$2, because you can just say "Monday" each time you're asked. It has nothing to do with probabilities. It's a good analogue of the MWI problem; when everything is deterministic and everything happens there's no objective measure.

Brent

On 9/6/2015 4:38 PM, Jason Resch wrote:
You may not be certain, but you know what the possibilities are, and I would argue, what the probabilites are as well.

What would you consider to be the minimum fair pay out X if you had to pay $1 on each of the days, and would be awarded $X if you guessed correctly which day it was?

Jason

On Sun, Sep 6, 2015 at 4:17 PM, John Mikes <[email protected] <mailto:[email protected]>> wrote:

    Q #3 is irrelevant, after Q #2.
    The answer is "I DUNNO" unless you detect indications for a better
    one.
    JM

    On Sun, Sep 6, 2015 at 4:27 PM, Jason Resch <[email protected]
    <mailto:[email protected]>> wrote:

        You will undergo the following experiment:

        1. During the weekend you will be put to sleep with a drug and
        not be woken up until Monday.
        2. On monday you will be woken up and asked what day it is.
        *How do you answer?*
        3. You are then given a drug to put you to sleep again and
        also given a drug that induces amnesia of being woken up at
        all on Monday.
        4. You are woken up on Tuesday, and asked what day it is. *How
        do you answer?*

        *If asked to ascribe a probability to it being Monday when you
        are woken up, how do you answer on either of the days you are
        awoken?*

        (I am particularly interested in John Clark's answer to the
        final question)

        Jason

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