On convexity:
Whats better?
-A 3 to 1 reward to risk trade
-A 2.9 to 1 reward to risk trade but that has a bonus payoff of 10-1+ a small percentage of the time? And by 10-1+, I'm also including 50-1, 100-1, 600-1, 5000-1 or more payoffs that will show up when you get extremely lucky.
The latter has a lot more of what I call 'convexity exposure' (essentially the chance that you will get lucky and get a monster payoff, even if infrequently). With the latter, sometimes you will become Mark Zuckerberg, Jeff Bezos (or someone that is 10x richer than the 2nd richest man in the world, when you absurdly lucky) or at the very least, the richest man in your city. You don't know when it will happen, you have no idea why it will happen, but you know that sometimes luck will be with you and you will make huge money
I'm not mathematician but if you run a monte carlo of these 2 "systems" and chart the median or average equity curve, the second one will graph a lot more convex then the first, I mean, a lot more. Especially if you give it time. They both will be convex but one will be more than the other