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Depth of knowledge and the effect of higher order uncertainty

Author

Listed:
  • Hyun Song Shin

    (Department of Economics, University of Southampton, Southampton, ENGLAND)

  • Andrew Postlewaite

    (Department of Economics, University of Pennsylvania, Philadelphia, PA 19104, USA)

  • Stephen Morris

    (Department of Economics, University of Pennsylvania, Philadelphia, PA 19104, USA)

Abstract

A number of recent papers have highlighted the importance of uncertainty about others' information in models of asymmetric information. We introduce a notion that reflects the depth of knowledge in an information system. We show how the depth of knowledge can be used to bound the effect of higher order uncertainty in certain problems. We further provide bounds on the size of bubbles in finite horizon rational expectations models where the bounds depend on the depth of knowledge.

Suggested Citation

  • Hyun Song Shin & Andrew Postlewaite & Stephen Morris, 1995. "Depth of knowledge and the effect of higher order uncertainty," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 6(3), pages 453-467.
  • Handle: RePEc:spr:joecth:v:6:y:1995:i:3:p:453-467
    Note: Received: March 23, 1994; revised version August 24, 1994
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    Cited by:

    1. Antonio Cabrales & Rosemarie Nagel & Roc Armenter, 2007. "Equilibrium selection through incomplete information in coordination games: an experimental study," Experimental Economics, Springer;Economic Science Association, vol. 10(3), pages 221-234, September.
    2. Crawford, VP, 2014. "Boundedly rational versus optimization-based models of strategic thinking and learning in games," University of California at San Diego, Economics Working Paper Series qt04h694rz, Department of Economics, UC San Diego.
    3. Amil Dasgupta & Andrea Prat, 2005. "Reputation and Asset Prices: A Theory of Information Cascades and Systematic Mispricing," Levine's Bibliography 784828000000000368, UCLA Department of Economics.
    4. Brunnermeier, Markus K. & Oehmke, Martin, 2013. "Bubbles, Financial Crises, and Systemic Risk," Handbook of the Economics of Finance, in: G.M. Constantinides & M. Harris & R. M. Stulz (ed.), Handbook of the Economics of Finance, volume 2, chapter 0, pages 1221-1288, Elsevier.
    5. Jehiel, Philippe & Koessler, Frédéric, 2008. "Revisiting games of incomplete information with analogy-based expectations," Games and Economic Behavior, Elsevier, vol. 62(2), pages 533-557, March.
    6. John Conlon, 2005. "Should Central Banks Burst Bubbles?," Game Theory and Information 0508007, University Library of Munich, Germany.
    7. József Sákovics, 2001. "Games of Incomplete Information Without Common Knowledge Priors," Theory and Decision, Springer, vol. 50(4), pages 347-366, June.
    8. John R. Conlon, 2015. "Should Central Banks Burst Bubbles? Some Microeconomic Issues," Economic Journal, Royal Economic Society, vol. 125(582), pages 141-161, February.
    9. Angeletos, G.-M. & Lian, C., 2016. "Incomplete Information in Macroeconomics," Handbook of Macroeconomics, in: J. B. Taylor & Harald Uhlig (ed.), Handbook of Macroeconomics, edition 1, volume 2, chapter 0, pages 1065-1240, Elsevier.
    10. Franklin Allen & Stephen Morris & Hyun Song Shin, 2003. "Beauty Contests, Bubbles and Iterated Expectations in Asset Markets," NajEcon Working Paper Reviews 391749000000000553, www.najecon.org.
    11. Rafiqul Bhuyan, 2002. "Information, Alternative Markets, and Security Price Processes: A Survey of Literature," Finance 0211002, University Library of Munich, Germany.
    12. George-Marios Angeletos & Chen Lian, 2016. "Incomplete Information in Macroeconomics: Accommodating Frictions in Coordination," NBER Working Papers 22297, National Bureau of Economic Research, Inc.
    13. Erik Ernesto Vazquez, 2021. "Effect of an e-retailer’s product category and social media platform selection on perceived quality of e-retail products," Electronic Markets, Springer;IIM University of St. Gallen, vol. 31(1), pages 139-157, March.
    14. Asako, Yasushi & Funaki, Yukihiko & Ueda, Kozo & Uto, Nobuyuki, 2020. "(A)symmetric information bubbles: Experimental evidence," Journal of Economic Dynamics and Control, Elsevier, vol. 110(C).
    15. Doncho Donev, 2017. "Price bubbles and financial markets efficiency," Economic Thought journal, Bulgarian Academy of Sciences - Economic Research Institute, issue 1, pages 115-131.
    16. Koessler, Frederic, 2003. "Persuasion games with higher-order uncertainty," Journal of Economic Theory, Elsevier, vol. 110(2), pages 393-399, June.
    17. Moinas, Sophie & Pouget, Sébastien, 2009. "The Bubble Game : An experimental Study of Speculation (An earlier version of this paper was circulated under the title "The Rational and Irrational Bubbles : an Experiment")," IDEI Working Papers 560, Institut d'Économie Industrielle (IDEI), Toulouse, revised Jan 2012.
    18. Liu, Feng & Conlon, John R., 2018. "The simplest rational greater-fool bubble model," Journal of Economic Theory, Elsevier, vol. 175(C), pages 38-57.
    19. Franklin Allen & Stephen Morris & Hyun Song Shin, 2003. "Beauty Contests, Bubbles and Iterated Expectations in Asset Markets Capital Adequacy Regulation: In Search of a Rationale," Center for Financial Institutions Working Papers 03-06, Wharton School Center for Financial Institutions, University of Pennsylvania.

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