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An inquiry into the existence and uniqueness of equilibrium with state-dependent pricing

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Author Info
A. Andrew John
Alexander L. Wolman

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Abstract

State-dependent pricing models are now an operational framework for quantitative business cycle analysis. The analysis in Ball and Romer [1991], however, suggests that such models may be rife with multiple equilibria: in their static model price adjustment is always characterized by complementarity, a necessary condition for multiplicity. We study existence and uniqueness of equilibrium in a discrete-time state-dependent pricing model. In steady states of our model, we find only weak complementarity and no evidence of multiplicity. We likewise find no evidence of multiplicity in the presence of monetary shocks. However, nonexistence of symmetric steady-state equilibrium with pure strategies arises in a small region of the parameter space.

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Paper provided by Federal Reserve Bank of Richmond in its series Working Paper with number 04-04.

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Date of creation: 2004
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Handle: RePEc:fip:fedrwp:04-04

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Keywords: Equilibrium (Economics)

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  1. Henry Siu & Michael B. Devereux, 2004. "State Dependent Pricing and Business Cycle Asymmetries," 2004 Meeting Papers 161, Society for Economic Dynamics. [Downloadable!]
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  2. Leif Danziger, 1999. "A Dynamic Economy with Costly Price Adjustments," American Economic Review, American Economic Association, vol. 89(4), pages 878-901, September. [Downloadable!] (restricted)
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  3. Blanchard, Olivier Jean & Kiyotaki, Nobuhiro, 1987. "Monopolistic Competition and the Effects of Aggregate Demand," American Economic Review, American Economic Association, vol. 77(4), pages 647-66, September. [Downloadable!] (restricted)
  4. Julia K. Thomas, 2002. "Is Lumpy Investment Relevant for the Business Cycle?," Journal of Political Economy, University of Chicago Press, vol. 110(3), pages 508-534, June. [Downloadable!] (restricted)
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  5. V. V. Chari & Patrick J. Kehoe & Ellen R. McGrattan, 2000. "Sticky Price Models of the Business Cycle: Can the Contract Multiplier Solve the Persistence Problem?," Econometrica, Econometric Society, vol. 68(5), pages 1151-1180, September.
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  6. Caplin, Andrew & Leahy, John, 1991. "State-Dependent Pricing and the Dynamics of Money and Output," The Quarterly Journal of Economics, MIT Press, vol. 106(3), pages 683-708, August. [Downloadable!] (restricted)
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  7. Caplin, Andrew S & Spulber, Daniel F, 1987. "Menu Costs and the Neutrality of Money," The Quarterly Journal of Economics, MIT Press, vol. 102(4), pages 703-25, November. [Downloadable!] (restricted)
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  8. Hornstein, Andreas, 1993. "Monopolistic competition, increasing returns to scale, and the importance of productivity shocks," Journal of Monetary Economics, Elsevier, vol. 31(3), pages 299-316, June. [Downloadable!] (restricted)
  9. Jonas D.M. Fisher & Andreas Hornstein, 1997. "(S,s) Inventory policies in general equilibrium," Working Paper 97-07, Federal Reserve Bank of Richmond. [Downloadable!]
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  10. Michael Dotsey & Robert G. King & Alexander L. Wolman, 1999. "State-Dependent Pricing And The General Equilibrium Dynamics Of Money And Output," The Quarterly Journal of Economics, MIT Press, vol. 114(2), pages 655-690, May. [Downloadable!] (restricted)
  11. Howitt, Peter W, 1981. "Activist Monetary Policy under Rational Expectations," Journal of Political Economy, University of Chicago Press, vol. 89(2), pages 249-69, April. [Downloadable!] (restricted)
  12. Caplin, A. & Leahy, J., 1992. "Aggregation and Optimization with State-Dependent Pricing," Harvard Institute of Economic Research Working Papers 1595, Harvard - Institute of Economic Research.
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  13. Burstein, Ariel T., 2006. "Inflation and output dynamics with state-dependent pricing decisions," Journal of Monetary Economics, Elsevier, vol. 53(7), pages 1235-1257, October. [Downloadable!] (restricted)
  14. Cooper, Russell & John, Andrew, 1988. "Coordinating Coordination Failures in Keynesian Models," The Quarterly Journal of Economics, MIT Press, vol. 103(3), pages 441-63, August. [Downloadable!] (restricted)
  15. Caballero, Ricardo J & Engel, Eduardo M R A, 1993. "Heterogeneity and Output Fluctuations in a Dynamic Menu-Cost Economy," Review of Economic Studies, Blackwell Publishing, vol. 60(1), pages 95-119, January. [Downloadable!] (restricted)
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  16. Russell Cooper & John Haltiwanger & Laura Power, 1999. "Machine Replacement and the Business Cycle: Lumps and Bumps," American Economic Review, American Economic Association, vol. 89(4), pages 921-946, September. [Downloadable!] (restricted)
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  17. Ball, Laurence & Romer, David, 1991. "Sticky Prices as Coordination Failure," American Economic Review, American Economic Association, vol. 81(3), pages 539-52, June. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Michael Dotsey & Robert G. King, 2005. "Implications of State Dependent-Pricing for Dynamic Macroeconomic Models," Boston University - Department of Economics - Macroeconomics Working Papers Series WP2005-002, Boston University - Department of Economics. [Downloadable!]
    Other versions:
  2. Kevin X. D. Huang & Qinglai Meng, 2007. "Capital and macroeconomic instability in a discrete-time model with forward-looking interest rate rules," Working Papers 07-4, Federal Reserve Bank of Philadelphia. [Downloadable!]
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