Re: ?Value of information without utilities?

Judea Pearl (judea@cs.ucla.edu)
Mon, 24 May 1999 13:56:19 -0700 (PDT)

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.

Kathy Laskey

Kathy
The pertinent result here is a 1954 theorem by
Blackwell and Girschick (?), saying:
Information source A is consistently more valuable
than B, across all utilities and prior probabilisties,
if and only if B is a stochastic mixture of A.
(i.e., there is a stochastic matrix M, such that B = MA)
=======Judea