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A bit of a definitional issue -- the interpretation is mostly wrong; the solution is the correct solution to *a* question but not to *the right question to be asking*
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It's trying to maximize EV[log(money)] instead of EV[money]. This is probably wrong in and of itself as an assumption to make. But if you *do* want to make that assumption, then e.g. you have to consider all of your assets that don't have anything to do with the pool.
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The Kelly criterion does not assume that you prefer to maximize log(wealth). It assumes that you would prefer having more wealth to having less wealth, and it guides you to the strategy where you have more wealth than any other strategy in 99.99...% of worlds (in the long run)
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