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Existence of adaptively stable sunspot equilibria near an indeterminate steady state

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  • Evans, George W.
  • Honkapohja, Seppo

Abstract

We examine the nonlinear model x_t = E_t F(x_(t+1)). Markov SSEs exist near an indeterminate steady state, hat(x)=F(hat(x)), provided |F'(hat(x)| > 1. Despite the importance of indeterminancy in macroeconomics, earlier results have not provided conditions for the existance of adaptively stable SSEs near an indeterminate steady state. We show that there exists Markov SSEs near hat(x) that are E-stable, and therefore locally stable under adaptive learning, if F'(hat(x))

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Bibliographic Info

Article provided by Elsevier in its journal Journal of Economic Theory.

Volume (Year): 111 (2003)
Issue (Month): 1 (July)
Pages: 125-134

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Handle: RePEc:eee:jetheo:v:111:y:2003:i:1:p:125-134

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Web page: http://www.elsevier.com/locate/inca/622869

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  1. Woodford, Michael, 1990. "Learning to Believe in Sunspots," Econometrica, Econometric Society, vol. 58(2), pages 277-307, March.
  2. Chiappori, Pierre-Andre & Geoffard, Pierre-Yves & Guesnerie, Roger, 1992. "Sunspot Fluctuations around a Steady State: The Case of Multidimensional, One-Step Forward Looking Economic Models," Econometrica, Econometric Society, vol. 60(5), pages 1097-126, September.
  3. Benhabib, Jess & Farmer, Roger E.A., 1999. "Indeterminacy and sunspots in macroeconomics," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 6, pages 387-448 Elsevier.
  4. George W. Evans & Seppo M.S. Honkapohja & Ramon Marimon, 2007. "Stable Sunspot Equilibria in a Cash-in-Advance Economy," The B.E. Journal of Macroeconomics, De Gruyter, vol. 7(1), pages 3.
  5. George Evans & Seppo Honkapohja & Paul Romer, 1996. "Growth Cycles," NBER Working Papers 5659, National Bureau of Economic Research, Inc.
  6. Howitt, P. & Mcfee, R.P., 1990. "Animal Spirits," UWO Department of Economics Working Papers 9005, University of Western Ontario, Department of Economics.
  7. Guesnerie, R. & Woodford, M., 1991. "Endogenous Fluctuations," DELTA Working Papers 91-10, DELTA (Ecole normale supérieure).
  8. Honkapohja, Seppo & Mitra, Kaushik, 2004. "Are non-fundamental equilibria learnable in models of monetary policy?," Journal of Monetary Economics, Elsevier, vol. 51(8), pages 1743-1770, November.
  9. Desgranges, Gabriel & Negroni, Giorgio, 2003. "Expectations Coordination On A Sunspot Equilibrium: An Eductive Approach," Macroeconomic Dynamics, Cambridge University Press, vol. 7(01), pages 7-41, February.
  10. Cass, David & Shell, Karl, 1983. "Do Sunspots Matter?," Journal of Political Economy, University of Chicago Press, vol. 91(2), pages 193-227, April.
  11. Azariadis, Costas, 1981. "Self-fulfilling prophecies," Journal of Economic Theory, Elsevier, vol. 25(3), pages 380-396, December.
  12. Evans George W. & Honkapohja Seppo, 1994. "On the Local Stability of Sunspot Equilibria under Adaptive Learning Rules," Journal of Economic Theory, Elsevier, vol. 64(1), pages 142-161, October.
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