Re: ?Value of information without utilities?

[Bob Welch]

>I find it hard to envision a notion of value of information that is not
>somehow value related.  I'd be interested in anyone who thinks he/she can.
>

FYI

I believe Professor Kenneth Arrow, in a course he gave at MIT and Stanford,
demonstrated an impossibility theorem for Shannon's information measure and
other "value less" measures of information.  Given the measure, one can find
a value function such that information content, as measures by the
"valueless"  measure,  gives incorrect decisions from the point of view of
the value function.  Sorry I don't have the reference. Perhaps it is in his
book, the Economics of Information.

Bob Welch