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Learning Rare Events

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Author Info
Alvaro Sandroni
Abstract

In this paper I consider a dynamically complete market model without intrinsic uncertainty. The only uncertainty is modelled by sunspots. Agents' beliefs are heterogeneous, but eventually become homogeneous in the sense that agents' beliefs are identical in the limit. I show that if some states of nature occur rarely then arbitrarily large market crashes may occur infinitely often. This result contrasts with Cass and Shell's (83) results which show that when beliefs are homogeneous, in complete markets without intrinsic uncertainty, sunspots do not matter.

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File URL: http://www.kellogg.northwestern.edu/research/math/papers/1199.pdf
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Paper provided by Northwestern University, Center for Mathematical Studies in Economics and Management Science in its series Discussion Papers with number 1199.

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Date of creation: Nov 1997
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Handle: RePEc:nwu:cmsems:1199

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Related research
Keywords: Convergence to Rational Expectations; Learning; Rate Events; Market Crashes.;

Find related papers by JEL classification:
D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search, Learning, and Information

References listed on IDEAS
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  1. Gennotte, Gerard & Leland, Hayne, 1990. "Market Liquidity, Hedging, and Crashes," American Economic Review, American Economic Association, vol. 80(5), pages 999-1021, December. [Downloadable!] (restricted)
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  2. Kurz, Mordecai, 1994. "On the Structure and Diversity of Rational Beliefs," Economic Theory, Springer, vol. 4(6), pages 877-900, October.
  3. Harrison, J Michael & Kreps, David M, 1978. "Speculative Investor Behavior in a Stock Market with Heterogeneous Expectations," The Quarterly Journal of Economics, MIT Press, vol. 92(2), pages 323-36, May. [Downloadable!] (restricted)
  4. Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-45, November. [Downloadable!] (restricted)
  5. Kandel, Eugene & Pearson, Neil D, 1995. "Differential Interpretation of Public Signals and Trade in Speculative Markets," Journal of Political Economy, University of Chicago Press, vol. 103(4), pages 831-72, August. [Downloadable!] (restricted)
  6. Madrigal, Vicente & Scheinkman, Jose A., 1997. "Price Crashes, Information Aggregation, and Market-Making," Journal of Economic Theory, Elsevier, vol. 75(1), pages 16-63, July. [Downloadable!] (restricted)
  7. Lehrer, Ehud & Smorodinsky, Rann, 1997. "Repeated Large Games with Incomplete Information," Games and Economic Behavior, Elsevier, vol. 18(1), pages 116-134, January. [Downloadable!] (restricted)
  8. Stephen Morris, 1996. "Speculative investor behavior and learning," Working Papers 96-5, Federal Reserve Bank of Philadelphia. [Downloadable!]
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  9. Cass, David & Shell, Karl, 1983. "Do Sunspots Matter?," Journal of Political Economy, University of Chicago Press, vol. 91(2), pages 193-227, April. [Downloadable!] (restricted)
  10. Kalai, Ehud & Lehrer, Ehud, 1994. "Weak and strong merging of opinions," Journal of Mathematical Economics, Elsevier, vol. 23(1), pages 73-86, January. [Downloadable!] (restricted)
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  11. Harris, Milton & Raviv, Artur, 1993. "Differences of Opinion Make a Horse Race," Review of Financial Studies, Oxford University Press for Society for Financial Studies, vol. 6(3), pages 473-506. [Downloadable!] (restricted)
  12. Timmermann, Allan G, 1993. "How Learning in Financial Markets Generates Excess Volatility and Predictability in Stock Prices," The Quarterly Journal of Economics, MIT Press, vol. 108(4), pages 1135-45, November. [Downloadable!] (restricted)
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