(thread)
But first, let's explain ergodicity.
When a context is non-ergodic, average expected outcome is meaningless.
Eg if you play Russian Roulette 60 times, you do not win 50 times. You die
Non-ergodic: if the average outcome within the group over time is not the same as the average outcome of any individual over time
And 👇
Gameover might mean death, or might mean "resetting" all your assets, foregoing all benefits incurred so far, and all benefits which you positioned yourself to collect (eg investments)
- Volatility in an investment does not matter if returns over time are guaranteed to grow at an attractive rate,
- UNLESS said volatility has a potential to make you go bankrupt, foregoing the long-term gains.
For example, the same volatile investment is:
- non ergodic if I invest 100% of my wealth
- almost ergodic if I make 100 uncorrelated investments with 1% of my wealth.
For example, the life of a single wild animal is non-ergodic (he might die in a fight) but the life of a species (the higher layer) is more ergodic.
(continues)
and why the fractal has a very long life expectancy (most things are ergodic for it).
(BTW, the Kelly Criterion is a way to bring as much ergodicity as possible in the non-ergordic).
So that if one goes bust, or one's market goes bust, or one's boss goes bust, or one's product goes bust, etc., the others can survive.
(⭐️4.2 stars on Goodreads)
(because the non-ergodicity transfers to one of the components of the fractal entity - assuming absence of systemic risk)