the funny thing is that knowing this will not necessarily prevent the person from overbetting for psychological reasons as shown in Ed Thorpe's experiment.
Give him the benefit of the doubt, its a lesson we all have to learn at some stage.
the funny thing is that knowing this will not necessarily prevent the person from overbetting for psychological reasons as shown in Ed Thorpe's experiment.
I understand, for many reasons, a trader may not want to maximize their returns. For example, they might perceive that the risk of ruin is too high, or not like the drawdown, or not be comfortable with the bet size.
You may want to revisit Kelly again, optimizing return may put you too close to the risk of ruin.Perhaps I can be slightly clearer in my comment.
Betting on a coin with a 60% probability of coming up heads, you should bet 20% of your bank IF you want to maximize returns. This isn’t my analysis, this is Kelly.
I understand, for many reasons, a trader may not want to maximize their returns. For example, they might perceive that the risk of ruin is too high, or not like the drawdown, or not be comfortable with the bet size.
Bet sizing is a theme that’s been interesting to me for many years. Largely because I haven’t got a great answer. How can it be that some traders are very comfortable taking huge bets? While for others, that comfort is only achieved when the bet size is very small? I fall into the latter group, and in much of my trading don’t risk more than 0.5%. Do I subconsciously know that my entries are only marginal at 50.1%?
So how do traders taking a big bet get comfortable? How did Soros know how much risk he needed with his British Pound trade? Or how did Buffett know his bet size on Coke? I know there are many factors in play, but they knew to be aggressive. And they knew it was not a standard 2% bet.
Sure, a trader can always bet a maximum 2% and get by (probably very well, if their signals are at 60% probability!). But 2% is not the right risk for this probability of bet, if you want to maximize your capital growth, and Soros and Buffet are not ‘getting by’.
No I don't. But as a mom and pop small trader, this is my understanding:Do you have a better approach than Kelly? I would be very interested to hear.
It’s a nice problem to have! Being faced with a 60% probability bet and not knowing how big to get. Most of the time I am faced with marginal bets and use small sizing as a default. Even with my ‘compelling’ trades I don’t feel like increasing the size by much. That tells me my confidence is still low.
I have a good mate who is a professional sports gambler and says many of his friends (and rivals) use some sort of fractional Kelly. He uses half Kelly as a starting point. I am more inclined to start with quarter Kelly. I have no analysis/testing to back this up, but half Kelly would ‘seem’ to reduce the risk of ruin a lot, while quarter Kelly ‘feels’ like its erring on the side of caution. Again, no hard figures here, but at quarter Kelly its somewhat exploiting the great rare opportunity that’s being presented, but still allows me to be comfortable.
Size came directly from calculating your win probability and win expectancy. If you don't change your methodology, then over time you should be able to get your average probability of win, expectancy with some consistency. But anytime you change/adjust your method, your Kelly will change.Thanks IronChef. I can‘t say I disagree with any of that.
It still seems to me that bet size is the much smaller part of the problem; the larger part being how accurately you can estimate the probability. If you can’t/don’t get near the right number, then the default answer is to err on the side of caution, quarter Kelly or less. But what if you can get to a pretty reliable number?
For example, what does Ren Tech use? Surely with their large number of trades (not to mention their servers, pipes, data and PhDs) they must have a pretty good idea on at least some of their trading systems. I wonder how close they get to Kelly or (insert unspecified ‘better approach’ here) on the funds they allocate to these systems. My guess would be that they get close. I have nothing to back that up, but if I assume on a proven long-standing system, that their win/loss is not too far from even, and their risk/reward also not too far from near even (I know, big assumptions, I have no idea) then to explain the massive results/compounding the firm has achieved, they would probably need to be quite aggressive in bet sizing.
Thanks IronChef. I can‘t say I disagree with any of that.
It still seems to me that bet size is the much smaller part of the problem; the larger part being how accurately you can estimate the probability. If you can’t/don’t get near the right number, then the default answer is to err on the side of caution, quarter Kelly or less. But what if you can get to a pretty reliable number?
For example, what does Ren Tech use? Surely with their large number of trades (not to mention their servers, pipes, data and PhDs) they must have a pretty good idea on at least some of their trading systems. I wonder how close they get to Kelly or (insert unspecified ‘better approach’ here) on the funds they allocate to these systems. My guess would be that they get close. I have nothing to back that up, but if I assume on a proven long-standing system, that their win/loss is not too far from even, and their risk/reward also not too far from near even (I know, big assumptions, I have no idea) then to explain the massive results/compounding the firm has achieved, they would probably need to be quite aggressive in bet sizing.
%%Ouch!!![]()
In round numbers: with a 60% win-rate, over the course of 600 flips/trades, there's still a more than 75% chance of having a losing run of 6, and a more than 50% chance of having a losing run of 7, and a more than 25% chance of having a losing run of 8 or more.
Not to mention that longer "losing patches" (without all the losers being consecutive but producing the same overall financial outcome) are considerably more common than any of the equivalent figures given above.
So you might perhaps want to re-think that ...![]()

But ''bet a million Gates'' won a big bet on a UK horse race + considered that all life was gamble. Come to find out '' bet a million Gates'' did not bet a million anyway. I rechecked it =about twice as many millionaires shop[ WMT] Walmart..... as Sears, USa . NOT saying WMT is twice as good; but many stores can help;not a stock tip