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Stable sunspot equilibria in a cash-in-advance economy

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  • George W. Evans
  • Seppo Honkapohja
  • Ramon Marimon

Abstract

We analyze a monetary model with flexible labor supply, cash-inadvance constraints and seigniorage-financed government deficits. If the intertemporal elasticity of substitution of labor is greater than one, there are two steady states, one determinate and the other indeterminate. If the elasticity is less than one, there is a unique steady state, which can be indeterminate. Only in the latter case do there exist sunspot equilibria that are stable under adaptive learning. A sufficient reduction in government purchases can in many cases eliminate the sunspot equilibria while raising consumption/labor taxes even enough to balance the budget may fail to achieve determinacy.

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Bibliographic Info

Paper provided by Department of Economics and Business, Universitat Pompeu Fabra in its series Economics Working Papers with number 844.

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Date of creation: Feb 2004
Date of revision: Jul 2005
Handle: RePEc:upf:upfgen:844

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Web page: http://www.econ.upf.edu/

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Keywords: Indeterminacy; learnability; expectational stability; endogenous fluctuations; seigniorage;

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  1. Barnett,William A. & Geweke,John & Shell,Karl (ed.), 1989. "Economic Complexity: Chaos, Sunspots, Bubbles, and Nonlinearity," Cambridge Books, Cambridge University Press, number 9780521355636, October.
  2. Evans George W & McGough Bruce, 2005. "Indeterminacy and the Stability Puzzle in Non-Convex Economies," The B.E. Journal of Macroeconomics, De Gruyter, vol. 5(1), pages 1-46, September.
  3. Blanchard, Olivier Jean & Kahn, Charles M, 1980. "The Solution of Linear Difference Models under Rational Expectations," Econometrica, Econometric Society, vol. 48(5), pages 1305-11, July.
  4. Ramon Marimon & Stephen E. Spear & Shyam Sunder, 1993. "Expectationally-driven market volatility: An experimental study," Economics Working Papers 21, Department of Economics and Business, Universitat Pompeu Fabra.
  5. Evans, George W. & Honkapohja, Seppo, 2003. "Existence of adaptively stable sunspot equilibria near an indeterminate steady state," Journal of Economic Theory, Elsevier, vol. 111(1), pages 125-134, July.
  6. George W. Evans & Seppo Honkapohja, 2001. "Expectational Stability of Resonant Frequency Sunspot Equilibria," CESifo Working Paper Series 497, CESifo Group Munich.
  7. George Evans & Seppo Honkapohja & Paul Romer, 1996. "Growth Cycles," NBER Working Papers 5659, National Bureau of Economic Research, Inc.
  8. 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.
  9. Bray, Margaret M & Savin, Nathan E, 1986. "Rational Expectations Equilibria, Learning, and Model Specification," Econometrica, Econometric Society, vol. 54(5), pages 1129-60, September.
  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. Evans, George W., 1989. "The fragility of sunspots and bubbles," Journal of Monetary Economics, Elsevier, vol. 23(2), pages 297-317, March.
  12. Duffy John, 1994. "On Learning and the Nonuniqueness of Equilibrium in an Overlapping Generations Model with Fiat Money," Journal of Economic Theory, Elsevier, vol. 64(2), pages 541-553, December.
  13. 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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Cited by:
  1. Pedro Gil, 2013. "Animal spirits and the composition of innovation in a lab-equipment R&D model with transition," Journal of Economics, Springer, vol. 108(1), pages 1-33, January.
  2. George W. Evans & Seppo Honkapohja, 2001. "Existence of Adaptively Stable Sunspot Equilibria Near an Indeterminate Steady State," CESifo Working Paper Series 478, CESifo Group Munich.
  3. Evans, George W & Honkapohja, Seppo, 2008. "Expectations, Learning and Monetary Policy: An Overview of Recent Rersearch," CEPR Discussion Papers 6640, C.E.P.R. Discussion Papers.
  4. George W. Evans & Bruce McGough, 2003. "Monetary Policy, Indeterminacy and Learning," University of Oregon Economics Department Working Papers 2003-34, University of Oregon Economics Department, revised 01 Apr 2004.
  5. Seonghoon Cho & Antonio Moreno, 2006. "Expectational Stability in Multivariate Models," Faculty Working Papers 06/08, School of Economics and Business Administration, University of Navarra.
  6. Stefano Eusepi, 2005. "Comparing forecast-based and backward-looking Taylor rules: a "global" analysis," Staff Reports 198, Federal Reserve Bank of New York.
  7. Pedro Rui Mazeda Gil, 2009. "Animal Spirits and the Composition of Innovation in a Lab-Equipment R&D Model," FEP Working Papers 336, Universidade do Porto, Faculdade de Economia do Porto.

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