Two remarks on Blackwell's theorem
Ehud Lehrer and Eran Shmaya
Source: J. Appl. Probab.
Volume 45, Number 2
In a decision problem with uncertainty a decision maker receives
partial information about the actual state via an information
structure. After receiving a signal, he is allowed to withdraw and
gets zero profit. We say that one structure is better than
another when a withdrawal option exists if it may never happen
that one structure guarantees a positive profit while the other
structure guarantees only zero profit. This order between
information structures is characterized in terms that are
different from those used by Blackwell's comparison of
experiments. We also treat the case of a malevolent nature
that chooses a state in an adverse manner. It turns out that
Blackwell's classical characterization also holds in this case.
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.jap/1214950370
Digital Object Identifier: doi:10.1239/jap/1214950370
Mathematical Reviews number (MathSciNet): MR2426854
Zentralblatt MATH identifier: 1141.62004
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