Have game theorists plus computers cracked the game of poker?

A new computer algorithm can play one of the most popular variants of poker essentially perfectly. Its creators say that it is virtually “incapable of losing against any opponent in a fair game”.

…That means that this particular variant of poker, called heads-up limit hold’em (HULHE), can be considered solved. The algorithm is described in a paper in Science1.

The strategy the authors have computed is so close to perfect “as to render pointless further work on this game”, says Eric Jackson, a computer-poker researcher based in Menlo Park, California.

“I think that it will come as a surprise to experts that a game this big has been solved this soon,” Jackson adds.

…Bowling and colleagues designed their algorithm so that it would learn from experience, getting to its champion-level skills required playing more than 1,500 games. At the beginning, it made its decisions randomly, but then it updated itself by attaching a ‘regret’ value to each decision, depending on how poorly it fared.

This procedure, known as counterfactual regret minimization, has been widely adopted in the Annual Computer Poker Competition, which has run since 2006. But Bowling and colleagues have improved it by allowing the algorithm to re-evaluate decisions considered to be poor in earlier training rounds.

The other crucial innovation was the handling of the vast amounts of information that need to be stored to develop and use the strategy, which is of the order of 262 terabytes. This volume of data demands disk storage, which is slow to access. The researchers figured out a data-compression method that reduces the volume to a more manageable 11 terabytes and which adds only 5% to the computation time from the use of disk storage.

“I think the counterfactual regret algorithm is the major advance,” says computer scientist Jonathan Shapiro at the University of Manchester, UK. “But they have done several other very clever things to make this problem computationally feasible.”

The computer does engage in a certain amount of bluffing, full story here, via Vaughan Bell.


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