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Logical Gaps in the Approximate Solutions of the Social Learning Game and an Exact Solution

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  • Wenjie Dai
  • Xin Wang
  • Zengru Di
  • Jinshan Wu

Abstract

After the social learning models were proposed, finding solutions to the games becomes a well-defined mathematical question. However, almost all papers on the games and their applications are based on solutions built either upon an ad-hoc argument or a twisted Bayesian analysis of the games. Here, we present logical gaps in those solutions and offer an exact solution of our own. We also introduce a minor extension to the original game so that not only logical differences but also differences in action outcomes among those solutions become visible.

Suggested Citation

  • Wenjie Dai & Xin Wang & Zengru Di & Jinshan Wu, 2014. "Logical Gaps in the Approximate Solutions of the Social Learning Game and an Exact Solution," PLOS ONE, Public Library of Science, vol. 9(12), pages 1-18, December.
    • Handle: RePEc:plo:pone00:0115706
    DOI: 10.1371/journal.pone.0115706
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    References listed on IDEAS

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    1. Marco Ottaviani & Giuseppe Moscarini & Lones Smith, 1998. "Social learning in a changing world," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 11(3), pages 657-665.
    2. Daniel B. Neill, 2005. "Cascade Effects in Heterogeneous Populations," Rationality and Society, , vol. 17(2), pages 191-241, May.
    3. Bikhchandani, Sushil & Hirshleifer, David & Welch, Ivo, 1992. "A Theory of Fads, Fashion, Custom, and Cultural Change in Informational Cascades," Journal of Political Economy, University of Chicago Press, vol. 100(5), pages 992-1026, October.
    4. Guarino, Antonio & Harmgart, Heike & Huck, Steffen, 2011. "Aggregate information cascades," Games and Economic Behavior, Elsevier, vol. 73(1), pages 167-185, September.
    5. Abhijit V. Banerjee, 1992. "A Simple Model of Herd Behavior," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 107(3), pages 797-817.
    6. Callander, Steven & Hörner, Johannes, 2009. "The wisdom of the minority," Journal of Economic Theory, Elsevier, vol. 144(4), pages 1421-1439.2, July.
    7. Sushil Bikhchandani & David Hirshleifer & Ivo Welch, 1998. "Learning from the Behavior of Others: Conformity, Fads, and Informational Cascades," Journal of Economic Perspectives, American Economic Association, vol. 12(3), pages 151-170, Summer.
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