Imagine a five-player poker game. Assume all the players have equal skill, so the flows across the table over the course of the game are just a random walk. “It’s just how the cards fall.”
All the players start with the same number of chips. But there’s one difference: four of the players don’t have any more assets/money to buy new chips. If they lose all their chips, they’re out.
The fifth player has unlimited assets. No matter how much or how often they lose, they can always buy more chips and stay in the game.
If the game continues indefinitely, the fifth player will always at some point end up with all of the other players’ chips, just due to the random flows across the table.
I’ll leave the implications of this to the thoughts of my gentle readers.
Image: Cassius Marcellus Coolidge, A Friend in Need, 1903. Photo via Wikimedia Commons.
Isn't that only true until the casino goes bankrupt? And in any infinitely long game, every casino goes bankrupt.
Maybe the Wild West version of this analogy is in a poker game where you're the only one with the gun, (win or lose) you'll get all the money, unless you decide to let the suckers have an even break.
https://ergodicityeconomics.com/2023/08/29/for-to-withhold-is-to-perish/