Show HN: Probabilistic Tic-Tac-Toe

> Well, in any given game of Probabilistic Tic-Tac-Toe you can do everything right and still lose (or do everything wrong and win.) However, the better player always rises to the top over time.

> Bad breaks are inevitable, but good judgment is always rewarded (eventually, and given enough chances.)

This assumes that everyone is on a level playing field with only non-compounding randomness preventing the better player from winning. But as you point out, luck does compound over time:

>The parents we’re born to, societal power structures... so many past events have an invisible impact on each new action we take

This is commonly known as the rich get richer and the poor get poorer, and to economists as the Matthew Effect[1].

You could try to model this in the game by having wins skew the odds of the next game in your favor. It's harder to model in a simple two person game like this... You have to persist state for a population of players over time.

I've wanted to publish alternate rules for Monopoly, where at the start of the game players don't get the same amount of cash. Cash is instead distributed according to real statistics for "birth wealth". Alternatively, your cash at the end of a game roles over into the next game.

I'd love to discuss this with you if you are interested. We might even collaborate on a future project.

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[1]: https://en.wikipedia.org/wiki/Matthew_effect

Cool game though. I am still puzzled by how the probabilities are arrived at. Random?