Re: Hypothetical Heads Up Gambling Situation
I'm liking jay's logic...
I know nicho's "twist" (I am his roommate) and I'm really excited to see how your answers change... But he has forbade me from twisting it myself... so for now I'm patient.
I like to work backwards myself...
on the 10th hand- I'll play 100% (OBV)
on the 9th- top 50%
on the 8th- top 1/3
etc... this is different than jay's... i say the first hand should be top 10%... because before you are dealt the first hand, in 10 hands you can expect 1 hand in the top 10%...
But, I guess once you are delivered the first hand you must choose between it and 9 more chances (which you are likely to get a top 1/9 hand)... so I guess taking a 10.5% hand is plus EV after the first hand is dealt... kinda tricky
so i change my answer to 1/9 (1st) 1/8 (2nd) etc... down to 1/2 (8th)... but what do you do on the 9th hand? folding ensures a "coinflip" on hand 10... so i guess you push with anything better than average... top 1/2...
good question...
it is still -EV to play this game against the luck-box
~rob
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