Le 16/12/2009 14:39, scott nous fit lire :
>> finding 100$, you do not know if it is the low or high amount.
> 
> Indeed, it's a 50/50 chance whether you pick the high or low amount.
> 
>> The computation is NOT $50*1/2+ $200*1/2 ( = $125)
>> but either :
>>
>> $50*1/2 + $100*1/2 = $75
>> or
>> $100*1/2 + $200*1/2 = $150
>>
>> Which turn out $75*1/2 + $150*1/2 around $112.5... if that was random.
> 
> So you'd always change and take the other box?  Why even bother opening
> the 1st box, just leave it shut and take the 2nd one.  Oh but hang on,
> then when you look inside the 2nd one you might want to change back to
> the 1st...
> 
> 
For optimising my happiness' function, I will take the first box and say
good bye, not wanting to know which case I was playing.

Playing otherwise might diminish my happiness' value, and that's not
something I would risk.

That's not rational, but I'm human, I have the right to make error (as
in 'to err is human') and to seek happiness rather than optimal
solution. (seeking happiness, nothing about getting it!)

P.S.: tuning the numbers, what if the amount ratio instead of 1:2 is 2:3 ?
Found 300€ under your choice, swap for other ? (450€ or 200€)

And for 4:5 ? (found £100, £80 or £125)

and what about 1:100 ? (100, 1 or 10000)

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