Re: Two envelopes and game theory


"Kees" <kees@xxxxxxxxx> ha scritto

>> > OP was wondering about a strategy when n is big. My
>> comment should hint
>> > that for large n all strategies almost equal. To
>> make it precise: given
>> > two strategies let X be the ammount won after n
>> step using strategy 1 and
>> > Y the ammount gained from strategy 2. Then X/Y
>> tends to 1 as n tends to
>> > infintiy.
>>
>> But when infinity is not reached and n is a *fixed*
>> big amount there could
>> be a strategy (eventually depending on n) that works
>> better that any other
>> one.
>>
>>
>
> True, but for big n the differences between the worst and the best
> strategies will be very small. It might still be interesting to find,
> given the bound, the best strategy, but of very little value.

I would like to understand how the best strategy is defined for any fixed
number of rounds.


.

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