Re: Bayesian boxes and expectation value

From: Jacques M Mallah <jqm1584.domain.name.hidden>
Date: Tue, 18 May 1999 17:14:31 -0400

On Sat, 15 May 1999 GSLevy.domain.name.hidden wrote:
> In a message dated 99-05-14 15:55:53 EDT, Jacques Mallah writes:
> Ok, now you seem to think that the expected value for the other
> box is exp((log(2m)+log(m/2))/2) given that the first box contains m and
> given a 50% chance that the second box contains 2m. Ok, that's
> unconventional logic all right! Weird conclusions from unrelated
> assumptions. >>
>
> I agree the conclusion is weird. However, As Wei Dai mentioned we need to
> revise the concept of probability in the context of the MW. The logarithmic
> distribution was just an example. IN FACT THE DISTRIBUTION CAN BE ANYTHING AS
> LONG AS IT SATISFIES THE EXPECTATION VALUE = m FOR THE SECOND BOX..

        You don't seem to understand: that's NOT how to take an
expectation value. It bears little resemblance to the formula for an
expectation value, regardless of what "the distribution of m" is.

> I didn't know I had "allies" and enemies. I thought we were all friends
> striving toward truth.

        I'm not your enemy, any more than NATO is the enemy of the Serbian
people. But I am your opponent in this debate.
        Neither have you earned my friendship.

                         - - - - - - -
              Jacques Mallah (jqm1584.domain.name.hidden)
       Graduate Student / Many Worlder / Devil's Advocate
"I know what no one else knows" - 'Runaway Train', Soul Asylum
            My URL: http://pages.nyu.edu/~jqm1584/
Received on Tue May 18 1999 - 14:15:50 PDT

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