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Sunspot Fluctuations around a Steady State: The Case of Multidimensional, One-Step Forward Looking Economic Models

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Author Info
Chiappori, Pierre-Andre
Geoffard, Pierre-Yves
Guesnerie, Roger

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Abstract

The paper investigates the existence of stationary sunspot equilibria (SSE) in the vicinity of a steady state in a general, one-step forward looking economic model of dimension n. It is shown that, whenever the steady state is indeterminate, for the associated deterministic dynamics--i.e., there exists a continuum of perfect foresight paths converging to the steady state--then there exists a continuum of SSE of finite order in any neighborhood of the steady state. The proof relies upon bifurcation theory; it provides a characterization of the random processes for which SSE may appear and a description of the location of the support of the SSE close to the bifurcation. The results apply in particular to linear models. Copyright 1992 by The Econometric Society.

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

Volume (Year): 60 (1992)
Issue (Month): 5 (September)
Pages: 1097-126
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Handle: RePEc:ecm:emetrp:v:60:y:1992:i:5:p:1097-126

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  1. Kenneth L. Judd, 1997. "Computational Economics and Economic Theory: Substitutes or Complements," NBER Technical Working Papers 0208, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  2. George W. Evans & Seppo Honkapohja, 2001. "Expectational Stability of Resonant Frequency Sunspot Equilibria," CESifo Working Paper Series CESifo Working Paper No. , CESifo Group Munich. [Downloadable!]
  3. George W. Evans & Bruce McGough, 2006. "Stable Finite-State Markov Sunspots," University of Oregon Economics Department Working Papers 2006-13, University of Oregon Economics Department. [Downloadable!]
  4. Julio Dávila, . "Reducing Overlapping Generations Economies to Finite Economies," CARESS Working Papres 00-08, University of Pennsylvania Center for Analytic Research and Economics in the Social Sciences. [Downloadable!]
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  5. Jordi Galí, 1993. "Monopolistic Competition, Business Cycles, and the Composition of Aggregate Demand," Economics Working Papers 45, Department of Economics and Business, Universitat Pompeu Fabra. [Downloadable!]
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  6. Julio Davila, 2001. "Multiplicity, Instability and Sunspots in Games," Penn CARESS Working Papers 98ea9c46b8bd85cddd877d3db, Penn Economics Department. [Downloadable!]
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  7. Dmitri Kolyuzhnov & Anna Bogomolova, 2004. "Escape Dynamics: A Continuous Time Approximation," Econometric Society 2004 Latin American Meetings 27, Econometric Society. [Downloadable!]
  8. G. Desgranges & G. Negroni, 2001. "Expectations Coordination on a Sunspot Equilibrium: an Eductive Approach," THEMA Working Papers 2001-13, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise. [Downloadable!]
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  9. Fukuda, Shin-ichi, 1997. "Multiple Equilibria in the Endogenous Economic Growth Model with the Cash-in-Advance Constraint ," CIRJE F-Series 97-F-11, CIRJE, Faculty of Economics, University of Tokyo. [Downloadable!]
  10. 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)
  11. Dmitri Kolyuzhnov & Anna Bogomolova, 2004. "Escape Dynamics: A Continuous Time Approximation," Econometric Society 2004 Far Eastern Meetings 557, Econometric Society. [Downloadable!]
  12. Roger Guesnerie, 2008. "Macroeconomic and monetary policies from the "eductive" viewpoint," PSE Working Papers 2008-24, PSE (Ecole normale supérieure). [Downloadable!]
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  13. Julio Dávila, . "Time and Uncertainty in Overlapping Generations Economies," Penn CARESS Working Papers f4274aafd97bb75e2364542f8, Penn Economics Department. [Downloadable!]
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  14. Shin-ichi Fukuda, 1998. "Extraneous Shocks and International Linkage of Business Cycles in a Two-Country Monetary Model," CIRJE F-Series CIRJE-F-16, CIRJE, Faculty of Economics, University of Tokyo. [Downloadable!]
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  15. George W. Evans & Seppo Honkapohja, 2001. "Existence of Adaptively Stable Sunspot Equilibria Near an Indeterminate Steady State," CESifo Working Paper Series CESifo Working Paper No. , CESifo Group Munich. [Downloadable!]
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  16. Dmitri Kolyuzhnov & Anna Bogomolova, 2004. "Escape Dynamics: A Continuous Time Approximation," Computing in Economics and Finance 2004 190, Society for Computational Economics. [Downloadable!]
  17. Evans, George W. & Honkapohja, Seppo & Marimon, Ramon, 2001. "Stable Sunspot Equilibria in a Cash-in-Advance Economy," CESifo Working Paper Series CESifo Working Paper No. , CESifo Group Munich. [Downloadable!]
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