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Common Knowledge of a Multivariate Aggregate Statistic

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  • Nielsen, Lars Tyge

Abstract

If a stochastically monotone function of asymmetrically informed individuals' expectations of a random vector is common knowledge up to some observation error, then all the individuals must agree on their expectations. This result generalizes the 1986 theorem of R. D. McKelvey and T. Page from random variables to random vectors. It holds for general information structures given by sigma-algebras. Copyright 1995 by Economics Department of the University of Pennsylvania and the Osaka University Institute of Social and Economic Research Association.

Suggested Citation

  • Nielsen, Lars Tyge, 1995. "Common Knowledge of a Multivariate Aggregate Statistic," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 36(1), pages 207-216, February.
    • Handle: RePEc:ier:iecrev:v:36:y:1995:i:1:p:207-16
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    Cited by:

    1. Ménager, Lucie, 2008. "Consensus and common knowledge of an aggregate of decisions," Games and Economic Behavior, Elsevier, vol. 62(2), pages 722-731, March.
    2. Robin Hanson, 1998. "Consensus By Identifying Extremists," Theory and Decision, Springer, vol. 44(3), pages 293-301, June.
    3. Bond, Philip & Eraslan, Hülya, 2010. "Information-based trade," Journal of Economic Theory, Elsevier, vol. 145(5), pages 1675-1703, September.
    4. Lucie Ménager, 2004. "A note on consensus and common knowledge of an aggregate of decisions," Cahiers de la Maison des Sciences Economiques v04006, Université Panthéon-Sorbonne (Paris 1).
    5. Tsakas, Elias, 2007. "Aggregate information, common knowledge, and agreeing not to bet," Working Papers in Economics 254, University of Gothenburg, Department of Economics.
    6. Nielsen, Lars Tyge, 1996. "Common knowledge: The case of linear regression," Journal of Mathematical Economics, Elsevier, vol. 26(3), pages 285-304.

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