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The Relative Contributions of Private Information Sharing and Public Information Releases to Information Aggregation

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  • Darrell DUFFIE

    (Graduate School of Business, Stanford University and NBER)

  • Semyon MALAMUD

    (EPF Lausanne and Swiss Finance Institute)

  • Gustavo MANSO

    (Sloan School of Business, MIT)

Abstract

We calculate learning rates when agents are informed through both public and private observation of other agents’ actions. We provide an explicit solution for the evolution of the distribution of posterior beliefs. When the private learning channel is present, we show that convergence of the distribution of beliefs to the perfect-information limit is exponential at a rate equal to the sum of the mean arrival rate of public information and the mean rate at which individual agents are randomly matched with other agents. If, however, there is no private information sharing, then convergence is exponential at a rate strictly lower than the mean arrival rate of public information.

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Bibliographic Info

Paper provided by Swiss Finance Institute in its series Swiss Finance Institute Research Paper Series with number 09-33.

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Length: 39 pages
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Handle: RePEc:chf:rpseri:rp0933

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Web page: http://www.SwissFinanceInstitute.ch
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Related research

Keywords: information percolation; search; learning rates.;

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References

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  1. Darrell Duffie & Gustavo Manso, 2007. "Information Percolation in Large Markets," American Economic Review, American Economic Association, vol. 97(2), pages 203-209, May.
  2. Ricardo Lagos & Guillaume Rocheteau, 2009. "Liquidity in Asset Markets With Search Frictions," Econometrica, Econometric Society, vol. 77(2), pages 403-426, 03.
  3. Vives, Xavier, 1993. "How Fast Do Rational Agents Learn?," Review of Economic Studies, Wiley Blackwell, vol. 60(2), pages 329-47, April.
  4. Mikhail Golosov & Guido Lorenzoni & Aleh Tsyvinski, 2009. "Decentralized Trading with Private Information," NBER Working Papers 15513, National Bureau of Economic Research, Inc.
  5. Gale, Douglas, 1987. "Limit theorems for markets with sequential bargaining," Journal of Economic Theory, Elsevier, vol. 43(1), pages 20-54, October.
  6. Pierre-Olivier Weill, 2004. "Liquidity Premia in Dynamic Bargaining Markets," Econometric Society 2004 North American Winter Meetings 648, Econometric Society.
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  8. Amy K. Edwards & Lawrence E. Harris & Michael S. Piwowar, 2007. "Corporate Bond Market Transaction Costs and Transparency," Journal of Finance, American Finance Association, vol. 62(3), pages 1421-1451, 06.
  9. Shi Shougong, 1995. "Money and Prices: A Model of Search and Bargaining," Journal of Economic Theory, Elsevier, vol. 67(2), pages 467-496, December.
  10. Darrell Duffie & Nicolae Garleanu & Lasse Heje Pedersen, 2004. "Over-the-Counter Markets," NBER Working Papers 10816, National Bureau of Economic Research, Inc.
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  14. Abhijit Banerjee & Drew Fudenberg, 2010. "Word of Mouth Learning," Levine's Working Paper Archive 723, David K. Levine.
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  18. Philip J Reny & Motty Perry, 2006. "Toward a Strategic Foundation for Rational Expectations Equilibrium," Econometrica, Econometric Society, vol. 74(5), pages 1231-1269, 09.
  19. Pissarides, Christopher A, 1985. "Short-run Equilibrium Dynamics of Unemployment Vacancies, and Real Wages," American Economic Review, American Economic Association, vol. 75(4), pages 676-90, September.
  20. Amador, Manuel & Weill, Pierre-Olivier, 2006. "Learning from Private and Public Observation of Other's Actions," MPRA Paper 109, University Library of Munich, Germany.
  21. Arial Rubinstein & Asher Wolinsky, 1985. "Equilibrium in a Market with Sequential Bargaining," Levine's Working Paper Archive 623, David K. Levine.
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  23. Darrell Duffie & Semyon Malamud & Gustavo Manso, 2009. "Information Percolation With Equilibrium Search Dynamics," Econometrica, Econometric Society, vol. 77(5), pages 1513-1574, 09.
  24. Sun, Yeneng, 2006. "The exact law of large numbers via Fubini extension and characterization of insurable risks," Journal of Economic Theory, Elsevier, vol. 126(1), pages 31-69, January.
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Cited by:
  1. Mikhail Golosov & Aleh Tsyvinski & Guido Lorenzoni, 2008. "Decentralized trading with private information," 2008 Meeting Papers 391, Society for Economic Dynamics.
  2. Amador, Manuel & Weill, Pierre-Olivier, 2012. "Learning from private and public observations of othersʼ actions," Journal of Economic Theory, Elsevier, vol. 147(3), pages 910-940.
  3. Yang Lu & Wing Suen & Heng Chen, 2013. "The Power of Whispers: A Theory of Rumor, Communication and Revolution," 2013 Meeting Papers 411, Society for Economic Dynamics.
  4. Moscarini, Giuseppe & Wright, Randall, 2010. "Introduction to Search Theory and Applications," Journal of Economic Theory, Elsevier, vol. 145(4), pages 1319-1324, July.
  5. Darrell Duffie & Semyon Malamud & Gustavo Manso, 2011. "Information Percolation in Segmented Markets," NBER Working Papers 17295, National Bureau of Economic Research, Inc.
  6. Manela, Asaf, 2014. "The value of diffusing information," Journal of Financial Economics, Elsevier, vol. 111(1), pages 181-199.

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