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Libratus
Libratus is an artificial intelligence computer program designed to play poker, specifically heads up no-limit Texas hold 'em. Libratus' creators intend for it to be generalisable to other, non-Poker-specific applications. It was developed at Carnegie Mellon University, Pittsburgh. Background While Libratus was written from scratch, it is the nominal successor of Claudico. Like its predecessor, its name is a Latin expression and means 'balanced'. Libratus was built with more than 15 million core hours of computation as compared to 2-3 million for Claudico. The computations were carried out on the new 'Bridges' supercomputer at the Pittsburgh Supercomputing Center. According to one of Libratus' creators, Professor Tuomas Sandholm, Libratus does not have a fixed built-in strategy, but an algorithm that computes the strategy. The technique involved is a new variant of counterfactual regret minimization, namely the CFR+ method introduced in 2014 by Oskari Tammelin. On top of CFR+, ...
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Claudico
Claudico is an artificial-intelligence computer-program designed to play no-limit Texas hold 'em heads-up. History Claudico was designed by Carnegie Mellon professor Tuomas Sandholm and his graduate students. The name means "I limp" in Latin, a reference to limping into a hand without raising—a strategy the bot employs often. Rather than have a professional poker player attempt to explain his strategy to the programming team, Sandholm had the computer attempt to devise the best strategy on its own. The task was so complicated that it required a Pittsburgh Supercomputing Center Blacklight supercomputer with 16 terabytes of RAM to complete. In explaining his motivation for designing the bot, Sandholm said, "Poker is now a benchmark for artificial intelligence research, just as chess once was. It's a game of exceeding complexity that requires a machine to make decisions based on incomplete and often misleading information, thanks to bluffing, slow play and other decoys". Origin ...
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Computer Poker Players
A computer poker player is a computer program designed to play the game of poker against human opponents or other computer opponents. It is commonly referred to as pokerbot or just simply bot. On the Internet These bots or computer programs are used often in online poker situations as either legitimate opponents for humans players or a form of cheating. Whether or not the use of bot constitutes cheating is typically defined by the poker room that hosts the actual poker games. Most (if not all) cardrooms forbid the use of bots although the level of enforcement from site operators varies considerably. Player bots The subject of player bots and computer assistance, while playing online poker, is very controversial. Player opinion is quite varied when it comes to deciding which types of computer software fall into the category unfair advantage. One of the primary factors in defining a bot is whether or not the computer program can interface with the poker client (in other words ...
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Polaris (poker Bot)
Polaris is a Texas hold 'em poker playing program developed by the computer poker research group at the University of Alberta, a project that has been under way for 16 years as of 2007. Polaris is a composite program consisting of a number of bots, including Hyperborean08, the winner of the limit equilibrium series in the 2008 Association for the Advancement of Artificial Intelligence (AAAI) Computer Poker Competition. Polaris also contains a number of other fixed strategies, and chooses between these strategies during a match. Polaris requires little computational power at match time, so it is run on an Apple MacBook Pro laptop during competitions. Polaris plays only heads-up (two player) Limit Texas hold'em. Play against professionals On July 23–24, 2007, Polaris played against poker professionals Phil Laak and Ali Eslami at the Hyatt Regency Hotel in Vancouver, B.C. The competition consisted of four duplicate matches, with 500 hands per match. In each duplicate match, the ...
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Artificial Intelligence
Artificial intelligence (AI) is intelligence—perceiving, synthesizing, and inferring information—demonstrated by machines, as opposed to intelligence displayed by animals and humans. Example tasks in which this is done include speech recognition, computer vision, translation between (natural) languages, as well as other mappings of inputs. The ''Oxford English Dictionary'' of Oxford University Press defines artificial intelligence as: the theory and development of computer systems able to perform tasks that normally require human intelligence, such as visual perception, speech recognition, decision-making, and translation between languages. AI applications include advanced web search engines (e.g., Google), recommendation systems (used by YouTube, Amazon and Netflix), understanding human speech (such as Siri and Alexa), self-driving cars (e.g., Tesla), automated decision-making and competing at the highest level in strategic game systems (such as chess and Go). ...
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Poker
Poker is a family of comparing card games in which players wager over which hand is best according to that specific game's rules. It is played worldwide, however in some places the rules may vary. While the earliest known form of the game was played with just 20 cards, today it is usually played with a standard deck, although in countries where short packs are common, it may be played with 32, 40 or 48 cards.Parlett (2008), pp. 568–570. Thus poker games vary in deck configuration, the number of cards in play, the number dealt face up or face down, and the number shared by all players, but all have rules that involve one or more rounds of betting. In most modern poker games, the first round of betting begins with one or more of the players making some form of a forced bet (the '' blind'' or ''ante''). In standard poker, each player bets according to the rank they believe their hand is worth as compared to the other players. The action then proceeds clockwise as each play ...
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Betting In Poker
In the game of poker, the play largely centers on the act of betting, and as such, a protocol has been developed to speed up play, lessen confusion, and increase security while playing. Different games are played using different types of bets, and small variations in etiquette exist between cardrooms, but for the most part the following rules and protocol are observed by the majority of poker players. Procedure Players in a poker game act in turn, in clockwise rotation (acting out of turn can negatively affect other players). When it is a player's turn to act, the first verbal declaration or action they take does NOT bind them to their choice of action; this rule allows a player to think out loud at the table without being penalized for doing so. Until the first bet is made each player in turn may "check", which is to not place a bet, or "open", which is to make the first bet. After the first bet each player may "fold", which is to drop out of the hand losing any bets they have ...
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Texas Hold 'em
Texas hold 'em (also known as Texas holdem, hold 'em, and holdem) is one of the most popular variants of the card game of poker. Two cards, known as hole cards, are dealt face down to each player, and then five Community card poker, community cards are dealt face up in three stages. The stages consist of a series of three cards ("the flop"), later an additional single card ("the turn" or "fourth street"), and a final card ("the river" or "fifth street"). Each player seeks the best List of poker hands, five card poker hand from any combination of the seven cards; the five community cards and their two hole cards. Players have Betting in poker, betting options to check, call, raise, or fold. Rounds of betting take place before the flop is dealt and after each subsequent deal. The player who has the best hand and has not folded by the end of all betting rounds wins all of the money bet for the hand, known as the pot. In certain situations, a "split-pot" or "tie" can occur when tw ...
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Latin
Latin (, or , ) is a classical language belonging to the Italic branch of the Indo-European languages. Latin was originally a dialect spoken in the lower Tiber area (then known as Latium) around present-day Rome, but through the power of the Roman Republic it became the dominant language in the Italian region and subsequently throughout the Roman Empire. Even after the fall of Western Rome, Latin remained the common language of international communication, science, scholarship and academia in Europe until well into the 18th century, when other regional vernaculars (including its own descendants, the Romance languages) supplanted it in common academic and political usage, and it eventually became a dead language in the modern linguistic definition. Latin is a highly inflected language, with three distinct genders (masculine, feminine, and neuter), six or seven noun cases (nominative, accusative, genitive, dative, ablative, and vocative), five declensions, four verb conjuga ...
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Pittsburgh Supercomputing Center
The Pittsburgh Supercomputing Center (PSC) is a high performance computing and networking center founded in 1986 and one of the original five NSF Supercomputing Centers.The Pennsylvania Center for the Book - PGH Supercomputing Center
Pabook.libraries.psu.edu. Retrieved on 2013-07-17.
PSC is a joint effort of and the in

Counterfactual Regret Minimization
Counterfactual conditionals (also ''subjunctive'' or ''X-marked'') are conditional sentences which discuss what would have been true under different circumstances, e.g. "If Peter believed in ghosts, he would be afraid to be here." Counterfactuals are contrasted with indicatives, which are generally restricted to discussing open possibilities. Counterfactuals are characterized grammatically by their use of fake tense morphology, which some languages use in combination with other kinds of morphology including aspect and mood. Counterfactuals are one of the most studied phenomena in philosophical logic, formal semantics, and philosophy of language. They were first discussed as a problem for the material conditional analysis of conditionals, which treats them all as trivially true. Starting in the 1960s, philosophers and linguists developed the now-classic possible world approach, in which a counterfactual's truth hinges on its consequent holding at certain possible worlds where ...
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Cepheus (poker Bot)
Cepheus is the first poker playing program that "essentially weakly solved" the game of heads-up limit Texas hold 'em. This was the first imperfect information game played competitively by humans to be essentially solved. It was developed by the Computer Poker Research Group (CPRG) at the University of Alberta and was introduced in January 2015 in a paper entitled "Heads-up limit hold’em poker is solved", published in ''Science'' by Michael Bowling, Neil Burch, Michael Johanson, and Oskari Tammelin. Cepheus' strategy is very close to a Nash equilibrium strategy for heads-up limit Texas hold'em, as an optimal counter-strategy to Cepheus can only win 0.000986 big blinds per game on expectation (to go from "essentially" solving the game to just "solving" the game, one has to reduce this expected loss to precisely 0 big blinds per game). However, 0.000986 big blinds per game on expectation means that even if someone played against Cepheus for a lifetime, this person will not be ...
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Pluribus (poker Bot)
Pluribus is a computer poker player using artificial intelligence built by Facebook, Facebook's AI Lab and Carnegie Mellon University. Pluribus plays the poker variation no-limit Texas hold 'em and is "the first bot to beat humans in a complex multiplayer competition". According to the Pluribus creators, "Developing a superhuman AI for multiplayer poker was the widely recognized main remaining milestone" in computer poker prior to Pluribus. Pluribus relies on offline self-play to build a base strategy, but then continues to learn in real-time during its online play. The base strategy was computed in eight days, and at market rates would cost about $144 to produce, much smaller than contemporary superhuman game-playing milestones such as AlphaZero. In AI, two-player zero-sum games (such as heads-up hold'em) are usually won by approximating a Nash equilibrium strategy; however, this approach does not work for games with three or more players. Pluribus instead uses an approach which la ...
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