it is easier and safer to have illegal school and other unpermitted things and all the noise and street blocking and all the other disruptions where regular people live than to piss off a billionaire neighbor.
1) There are currently no algorithms that can compute deterministic equilibrium strategies [0]. Therefore, mixed (randomized) strategies must be used for professional-level play or stronger.
2) In practice, strong play has been achieved with: i) online search and ii) a mechanism to ensure strategy consistency. Without ii) an adaptive opponent can learn to exploit inconsistency weaknesses in a repeated play.
3) LLMs do not have a mechanism for sampling from given probability distributions. E.g. if you ask LLM to sample a random number from 1 to 10, it will likely give you 3 or 7, as those are overrepresented in the training data.
Based on these points, it’s not technically feasible for current LLMs to play poker strongly. This is in contrast with Chess, where there is lots more of training data, there exists a deterministic optimal strategy and you do not need to ensure strategy consistency.
[0] There are deterministic approximations for subgames based on linear programming, but require to be fully loaded in memory, which is infeasible for the whole game.
Everyone knows it's not for doggie breeding, most pets are spayed or neutered.