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Optimal Monetary Policy with Imperfect Common Knowledge

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  • Adam, Klaus

Abstract

We study optimal nominal demand policy in an economy with monopolistic competition and flexible prices when firms have imperfect common knowledge about the shocks hitting the economy. Parametrizing firms' information imperfections by a (Shannon) capacity parameter that constrains the amount of information flowing to each firm, we study how policy that minimizes a quadratic objective in output and prices depends on this parameter. When price setting decisions of firms are strategic complements, for a large range of capacity values optimal policy nominally accommodates mark-up shocks in the short-run. This finding is robust to the policy maker observing shocks imperfectly or being uncertain about firms' capacity parameter. With persistent mark-up shocks accommodation may increase in the medium term, but decreases in the long-run thereby generating a hump-shaped price response and a slow reduction in output. Instead, when prices are strategic substitutes, policy tends to react restrictively to mark-up shocks. However, rational expectations equilibria may then not exist with small amounts of imperfect common knowledge. --

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Bibliographic Info

Paper provided by Center for Financial Studies (CFS) in its series CFS Working Paper Series with number 2003/12.

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Date of creation: 2003
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Handle: RePEc:zbw:cfswop:200312

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Keywords: optimal policy; information frictions; imperfect common knowledge; higher order beliefs; Shannon capacity;

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  1. Bartosz Mackowiak & Mirko Wiederholt, 2004. "Optimal Sticky Prices under Rational Inattention," SFB 649 Discussion Papers SFB649DP2005-040, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany, revised Jul 2005.
  2. Philippe Bacchetta & Eric van Wincoop, 2003. "Can Information Heterogeneity Explain the Exchange Rate Determination Puzzle?," Working Papers 03.02, Swiss National Bank, Study Center Gerzensee.
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  8. Lucas, Robert Jr., 1972. "Expectations and the neutrality of money," Journal of Economic Theory, Elsevier, vol. 4(2), pages 103-124, April.
  9. Svensson, Lars E. O. & Woodford, Michael, 2001. "Indicator Variables for Optimal Policy under Asymmetric Information," Seminar Papers 689, Stockholm University, Institute for International Economic Studies.
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  11. Stephen Morris & Hyun Song Shin, 2000. "Global Games: Theory and Applications," Cowles Foundation Discussion Papers 1275R, Cowles Foundation for Research in Economics, Yale University, revised Aug 2001.
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  13. Nimark, Kristoffer P., 2005. "Calvo pricing and imperfect common knowledge: a forward looking model of rational inflation inertia," Working Paper Series 0474, European Central Bank.
  14. Sargent, Thomas J., 1991. "Equilibrium with signal extraction from endogenous variables," Journal of Economic Dynamics and Control, Elsevier, vol. 15(2), pages 245-273, April.
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  16. Townsend, Robert M, 1983. "Forecasting the Forecasts of Others," Journal of Political Economy, University of Chicago Press, vol. 91(4), pages 546-88, August.
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  18. Lucas, Robert E, Jr, 1973. "Some International Evidence on Output-Inflation Tradeoffs," American Economic Review, American Economic Association, vol. 63(3), pages 326-34, June.
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