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Incomplete Information and Informative Pricing: Theory and Application

  • University of California

    (San Diego)

  • Giacomo Rondina

This paper studies the information contained in the equilibrium aggregate price level of an economy where firms make output price decisions faced with incomplete information about economy-wide disturbances. It is shown that when heterogeneously informed firms are allowed to extract information from the equilibrium aggregate price, the ability of the aggregate price to be a sufficient statistics of the underlying aggregate disturbance depends on the degree of strategic complementarity in firms' pricing strategy. As the incentive to price similarly increases, aggregate price goes from a perfect to an imperfect signal of changes in the aggregate state of the economy. More generally, this paper contributes to the expanding literature on monetary business cycle and incomplete information initiated by Woodford (2003a) in three directions. First, it proposes a set of techniques in the frequency domain that allow for the explicit derivation of individual heterogeneous expectations in a log-linear framework while preserving the tractability of the equilibrium fixed point condition. Second, it develops and solves a stylized model where aggregate price plays a key informational role for imperfectly informed firms of the type advocated by Hayek. Finally, it presents an application to monetary policy in a setting with a simple feedback rule for the supply of money.

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File URL: https://economicdynamics.org/meetpapers/2008/paper_981.pdf
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Paper provided by Society for Economic Dynamics in its series 2008 Meeting Papers with number 981.

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Date of creation: 2008
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Handle: RePEc:red:sed008:981
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Society for Economic Dynamics Marina Azzimonti Department of Economics Stonybrook University 10 Nicolls Road Stonybrook NY 11790 USA

Web page: http://www.EconomicDynamics.org/society.htm
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  1. Kenneth Kasa, 1995. "Signal extraction and the propagation of business cycles," Working Papers in Applied Economic Theory 95-14, Federal Reserve Bank of San Francisco.
  2. Lucas, Robert E, Jr, 1975. "An Equilibrium Model of the Business Cycle," Journal of Political Economy, University of Chicago Press, vol. 83(6), pages 1113-44, December.
  3. Ivan Werning & George-Marios Angeletos, 2005. "Crises and Prices: Information Aggregation, Multiplicity and Volatility," 2005 Meeting Papers 284, Society for Economic Dynamics.
  4. Kenneth Kasa & Todd B. Walker & Charles H. Whiteman, 2006. "Asset Prices in a Time Series Model with Perpetually Disparately Informed, Competitive Traders," Caepr Working Papers 2006-010, Center for Applied Economics and Policy Research, Economics Department, Indiana University Bloomington.
  5. Laurence Ball & David Romer, 1987. "Real Rigidities and the Non-Neutrality of Money," NBER Working Papers 2476, National Bureau of Economic Research, Inc.
  6. Jeffery Amato & Hyun Shin, 2006. "Imperfect common knowledge and the information value of prices," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 27(1), pages 213-241, 01.
  7. Hellwig, Martin F., 1982. "Rational expectations equilibrium with conditioning on past prices: A mean-variance example," Journal of Economic Theory, Elsevier, vol. 26(2), pages 279-312, April.
  8. King, Robert G, 1982. "Monetary Policy and the Information Content of Prices," Journal of Political Economy, University of Chicago Press, vol. 90(2), pages 247-79, April.
  9. Lucas, Robert Jr., 1972. "Expectations and the neutrality of money," Journal of Economic Theory, Elsevier, vol. 4(2), pages 103-124, April.
  10. 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.
  11. Joseph G. Pearlman & Thomas J. Sargent, 2005. "Knowing the Forecasts of Others," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 8(2), pages 480-497, April.
  12. Guido Lorenzoni, 2006. "Demand Shocks and Monetary Policy," Computing in Economics and Finance 2006 524, Society for Computational Economics.
  13. George-Marios Angeletos & Alessandro Pavan, 2007. "Efficient Use of Information and Social Value of Information," Econometrica, Econometric Society, vol. 75(4), pages 1103-1142, 07.
  14. Townsend, Robert M, 1983. "Forecasting the Forecasts of Others," Journal of Political Economy, University of Chicago Press, vol. 91(4), pages 546-88, August.
  15. Taub, Bart, 1989. "Aggregate fluctuations as an information transmission mechanism," Journal of Economic Dynamics and Control, Elsevier, vol. 13(1), pages 113-150, January.
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