Calculate the chance of breaking the casino, for any finite maximum payout. It’s always non-zero, there are no infinities.
This is not anyone’s true rejection, since no one would plan to play until they lost everything even if the casino had infinite wealth.
It’s not a true offer, so it’s hard to predict whether a rejection is true. I think I’d be willing to play for any amount they’d let me.
But that doesn’t matter. No matter where you stop, the “paradox” doesn’t happen for finite amounts.
Calculate the chance of breaking the casino, for any finite maximum payout. It’s always non-zero, there are no infinities.
This is not anyone’s true rejection, since no one would plan to play until they lost everything even if the casino had infinite wealth.
It’s not a true offer, so it’s hard to predict whether a rejection is true. I think I’d be willing to play for any amount they’d let me.
But that doesn’t matter. No matter where you stop, the “paradox” doesn’t happen for finite amounts.