So if we sum up all winnings and losses we get zero. Poker is also a zero-sum game (without rake, but it's not very relevant to your question) which means that each player's loss or gain of a player's EV is balanced by gains or losses of EV by other players. Does that mean we that we gain extra EV? Yes.

So alright we're applying our NE strategy, but our opponent isn't. In game theory, the Nash equilibrium, is a proposed solution of a non-cooperative game involving two or more players in which each player is assumed to know the equilibrium strategies of the other players, and no player has anything to gain by changing only their own strategy. If we were playing this for money, we would be losing, since we pay rake. No matter what strategy is used against this AI, it will win, lose and draw the exact same amount. The AI will win 1/3th of the time, it will lose 1/3th of the time and it will draw 1/3th of the time. If you have an AI that plays perfect GTO, it will randomly play rock, paper and scissors 1/3th of the time.Īnd you can immediately see how this wouldn't win against even the worst players who play rock 100% of the time as an example. I'm not sure if the same logic applies to poker, because the game is much more complicated. I also realize it's not possible for a human to play perfect GTO and I'm pretty sure there are no AI's that play perfect GTO atm, though I could be wrong there.Ĭomparing this to a rock, paper, scissors AI makes it really obvious. I'm just wondering if and how it would make money while playing unexploitable or completely balanced. So where does the EV come from? Or would this GTO AI just be dead even against any random player after an infinite amount of hands? So against someone who calls too often, it's going to lose EV when bluffing, but regain that EV when value betting?Īgainst someone who folds too often, it's going to gain EV when bluffing, but lose that EV again when value betting. When making a bet, it will have the value/bluff percentages perfectly balanced. The whole point of the AI is to play unexploitable, or perfectly balanced.

If so, from which plays or situations would this money be made? Now would this GTO AI make money playing against random people?

If matched against another perfect GTO AI they will be dead even after playing an infinite amount of hands.

It will not adjust to opponents in any way.

This GTO AI will play completely unexploitable.

So here are my assumptions when asking this question: I don't really want to get into the whole what is GTO thing and whether it's a good or a bad thing.

Can you make money in online poker