Zugzwang
Zugzwang (German for "compulsion to move", ) is a situation found in chess and other turn-based games wherein one player is put at a disadvantage because of their obligation to make a move; a player is said to be "in zugzwang" when any legal move will worsen their position. Although the term is used less precisely in games such as chess, it is used specifically in combinatorial game theory to denote a move that directly changes the outcome of the game from a win to a loss. Putting the opponent in zugzwang is a common way to help the superior side win a game, and in some cases it is necessary in order to make the win possible. The term ''zugzwang'' was used in German chess literature in 1858 or earlier, and the first known use of the term in English was by World Champion Emanuel Lasker in 1905. The concept of zugzwang was known to chess players many centuries before the term was coined, appearing in an endgame study published in 1604 by Alessandro Salvio, one of the first writers ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Chess Endgame
In chess and other similar games, the endgame (or end game or ending) is the stage of the game when few pieces are left on the board. The line between middlegame and endgame is often not clear, and may occur gradually or with the quick exchange of a few pairs of pieces. The endgame, however, tends to have different characteristics from the middlegame, and the players have correspondingly different strategic concerns. In particular, pawns become more important as endgames often revolve around attempting to promote a pawn by advancing it to the eighth . The king, which normally should stay hidden during the game should become active in the endgame, as it can help escort pawns to the promotion square, attack enemy pawns, protect other pieces, and restrict the movement of the enemy king. All chess positions with up to seven pieces on the board have been solved, that is, the outcome (win, loss, or draw) of best play by both sides is known, and textbooks and reference works teach th ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Endgame (chess)
In chess and other similar games, the endgame (or end game or ending) is the stage of the game when few pieces are left on the board. The line between middlegame and endgame is often not clear, and may occur gradually or with the quick exchange of a few pairs of pieces. The endgame, however, tends to have different characteristics from the middlegame, and the players have correspondingly different strategic concerns. In particular, pawns become more important as endgames often revolve around attempting to promote a pawn by advancing it to the eighth . The king, which normally should stay hidden during the game should become active in the endgame, as it can help escort pawns to the promotion square, attack enemy pawns, protect other pieces, and restrict the movement of the enemy king. All chess positions with up to seven pieces on the board have been solved, that is, the outcome (win, loss, or draw) of best play by both sides is known, and textbooks and reference works teach th ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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King And Pawn Endgame
In chess and other similar games, the endgame (or end game or ending) is the stage of the game when few chess piece, pieces are left on the board. The line between chess middlegame, middlegame and endgame is often not clear, and may occur gradually or with the quick exchange (chess), exchange of a few pairs of pieces. The endgame, however, tends to have different characteristics from the middlegame, and the players have correspondingly different strategic concerns. In particular, pawn (chess), pawns become more important as endgames often revolve around attempting to promotion (chess), promote a pawn by advancing it to the eighth . The king, which normally should stay hidden during the game should become active in the endgame, as it can help escort pawns to the promotion square, attack enemy pawns, protect other pieces, and restrict the movement of the enemy king. All chess positions with up to seven pieces on the board have been Solved game, solved, that is, the outcome (win, los ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Chess
Chess is a board game for two players, called White and Black, each controlling an army of chess pieces in their color, with the objective to checkmate the opponent's king. It is sometimes called international chess or Western chess to distinguish it from related games, such as xiangqi (Chinese chess) and shogi (Japanese chess). The recorded history of chess goes back at least to the emergence of a similar game, chaturanga, in seventh-century India. The rules of chess as we know them today emerged in Europe at the end of the 15th century, with standardization and universal acceptance by the end of the 19th century. Today, chess is one of the world's most popular games, played by millions of people worldwide. Chess is an abstract strategy game that involves no hidden information and no use of dice or cards. It is played on a chessboard with 64 squares arranged in an eight-by-eight grid. At the start, each player controls sixteen pieces: one king, one queen, two rooks, t ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Tempo (chess)
In chess and other chess-like games, a tempo is a "turn" or single move (a half-move or ply made either by White or Black). When a player achieves a desired result in one fewer move, the player is said to "gain a tempo"; conversely, when a player takes one more move than necessary, the player is said to "lose a tempo". Similarly, when a player forces their opponent to make moves not according to their initial plan, one is said to "gain tempo" because the opponent is wasting moves. A move that gains a tempo is often called "a move with tempo". A simple example of losing a tempo may be moving a rook from the h1-square to h5 and from there to h8 in the first diagram; simply moving from h1 to h8 would have achieved the same result with a tempo to spare. However, such maneuvers do not always lose a tempo—the rook on h5 may make some threat which needs to be responded to. In this case, since both players have "lost" a tempo, the net result in terms of time is nil, but the change broug ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Triangulation (chess)
Triangulation is a tactic used in chess to put one's opponent in zugzwang (a position when it is a disadvantage to move). Triangulation is also called ''losing a tempo'' or ''losing a move''. Triangulation occurs most commonly in endgames with only kings and pawns when one king can maneuver on three adjacent squares in the shape of a triangle and maintain the basic position while the opposing king only has two such squares. Thus, if one king triangulates by using three moves to return to the original square and the opposing king cannot do the same, he has lost a crucial tempo and reached the same position with the other player to move. Triangulation can occur in other endgames and even in some middlegames. Example Consider this position, with White to move. Here, Black has the opposition and is keeping the white king out. However, if White had the opposition (i.e. it were Black's move in this position), the black king would have to move away from d7 and allow the white ki ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Stalemate
Stalemate is a situation in the game of chess where the player whose turn it is to move is not in check and has no legal move. Stalemate results in a draw. During the endgame, stalemate is a resource that can enable the player with the inferior position to draw the game rather than lose. In more complex positions, stalemate is much rarer, usually taking the form of a swindle that succeeds only if the superior side is inattentive. Stalemate is also a common theme in endgame studies and other chess problems. The outcome of a stalemate was standardized as a draw in the 19th century. Before this standardization, its treatment varied widely, including being deemed a win for the stalemating player, a half-win for that player, or a loss for that player; not being permitted; and resulting in the stalemated player missing a turn. Stalemate rules vary in other games of the chess family. Etymology and usage The first recorded use of stalemate is from 1765. It is a compounding of Middl ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Combinatorial Game Theory
Combinatorial game theory is a branch of mathematics and theoretical computer science that typically studies sequential games with perfect information. Study has been largely confined to two-player games that have a ''position'' that the players take turns changing in defined ways or ''moves'' to achieve a defined winning condition. Combinatorial game theory has not traditionally studied games of chance or those that use imperfect or incomplete information, favoring games that offer perfect information in which the state of the game and the set of available moves is always known by both players. However, as mathematical techniques advance, the types of game that can be mathematically analyzed expands, thus the boundaries of the field are ever changing. Scholars will generally define what they mean by a "game" at the beginning of a paper, and these definitions often vary as they are specific to the game being analyzed and are not meant to represent the entire scope of the field. C ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Alessandro Salvio
Alessandro Salvio (c. 1575 – c. 1640) was a leading Italian chess player in the early 17th century. He started a chess academy in Naples, and wrote a book called ''Trattato dell'Inventione et Arte Liberale del Gioco Degli Scacchi'', which was published in Naples in 1604. He also wrote '' Il Puttino'' published in 1634. According to JH Saratt's translation, Il Puttino was first published in 1604, and republished in 1634. Salvio Gambit The Salvio Gambit is a gambit in the King's Gambit Accepted. It is as follows; 1.e4 e5 2.f4 exf4 3.Nf3 g5 4.Bc4 g4 5.Ne5 Qh4+ 6.Kf1. See also * Lucena position The Lucena position is one of the most famous and important positions in chess endgame theory, where one side has a rook and a pawn and the defender has a rook. Karsten Müller said that it may be the most important position in endgame theory. ... References Bibliography * Further readingThe works of Damiano, Ruy-Lopez, and Salvio on the game of chessVon J. H. Sarratt, Damiano, Ruy ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Checkmate
Checkmate (often shortened to mate) is any game position in chess and other chess-like games in which a player's king is in check (threatened with ) and there is no possible escape. Checkmating the opponent wins the game. In chess, the king is never actually captured—the player loses as soon as the player's king is checkmated. In formal games, it is usually considered good etiquette to resign an inevitably lost game before being checkmated. If a player is not in check but has no legal move, then it is '' stalemate'', and the game immediately ends in a draw. A checkmating move is recorded in algebraic notation using the hash symbol "#", for example: 34.Qg3#. Examples A checkmate may occur in as few as two moves on one side with all of the pieces still on the board (as in Fool's mate, in the opening phase of the game), in a middlegame position (as in the 1956 game called the Game of the Century between Donald Byrne and Bobby Fischer), or after many moves with as few as t ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Player (game)
Gameplay is the specific way in which players interact with a game, and in particular with video games. Gameplay is the pattern defined through the game rules, connection between player and the game, challenges and overcoming them, plot and player's connection with it. Video game gameplay is distinct from graphics and audio elements. In card games, the equivalent term is play. Overview Arising alongside video game development in the 1980s, the term ''gameplay'' was used solely within the context of video games, though now its popularity has begun to see use in the description of other, more traditional, game forms. Generally, gameplay is considered the overall experience of playing a video game, excluding factors like graphics and sound. Game mechanics, on the other hand, is the sets of rules in a game that are intended to produce an enjoyable gaming experience. Academic discussions tend to favor ''game mechanics'' specifically to avoid ''gameplay'' since the latter is too vagu ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Paul Morphy
Paul Charles Morphy (June 22, 1837 – July 10, 1884) was an American chess player. He is considered to have been the greatest chess master of his era and is often considered the unofficial World Chess Champion. A chess prodigy, he was called "The Pride and Sorrow of Chess" because he had a brilliant chess career but retired from the game while still young. Commentators agree that he was far ahead of his time as a chess player, though there is disagreement on how his play ranks compared to modern players. Morphy was born in New Orleans to a wealthy and distinguished family. He learned to play chess by simply watching games between his father and uncle. His family soon recognized the boy's talent for the game and encouraged him to play at family gatherings, and by the age of nine he was considered to be one of the best players in the city. At just twelve years of age, Morphy defeated visiting Hungarian master Johann Löwenthal in a three-game match. After receiving his law ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |