Basketball & Ergodicity
This game will show you why redistribution is often a good idea even when you're better than the people you redistribute with.
Imagine playing the following game. You start with $100. Every round, you shoot a basketball; if you make the shot, you double your money, and if you fail, you halve it. Your chances of making the shot are 60%.
Your friend is also playing this game. However, he is worse than you, and only has a 50% chance of making the shot.
You have the option, after each round, to poll your money together with your friend and split it evenly. Would you take this option?
Let's find out what's the best strategy!
Play 10 rounds to see what happens over time.
Shots
Round | Your Shot | Their Shot |
---|
Without redistribution
Round | Your Money | His Money |
---|
With redistribution
Round | Your Money | His Money |
---|
Note: the results are randomly generated using the parameters above.
This game is part of my book Ergodicity.
Ergodicity
How irreversible outcomes affect long-term performance in work, investing, relationships, sport, and beyond