gwern comments on How much to spend on a high-variance option? - Less Wrong Discussion
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If you invoke infinities or indefinite sets of bets, it shouldn't surprise you that regular results might not apply: if you decide to invest in a bet of n at 99% odds of doubling, wouldn't it be even better to invest n at 99% odds of tripling? Or even better than that, invest n at 99.9% odds of tripling? Or no, invest n+1 at 99.9% odds of tripling! I'm not sure why you'd expect anything useful from a KC or a variant with such arbitrary inputs.
It does?
You are right.
It does seem arbitrary because for sufficiently high intervals for p and b the integral will exceed 1, that is allocation of all my cash and I do not know how to interpret this result.