The new method is able to find better strategies and won the best paper award of nips 2017.

See Figure 1 for an example.

No-limit Texas holdem is the most popular form of poker.Consider a zero-sum game.After receiving the two cards, it is Player 1s turn to bet, who can choose to bet or to fold.Even worse, while zero-sum games can be solved efficiently, a naive approach to extensive games is polynomial in the number of pure strategies and this number grows exponentially with the size of game vedonlyöntivihjeet veikkausliiga tree.We are, noam Brown and Professor, tuomas Sandholm.Science, authors Noam Brown and Tuomas Sandholm of Carnegie Mellon University described the mammoth task odds comparison veikkaus of creating AI capable of cracking the code of a game as complex as no-limit Texas holdem.The technique involved is a new variant of counterfactual regret minimization, 1 namely the CFR method introduced in 2014 by Oskari Tammelin.This information formed the basis of the softwares moves in early rounds, when its human opponents didnt have a read on how it was going to play.Thus, is hard to say which one is the optimal.

In a game of Go, the state of the game is determined entirely by the players moves, which both players see.Imperfect information complicates the decision-making process and makes solving poker even harder.When allowing for mixed strategies (where players can choose different moves with different probabilities Nash proved that all normal form games with a finite number of actions have Nash equilibria, though these equilibria are not guaranteed to be unique or easy to find.This combined uncertainty in poker has historically been challenging for AI algorithms to deal with.Note that Player 1 cannot distinguish which node they are.The two players simultaneously choose actions a_1 in A_1, a_2 in A_2 and receive rewards r_1(a_1, a_2) and r_2(a_1, a_2) respectively.AlphaGo famously used neural networks to represent the outcome of a subtree.Correction: A previous version of this article incorrectly stated that there is a unique Nash equilibrium for any zero sum game.Im not accusing it of cheating.