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Value of Information in Social Learning

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  • Hiroto Sato
  • Konan Shimizu

Abstract

This study extends Blackwell's (1953) comparison of information to a sequential social learning model, where agents make decisions sequentially based on both private signals and the observed actions of others. In this context, we introduce a new binary relation over information structures: an information structure is more socially valuable than another if it yields higher expected payoffs for all agents, regardless of their preferences. First, we establish that this binary relation is strictly stronger than the Blackwell order. Then, we provide a necessary and sufficient condition for our binary relation and propose a simpler sufficient condition that is easier to verify.

Suggested Citation

  • Hiroto Sato & Konan Shimizu, 2025. "Value of Information in Social Learning," Papers 2503.05015, arXiv.org, revised Mar 2025.
  • Handle: RePEc:arx:papers:2503.05015
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    References listed on IDEAS

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    1. Itai Arieli & Manuel Mueller-Frank, 2021. "A General Analysis of Sequential Social Learning," Mathematics of Operations Research, INFORMS, vol. 46(4), pages 1235-1249, November.
    2. 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.
    3. 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.
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