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Knowing the Forecasts of Others

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Author Info

  • Joseph G. Pearlman

    (London Metropolitan University)

  • Thomas J. Sargent

    (New York University)

Abstract

We apply recursive methods to obtain a finite dimensional and recursive representation of an equilibrium of one of Townsend's models of 'forecasting the forecasts of others'. The equilibrium has the property that decision makers make common forecasts of the hidden state variable whose presence motivates them to pay attention to prices in other markets. Thus, the model has too few sources of randomness to put decision makers into a situation where they should form 'higher order beliefs' (i.e., beliefs about others' beliefs). In Townsend's model, they know the beliefs of others because they share them. We attain our finite-dimensional recursive representation by applying methods of Pearlman, Currie, and Levine (1986). (Copyright: Elsevier)

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File URL: http://dx.doi.org/10.1016/j.red.2004.10.011
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Bibliographic Info

Article provided by Elsevier for the Society for Economic Dynamics in its journal Review of Economic Dynamics.

Volume (Year): 8 (2005)
Issue (Month): 2 (April)
Pages: 480-497

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Handle: RePEc:red:issued:v:8:y:2005:i:2:p:480-497

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Related research

Keywords: Forecasting the forecasts of others; higher order beliefs; pooling equilibrium; recursive methods; Kalman filter.;

References

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  1. Franklin Allen & Stephen Morris & Hyun Song Shin, 2003. "Beauty Contests, Bubbles and Iterated Expectations in Asset Markets," Cowles Foundation Discussion Papers 1406, Cowles Foundation for Research in Economics, Yale University.
  2. Michael Woodford, 2001. "Imperfect Common Knowledge and the Effects of Monetary Policy," NBER Working Papers 8673, National Bureau of Economic Research, Inc.
  3. Kenneth Kasa, 2000. "Forecasting the Forecasts of Others in the Frequency Domain," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 3(4), pages 726-756, October.
  4. Anderson, Evan W. & McGrattan, Ellen R. & Hansen, Lars Peter & Sargent, Thomas J., 1996. "Mechanics of forming and estimating dynamic linear economies," Handbook of Computational Economics, in: H. M. Amman & D. A. Kendrick & J. Rust (ed.), Handbook of Computational Economics, edition 1, volume 1, chapter 4, pages 171-252 Elsevier.
  5. Townsend, Robert M, 1983. "Forecasting the Forecasts of Others," Journal of Political Economy, University of Chicago Press, vol. 91(4), pages 546-88, August.
  6. 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.
  7. 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.
  8. Hans M. Amman & David A. Kendrick, . "Computational Economics," Online economics textbooks, SUNY-Oswego, Department of Economics, number comp1, Spring.
  9. Pearlman, Joseph & Currie, David & Levine, Paul, 1986. "Rational expectations models with partial information," Economic Modelling, Elsevier, vol. 3(2), pages 90-105, April.
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