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please define "Kelly optimizes for total wealth" I disagree for many reasonable definitions of it. For some it's true!
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Right. So each bet can be maximized using Kelly and betting higher than this value leads risk of ruin to converge to 1 in an infinite series of bets. Is this a false statement?
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1) I don't care about an infinite series of bets, we only have finite series of bets 2) do you not care that upside and expected wealth converge to infinity quickly in those cases? Are you approximating X*Y where x --> inf and y --> 0 as 0?
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Hm, yes, I don't care if my expected wealth converges to infinity in those cases, I'm only interested in finding appropriate bet sizes to maximize my EV per event while avoiding ruin. If you tell me there's a better equation for that than Kelly, I'm all ears.
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E.g. $1k bankroll, 1:1 payout, 60% of winning each one. Kelly says bet 20%. But if you bet 20.5%, you'll: a) have higher EV b) almost certainly not end in ruin
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