OK, let me add one further variable that I think will help. Let's create a series of trades here with two variables. We're going to bet on coin flips, heads or tails but...we're adding a sizing condition. Here is where I think your "emotional trader" will affect the results. See a good disciplined trader or black jack player for that matter will size properly and his/her results should conform to some steady distribution of results over time.
The emotional whackjob player though while making random bets, he/she is also randomly varying their bet size, let's say based on whether they took their morning meds. On days where they skipped their medication, their bet size is unusually large. See, this is where the luck comes in. So there are two conditions required to get lucky here, or very lucky we'll say. One, they have to bet heads and be correct which we all agree can happen randomly. But....they also have to get lucky on their bet size. The good trader will likely have very little variance in their bet size. Sure some trades will be a little bigger when they perceive they have more edge. Some will be a little smaller. But the variance around the mean will be small.
The emotional nutjob however, will have HUGE variances in their bet size. For example if they get into an argument on ET, they might take out their anger on the market and bet 10X on the next coin flip. What if they bet heads and it is heads? They will have a huge positive outlier. This explains how people can get very lucky in life. Not only do they predict the right outcome randomly, but they also randomly chose a huge bet size that turned out to be correct. The bet sizing variable properly explains how one can get very very lucky and also how they can "blow out their account" while still having only a 50/50 odds of being right or wrong.
Again this demonstrates why you can't bet against them. Because they might get lucky not only on the coin flip, but they also might get lucky going all in on size which you would have to take the other side of and pay out.
What we can do now is get out an excel spreadsheet. Have it do two things, randomly choose heads or tails and have it randomly choose size. Sum the results and chart the outcomes. You will see a handful of outcomes that produce spectacular results and some devastating ones as well. Over time the end results will be just that, random with some really big tails.
That was pretty funny well done. Yeah, I am no longer debating on betting against the bad traders, you've made your points well, in good humor and they are at the very least solid.
Well done, I totally understand how at the very least in reality it's not really plausible to do what I was theorizing over. I am no longer trying to debate that.
EDIT: I am more speaking to people saying there's no edge in the markets or that it's always 50/50 almost no matter what, which isn't the case.
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