algorithm For Computing Equilibria In Economies With Incomplete Asset Markets," Business Economics Working Papers wb046023, Universidad Carlos III, Departamento de Economía de la Empresa. [Downloadable!]
  5. Herings,P. Jean-Jacques & Kubler,Felix, 2002. "Computing Equilibria in Finance Economies," Research Memoranda 010, Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization. [Downloadable!]
    Other versions:
  6. Philippe Bich, 2005. "On the existence of approximated equilibria in discontinuous economies," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00287685_v1, HAL. [Downloadable!]
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