Econometrica: Jan 2014, Volume 82, Issue 1

Comment on “The Law of Large Demand for Information”
p. 415-423

Yaron Azrieli

Say that one information structure is for another if, for every large enough , an ‐sample from the first is Blackwell sufficient (Blackwell (1951, 1954)) for an ‐sample from the second. This note shows that eventual Blackwell sufficiency lies 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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