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Existence of adaptively stable sunspot equilibria near an indeterminate steady state

  • Evans, George W.
  • Honkapohja, Seppo

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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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
Contact details of provider: Web page: http://www.elsevier.com/locate/inca/622869

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  1. George W. Evans & Seppo Honkapohja & Ramon Marimon, 2002. "Stable Sunspot Equilibira in a Cash-in-Advance Economy," University of Oregon Economics Department Working Papers 2001-5, University of Oregon Economics Department, revised 15 Nov 2005.
  2. 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.
  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. 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.
  5. 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.
  6. George Evans & Seppo Honkapohja & Paul Romer, 1996. "Growth Cycles," NBER Working Papers 5659, National Bureau of Economic Research, Inc.
  7. 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.
  8. Howitt, P. & Mcfee, R.P., 1990. "Animal Spirits," UWO Department of Economics Working Papers 9005, University of Western Ontario, Department of Economics.
  9. Azariadis, Costas, 1981. "Self-fulfilling prophecies," Journal of Economic Theory, Elsevier, vol. 25(3), pages 380-396, December.
  10. Woodford, Michael, 1986. "Learning to Believe in Sunspots," Working Papers 86-16, C.V. Starr Center for Applied Economics, New York University.
  11. Cass, David & Shell, Karl, 1983. "Do Sunspots Matter?," Journal of Political Economy, University of Chicago Press, vol. 91(2), pages 193-227, April.
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