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The St Petersburg Paradox [1] has numerous solutions. While D. Bernoulli's solution is interesting in that it introduces the concept of Utility, it isn't the mo
by crznp 11y ago
The St Petersburg Paradox [1] has numerous solutions. While D. Bernoulli's solution is interesting in that it introduces the concept of Utility, it isn't the most satisfying to me.
The simplest solution is to recognize that a real world casino has an upper bound to what it can pay, and you can't realistically get more than that. With that upper bound, the expected payout is now finite, and actually pretty small, even for absurdly large upper bounds on the maximum payout (such as "all the money in the world").
[1] https://en.wikipedia.org/wiki/St._Petersburg_paradox https://en.wikipedia.org/wiki/St._Petersburg_paradox
- applecore 11y agoEven if you had a 100% guarantee that the casino would pay with no upper bound, it still isn't worth paying more than few dollars for a lottery ticket.
- lisper 11y ago> if you had a 100% guarantee that the casino would pay with no upper bound That's kind of like saying "If you could travel faster than the speed of light..." Paying without an upper bound is no less a violation of the laws of physics in a finite universe.