Earlier quoted context omitted.
Have to say, Pluribus beating top humans for 10,000 hands isn't the same thing as being super human. It's just too small of a sample to make that claim. Further, thousands of the hands that Pluribus played against the human pros are available online in an easy to parse format [0]. I've analyzed them. Pluribus has multiple obvious deficiencies in its play that I can describe in detail. It seems like it's very difficul…
Normally 10,000 hands would be too small a sample size but we used variance-reduction techniques to reduce the luck factor. Think things like all-in EV but much more powerful. It's described in the paper.
How A.I. Conquered Poker
101–110 of 188 posts
Re: How A.I. Conquered Poker
#102But it hasn't conquered it! I kept searching the article for some new recent breakthrough that I've missed but it's not there. Yes, solvers like Pio have been around for years and limit holdem has been essentially solved for a while but nobody plays limit holdem anyway. The two most popular games (no-limit Texas holdem and pot-limit Omaha) are still unsolved.
Hasn't Facebook's Pluribus come pretty close to "solving" no-limit holdem? I don't know a lot about poker so I can't really assess their claim's validity.
Re: How A.I. Conquered Poker
#103But it hasn't conquered it! I kept searching the article for some new recent breakthrough that I've missed but it's not there. Yes, solvers like Pio have been around for years and limit holdem has been essentially solved for a while but nobody plays limit holdem anyway. The two most popular games (no-limit Texas holdem and pot-limit Omaha) are still unsolved.
No limit holdem has been essentially solved. Pluribus & co not withstanding, you just haven't heard of it because the people who have solved it are busy printing money in online poker (yes, I know they try to detect bots, and no, they can't detect them all). With stakes this high, academic progress lags the 'actual' state-of-the-art by years.
Re: How A.I. Conquered Poker
#104(Former pro and high stakes player, occasional solver developer) This is actually one of the best poker articles I've ever seen in generalist media. Not too clickbaity, reasonable high level overview of game theory, a (very accurate IMO) quote from old pro Erik Seidel about the state of the game just 15 years ago, a discussion on variance vs. EV and results, and most importantly, an emphasis on math, randomization te…
So how much have you won and lost in total? I don’t have any knowledge of poker, so I don’t know how to ballpark this. And the impersonal questions are boring after seven lifetimes, so I thought I’d ask. It would be interesting to see a GitHub style graph of poker activity, with won and lost corresponding to added lines and removed lines.
My highest and lowest sessions were in the 5 figure range (cash game player, not tournament), so I was never up in the really nosebleed stakes, but I was high enough up that a lot of the nosebleed players would play in my games. Some of them have an impressive ability to play their A-game even when switching between games an order of magnitude in stakes apart. Some of them, uh, don't. People you've seen on TV are overwhelmingly more likely to be in the second category and were generally welcome in my games, at least for monetary reasons. (There was an old screenshot of Phil Hellmuth sitting at a full 9- or 10-handed 300/600 limit hold'em table online. He's out of chips and every other player is sitting out, waiting for him to reload. I have a pretty similar live story about him.)
Re: How A.I. Conquered Poker
#105Earlier quoted context omitted.
No limit holdem has been essentially solved. Pluribus & co not withstanding, you just haven't heard of it because the people who have solved it are busy printing money in online poker (yes, I know they try to detect bots, and no, they can't detect them all). With stakes this high, academic progress lags the 'actual' state-of-the-art by years.
IIRC it's "solved" for heads up but not really multiway like 3+ to the flop. I believe in a recent Bart Hanson Youtube he points out that mutltiway is not solved.
> Machines have raised the stakes once again. A superhuman poker-playing bot called Pluribus has beaten top human professionals at six-player no-limit Texas hold’em poker, the most popular variant of the game. It is the first time that an artificial-intelligence (AI) program has beaten elite human players at a game with more than two players
Re: How A.I. Conquered Poker
#106I am the solver programmer mentioned in the article. I think it came out pretty decently. Maybe not all the details are right (I was late answering fact checking email) but I think it's a decent read and the author has done a good job!
2016 you said "It's a very small niche and getting less popular but we are still doing very well." Did this turn out to be true or has PioSOLVER become more popular again?
Re: How A.I. Conquered Poker
#107I am the solver programmer mentioned in the article. I think it came out pretty decently. Maybe not all the details are right (I was late answering fact checking email) but I think it's a decent read and the author has done a good job!
How did you end up working on this? It’s an interesting history.
Re: How A.I. Conquered Poker
#108Re: How A.I. Conquered Poker
#109Earlier quoted context omitted.
The solver was purely based on our (mine and my partner's) ideas. We tried reading some papers to find ideas to improve our solver but we had found that they are not very helpful - written in opaque language, using wrong tree representation and not focusing on practical implementation aspect. Maybe things changed since then but I haven't found anything useful at all in published papers about poker with the exception…
Interesting! We have very recently wrote a paper on the various tree representations [1]. Maybe it is the same distinction you found on your own? I judge this based on the screenshots on your website. Public state trees are amenable to nice factorization over the hands, and indeed most implementations use it, but formally they write they use the history tree notation. [1] https://arxiv.org/abs/2112.10890
Re: How A.I. Conquered Poker
#110Earlier quoted context omitted.
> The natural portion of your hands to bluff with is the absolute worst ones - you don't want to bluff with your middling hands because you have some small chance of just winning a showdown when it checks around. I don't understand this logic, can you elaborate a bit more? What do you suggest to do with middling hands then?
One very simplified model is that on the river, all your hands fall into certain buckets, from strongest to weakest. (I'm ignoring a ton of nuance here and there are actually many more buckets in a real game) - Worth betting, because you have the best hand - Worth calling, because your hand is good enough to beat a bluff (and maybe some value bets as well). - Intending to fold, because your hand is bad, but maybe it'…