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Beauty Contests, Bubbles and Iterated Expectations in Asset Markets

In a financial market where traders are risk averse and short lived, and prices are noisy, asset prices today depend on the average expectation today of tomorrow's price. Thus (iterating this relationship) the date 1 price equals the date 1 average expectation of the date 2 average expectation of the date 3 price. This will not in general equal the date 1 average expectation of the date 3 price. We show how this failure of the law of iterated expectations for average belief can help understand the role of higher order beliefs in a fully rational asset pricing model and explain over-reaction to (noisy) public information.

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File URL: http://cowles.econ.yale.edu/P/cd/d14a/d1406.pdf
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Paper provided by Cowles Foundation for Research in Economics, Yale University in its series Cowles Foundation Discussion Papers with number 1406.

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Length: 37 pages
Date of creation: Mar 2003
Date of revision:
Publication status: Published in Review of Financial Studies (2006), 19: 719-752
Handle: RePEc:cwl:cwldpp:1406
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Web page: http://cowles.econ.yale.edu/
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  1. Dow, James & Gorton, Gary, 1994. " Arbitrage Chains," Journal of Finance, American Finance Association, vol. 49(3), pages 819-49, July.
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  7. Franklin Allen & Stephen Morris & Andrew Postlewaite, . "Finite Bubbles with Short Sale Constraints and Asymmetric Information (Reprint 042)," Rodney L. White Center for Financial Research Working Papers 16-92, Wharton School Rodney L. White Center for Financial Research.
  8. Tirole, Jean, 1982. "On the Possibility of Speculation under Rational Expectations," Econometrica, Econometric Society, vol. 50(5), pages 1163-81, September.
  9. 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.
  10. Michael Woodford, 2001. "Imperfect Common Knowledge and the Effects of Monetary Policy," NBER Working Papers 8673, National Bureau of Economic Research, Inc.
  11. Harrison, J. Michael & Kreps, David M., 1979. "Martingales and arbitrage in multiperiod securities markets," Journal of Economic Theory, Elsevier, vol. 20(3), pages 381-408, June.
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  13. Christian Hellwig, 2002. "Public Announcements, Adjustment Delays, and the Business Cycle (November 2002)," UCLA Economics Online Papers 208, UCLA Department of Economics.
  14. Markus K Brunnermeier, 2002. "Bubbles and Crashes," FMG Discussion Papers dp401, Financial Markets Group.
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  17. Ausubel, Lawrence M., 1990. "Partially-revealing rational expectations equilibrium in a competitive economy," Journal of Economic Theory, Elsevier, vol. 50(1), pages 93-126, February.
  18. Allen, Franklin & Gorton, Gary, 1993. "Churning Bubbles," Review of Economic Studies, Wiley Blackwell, vol. 60(4), pages 813-36, October.
  19. J. Bradford De Long & Andrei Shleifer & Lawrence H. Summers & Robert J. Waldmann, 1989. "Positive Feedback Investment Strategies and Destabilizing Rational Speculation," NBER Working Papers 2880, National Bureau of Economic Research, Inc.
  20. Samet, Dov, 1998. "Iterated Expectations and Common Priors," Games and Economic Behavior, Elsevier, vol. 24(1-2), pages 131-141, July.
  21. Biais, Bruno & Bossaerts, Peter, 1998. "Asset Prices and Trading Volume in a Beauty Contest," Review of Economic Studies, Wiley Blackwell, vol. 65(2), pages 307-40, April.
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  23. Brunnermeier, Markus K., 2001. "Asset Pricing under Asymmetric Information: Bubbles, Crashes, Technical Analysis, and Herding," OUP Catalogue, Oxford University Press, number 9780198296980.
  24. Kenneth A. Froot & David S. Scharfstein & Jeremy C. Stein, 1990. "Herd on the Street: Informational Inefficiencies in a Market with Short-Term Speculation," NBER Working Papers 3250, National Bureau of Economic Research, Inc.
  25. Townsend, Robert M, 1983. "Forecasting the Forecasts of Others," Journal of Political Economy, University of Chicago Press, vol. 91(4), pages 546-88, August.
  26. Diamond, Douglas W. & Verrecchia, Robert E., 1981. "Information aggregation in a noisy rational expectations economy," Journal of Financial Economics, Elsevier, vol. 9(3), pages 221-235, September.
  27. 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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