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Comment on “The Law of Large Demand for Information”

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  • Yaron Azrieli

Abstract

Say that one information structure is eventually Blackwell sufficient for another if, for every large enough n, an n‐sample from the first is Blackwell sufficient (Blackwell (1951, 1954)) for an n‐sample from the second. This note shows that eventual Blackwell sufficiency lies strictly between (one‐shot) Blackwell sufficiency and the ordering of information structures formulated by Moscarini and Smith (2002), and thus offers a new criterion for comparing experiments. A characterization of eventual Blackwell sufficiency in terms of the one‐shot experiments remains an open question.

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  • Yaron Azrieli, 2014. "Comment on “The Law of Large Demand for Information”," Econometrica, Econometric Society, vol. 82(1), pages 415-423, January.
    • Handle: RePEc:wly:emetrp:v:82:y:2014:i:1:p:415-423
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    File URL: http://hdl.handle.net/10.3982/ECTA11127
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    Cited by:

    1. Daehyun Kim & Ichiro Obara, 2024. "Weighted Garbling," Papers 2410.21694, arXiv.org.
    2. Xiaosheng Mu & Luciano Pomatto & Philipp Strack & Omer Tamuz, 2021. "From Blackwell Dominance in Large Samples to Rényi Divergences and Back Again," Econometrica, Econometric Society, vol. 89(1), pages 475-506, January.
    3. Mira Frick & Ryota Iijima & Yuhta Ishii, 2021. "Learning Efficiency of Multi-Agent Information Structures," Cowles Foundation Discussion Papers 2299, Cowles Foundation for Research in Economics, Yale University.
    4. Cabrales, Antonio & Gossner, Olivier & Serrano, Roberto, 2017. "A normalized value for information purchases," Journal of Economic Theory, Elsevier, vol. 170(C), pages 266-288.

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