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Eliciting information from a large population

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  • Kawamura, Kohei

Abstract

This paper studies information transmission in social surveys where a welfare maximizing decision maker communicates with a random sample of individuals from a large population who have heterogeneous preferences. The population distribution of preferences is unknown and has to be estimated, based on answers from the respondents. The decision maker cannot identify the true distribution of preferences even if the sample size becomes arbitrarily large, since the respondents have incentive to “exaggerate” their preferences especially as the sample size becomes larger and each respondent has weaker influence on the decision. The quality of communication with each respondent may improve as the sample size becomes smaller, and thus we identify the trade-off between the quality and quantity of communication. We show that the decision maker may prefer to sample a smaller number of individuals when the prior is weaker.

Suggested Citation

  • Kawamura, Kohei, 2013. "Eliciting information from a large population," Journal of Public Economics, Elsevier, vol. 103(C), pages 44-54.
  • Handle: RePEc:eee:pubeco:v:103:y:2013:i:c:p:44-54
    DOI: 10.1016/j.jpubeco.2013.04.002
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    Cited by:

    1. Mark Thordal-Le Quement, 2016. "The (Human) Sampler's Curses," American Economic Journal: Microeconomics, American Economic Association, vol. 8(4), pages 115-148, November.
    2. Chiba Saori, 2020. "Vagueness of Language: Indeterminacy under Two-Dimensional State-Uncertainty," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 20(1), pages 1-21, January.
    3. Bergemann, Dirk & Ottaviani, Marco, 2021. "Information Markets and Nonmarkets," CEPR Discussion Papers 16459, C.E.P.R. Discussion Papers.
    4. Junichiro Ishida & Takashi Shimizu, 2009. "Cheap Talk with an Informed Receiver," ISER Discussion Paper 0746r, Institute of Social and Economic Research, Osaka University, revised Jun 2015.
    5. Junichiro Ishida & Takashi Shimizu, 2019. "Cheap talk when the receiver has uncertain information sources," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 68(2), pages 303-334, September.
    6. Blume, Andreas & Lai, Ernest K. & Lim, Wooyoung, 2019. "Eliciting private information with noise: The case of randomized response," Games and Economic Behavior, Elsevier, vol. 113(C), pages 356-380.

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