True randomness doesn't drive better results for humans, due to some intrinsic humane qualities, but rather eliminates the advantage of large volume data access and processing of AI. Basically true randomness levels the playing field. Backgammon is a perfect example.

You want a game where searching large amounts of data, computing moves and calculating probabilities fast doesn't help.

Maybe some randomness will help, but might not be enough.

My ideea is that bots can't win in the real world economy, no fund driven solely by algorithms can win more than funds driven by humans.

So if we can find a game modeled like the economy, where nothing is random but many things are uncertain, then it might be harder for the software to win.

I would imagine in many games randomness (e.g. through throwing dice, or pulling cards from a randomized pack) add noise, but the underlying strategy (including processing data, calculating probabilities etc.) still help. In such a game even though an AI might be superior, the randomness might mean that occasionally the human wins. Or for an extreme example, if nothing you do in the game really matters, it's all just down to random chance, then the AI:human win rate should approach 50%. But such a game would probably not be particularly enjoying to play.

But yes, I think you're right that you'd need a game where crunching a lot of numbers really fast doesn't give you an advantage. For instance, if the state space of the game is so big that number crunching is useless, and other approaches like AI style pattern matching (used IIRC by Alpha-Go?) don't work either.

Though ultimately, what is the uniquely human trait that would allow a human to beat an AI? Can you make a game that depends on that? Is there even such a thing?

> if nothing you do in the game really matters, it's all just down to random chance... But such a game would probably not be particularly enjoying to play.

I guess all the slot machine players tend to differ in opinion there :)

Sure, slot machine operators adjust winning chances so players keep on playing, but to a player, it's not influenced by anything they do, other than "just one more time and I'll win".

TBH, "real world economy" does allow humans to rewrite the rules, and they've done so: issuing more bonds, deflating the currency, printing more money, bailing out broke banks, hiding facts and selling before downturn goes public, pure and simple fraud...

I’m not saying a human would be better than an AI. Just saying it would be a more equal playing field, since neither would have a significant advantage.

I think this depends on whether the human has a chance in a particular run (yes) or on average of many runs (probably no because the AI will calculate the probabilities better).

But in the extreme case of a random game (like rolling the highest number on a die) they are equal (obviously).

That's disanalogous to board games. We're comparing board games with uncertainty to board games without uncertainty. In either of these categories, the thing that makes AI competent is unlimited training data due to self-play.