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(Q,S,s) Pricing Rules

  • Kenneth Burdett

    ()

    (Department of Economics, University of Pennsylvania)

  • Guido Menzio

    ()

    (Department of Economics, University of Pennsylvania and NBER)

We study the effect of menu costs on the pricing behavior of sellers and on the cross-sectional distribution of prices in the search-theoretic model of imperfect competition of Burdett and Judd (1983). We find that, when menu costs are small, the equilibrium is such that sellers follow a (Q, S, s) pricing rule. According to a (Q, S, s) rule, a seller lets inflation erode the real value of its nominal price until it reaches some point s. Then, the seller pays the menu cost and changes its nominal price so that the real value of the new price is randomly drawn from a distribution with support [S,Q], where Q is the buyer’s reservation price and S is some price between s and Q. Only when the menu cost is relatively large, the equilibrium is such that sellers follow a standard (S; s) pricing rule. We argue that whether sellers follow a (Q, S, s) or an (S, s) rule matters for the estimation of menu costs and seller-specific shocks.

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File URL: http://economics.sas.upenn.edu/system/files/13-024.pdf
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Paper provided by Penn Institute for Economic Research, Department of Economics, University of Pennsylvania in its series PIER Working Paper Archive with number 13-024.

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Length: 42 pages
Date of creation: 29 May 2013
Date of revision:
Handle: RePEc:pen:papers:13-024
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  1. Allen Head & Lucy Qian Liu & Guido Menzio & Randall Wright, 2011. "Sticky Prices: A New Monetarist Approach," NBER Working Papers 17520, National Bureau of Economic Research, Inc.
  2. Peter J. Klenow & Oleksiy Kryvtsov, 2007. "State-Dependent or Time-Dependent Pricing: Does It Matter for Recent U.S. Inflation?," Discussion Papers 07-007, Stanford Institute for Economic Policy Research.
  3. Han Hong & Matthew Shum, 2006. "Using price distributions to estimate search costs," RAND Journal of Economics, RAND Corporation, vol. 37(2), pages 257-275, 06.
  4. Benabou, Roland, 1988. "Search, Price Setting and Inflation," Review of Economic Studies, Wiley Blackwell, vol. 55(3), pages 353-76, July.
  5. 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.
  6. repec:dgr:uvatin:20060019 is not listed on IDEAS
  7. Robert E. Lucas, Jr. & Nancy L. Stokey, 1985. "Money and Interest in a Cash-in-Advance Economy," NBER Working Papers 1618, National Bureau of Economic Research, Inc.
  8. 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.
  9. Jose Luis Moraga-Gonzalez & Matthijs R. Wildenbeest, 0000. "Maximum Likelihood Estimation of Search Costs," Tinbergen Institute Discussion Papers 06-019/1, Tinbergen Institute.
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