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Common Knowledge of Summary Statistics

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Consider a group of people who are asked to offer their opinions on some issue. "Business confidence" surveys are an example: groups of businessmen are often asked for their predictions of economic indicators such as growth or inflation rates. Each member of the group makes a prediction based on his or her private information, and the average prediction is then publicly announced. If the members of the group are then allowed to revise their opinions, based on whatever information they glean from the public announcement, is there any tendency for the opinions in the group to converge on a common, consensus opinion? In this note we show that under certain conditions the answer to this question is yes.

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  • Adam Brandenburger & John Geanakoplos, 1988. "Common Knowledge of Summary Statistics," Cowles Foundation Discussion Papers 864, Cowles Foundation for Research in Economics, Yale University.
    • Handle: RePEc:cwl:cwldpp:864
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    1. McKelvey, Richard D & Page, Talbot, 1986. "Common Knowledge, Consensus, and Aggregate Information," Econometrica, Econometric Society, vol. 54(1), pages 109-127, January.
    2. Cave, Jonathan A. K., 1983. "Learning to agree," Economics Letters, Elsevier, vol. 12(2), pages 147-152.
    3. Bacharach, Michael, 1985. "Some extensions of a claim of Aumann in an axiomatic model of knowledge," Journal of Economic Theory, Elsevier, vol. 37(1), pages 167-190, October.
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