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

  • A. Andrew John
  • Alexander L. Wolman

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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  1. Henry Siu & Michael B. Devereux, 2004. "State Dependent Pricing and Business Cycle Asymmetries," 2004 Meeting Papers 161, Society for Economic Dynamics.
  2. Jonas D.M. Fisher & Andreas Hornstein, 1998. "(S,s) Inventory policies in general equilibrium," Working Paper 97-07, Federal Reserve Bank of Richmond.
  3. 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.
  4. Julia K. Thomas, . "Is Lumpy Investment Relevant for the Business Cycle?," GSIA Working Papers 1998-E250, Carnegie Mellon University, Tepper School of Business.
  5. Russell Cooper & John Haltiwanger & Laura Power, 1995. "Machine Replacement and the Business Cycle: Lumps and Bumps," NBER Working Papers 5260, National Bureau of Economic Research, Inc.
  6. Andrew Caplin & John Leahy, 1997. "Aggregation and Optimization with State-Dependent Pricing," Econometrica, Econometric Society, vol. 65(3), pages 601-626, May.
  7. 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.
  8. Leif Danziger, 1998. "A Dynamic Economy with Costly Price Adjustment," Cahiers de recherche CREFE / CREFE Working Papers 83, CREFE, Université du Québec à Montréal.
  9. V. V. Chari & Patrick J. Kehoe & Ellen R. McGrattan, 1996. "Sticky Price Models of the Business Cycle: Can the Contract Multiplier Solve the Persistence Problem?," NBER Working Papers 5809, National Bureau of Economic Research, Inc.
  10. Laurence Ball & N. Gregory Mankiw & David Romer, 1988. "The New Keynsesian Economics and the Output-Inflation Trade-off," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 19(1), pages 1-82.
  11. 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.
  12. 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.
  13. 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.
  14. Ricardo J. Caballero & Eduardo M.R.A. Engel, 1991. "Heterogeneity and Output Fluctuations in a Dynamic Menu-Cost Economy," NBER Working Papers 3729, National Bureau of Economic Research, Inc.
  15. 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.
  16. 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.
  17. Laurence Ball & David Romer, 1987. "Sticky Prices as Coordination Failure," NBER Working Papers 2327, National Bureau of Economic Research, Inc.
  18. 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.
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