The opposite-colored bishops endgame is a chess endgame in which each side has a single bishop and those bishops operate on opposite-colored squares. Without other pieces besides pawns and the kings, these endings are widely known for their tendency to result in a draw. These are the most difficult endings in which to convert a small material advantage to a win. With additional pieces, the stronger side has more chances to win, but still not as many as when bishops are on the same color.
Many players in a poor position have escaped a loss by trading down to such an endgame. These endgames are normally drawn when one side has a one-pawn advantage. Two or even three extra pawns may not suffice for a win either, since the weaker side can create a blockade on the squares on which their bishop operates.
Edmar Mednis gives two principles for endgames with bishops on opposite colors:
Ian Rogers gives three principles when there are only the bishops and pawns:
In endings with opposite-colored bishops, a material advantage is much less important than in most endgames and position is more important. Positions where one side has an extra pawn are usually drawn, and it is not uncommon to have two extra pawns (occasionally more) and to be unable to make progress. [3] About half of the endings with a bishop and two pawns versus a bishop on the opposite color are drawn. [4] (By contrast, over 90% are won if the bishops are on the same color.)
Zugzwang is a tool that often helps the superior side win an endgame. It is a fairly common occurrence in endings with bishops on the same color but is much less common in endgames with opposite-colored bishops. [5]
The weaker side should often try to make his bishop bad by placing his pawns on the same color of his bishop in order to defend his remaining pawns, thereby creating an impregnable fortress. [6] The attacker should generally put his pawns on squares of the opposite color as his bishop to prevent a blockade. [7]
This is almost always a draw. The attacker's bishop is practically useless and the defender should draw if his king can reach any square in front of the pawn that is not of the color of the attacking bishop; or if his bishop can permanently attack any square in front of the pawn. [8] These endings are trivially drawn 99% of the time. [9]
About half of these positions are drawn. In most other endings, a two pawn advantage is usually an easy win. For comparison, if the bishops were on the same color squares, over 90% of the positions would be wins.
There are three general cases, depending on the two pawns. In most endings, a pair of connected pawns have the best winning chances, but in these endings, a widely separated pair of pawns have the best chances [10] unless one of the pawns is the wrong rook pawn.
With doubled pawns, the position is a draw if the defending king can reach any square in front of the pawns that is not of the color of the attacker's bishop. The second pawn on the file is of no help, so this is like the ending with only one pawn. If the defending king and bishop cannot accomplish this, the first pawn will win the defending bishop and the second one will promote. [11]
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With isolated pawns (on non-adjacent files), the outcome depends on how widely separated the pawns are. The more widely separated they are, the better the winning chances. [12] The rule that holds in most cases is that if only one file separates the pawns the game is a draw, otherwise the attacker wins. The reason is that if the pawns are more widely separated, the defending king must block one pawn while his bishop blocks the other pawn. Then the attacking king can support the pawn blocked by the bishop and win the piece. If only one file is between the pawns, the defender can stop the advance of the pawns. See the diagram. [13] If three files separate the pawns, the pawns normally win. [14] However, there are positions where the defender can set up a blockade, especially if one of the pawns is the wrong rook pawn. [15]
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In this position from Yuri Averbakh, Black draws since the bishop can restrain both pawns on the same diagonal with the help of the king and the white bishop is helpless.
The white king will not get to e6.
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An example is the game N. Miller vs. A. Saidy, American Open 1971. White resigned in this position because he knew a "rule" articulated by Fine in the first edition of Basic Chess Endings : "If the pawns are two or more files apart, they win." [17] Since here three files separate the pawns, White assumed his position was hopeless. However, the position is actually a fairly straightforward draw, since "White's King has such a powerful active location that he can keep Black's King from penetrating either side of the board.". [18] Play might continue 1. Bh3+ Ke7 2. Bg2 Kf6 3. Bh3 Kg5 4. Bg2 Kf4 5. Kc4! Bd4 6. Kd3 Bg1 7. Bc6 Kg4 8. Bg2! Bf2 9. Kc4! Kf4 10. Kd3 Ke5 11. Kc4, when, "Clearly there is no way for Black to break the blockade." [19]
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If one of the two pawns is the wrong rook pawn (i.e. an a- or h-pawn whose queening square is the opposite color from the squares on which the superior side's bishop moves), a fortress may allow the inferior side to draw irrespective of how far apart the two pawns are. This is illustrated by Alekhine–Ed. Lasker, New York City 1924. (complete game) Three files separate Black's two pawns, but the players agreed to a draw after 52.Bb1 Kg7 53.Kg2. Alekhine explained in the tournament book that White "can now sacrifice his Bishop for the [d-pawn], inasmuch as the King has settled himself in the all-important corner". [20]
If one of the pawns is the wrong rook pawn, it does not matter how widely separated or how advanced the pawns are. The outcome depends on whether or not the defending king can get into the corner in front of the rook pawn and sacrifice his bishop for the other pawn. [21]
Grandmaster Jesus de la Villa emphasizes the importance of this endgame and gives this breakdown depending on how many files separate the pawns:
Positions with connected pawns are the most complex case, and the result depends on the ranks and files of the pawns and the colors and locations of the bishops. If one of the pawns is a rook pawn (on the a- or h- file) the position is normally drawn. If the pawns are on the opposite color as the defender's bishop, the defender may be able to blockade the pawns and draw. If both pawns can safely reach the sixth rank, they win unless one is the wrong rook pawn, i.e. the rook pawn that promotes on the square of the same color as the defending bishop. [23]
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The ideal drawing setup is seen in the diagram at left. Black's king (on a square not of the color of the opposing bishop) and bishop stay two ranks in front of the pawns, with both defending against a pawn advance (here d6 by White) to the same color square as the bishop. The defending bishop must maintain an attack on the pawn on the same color square as itself, so that the attacking king is not allowed to advance. If White pushes the other (unattacked) pawn, Black's bishop sacrifices itself for both pawns, with a draw. (If the second pawn is protected and advances instead, the position is also a draw.) In the diagram position, Black on move passes (i.e. a waiting move that maintains the attack on the pawn) with 1... Bb8! 2. Ke4 Bc7! 3. Kf5 Bb8! and so on. White cannot make progress: 4. d6+ is met, as always, by 4... Bxd6 5. exd6+ Kxd6 with an immediate draw; 4. e6 gives Black an unbreakable blockade on the dark squares; and White can never prepare for d6+ by playing Kc5 because Black plays ... Bxe5.
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A similar position with White's pawns on the sixth rank is a win because the black bishop has no room to move and maintain the attack on the pawn on d6, thus Black is defeated because of zugzwang. In the position at right, Black loses immediately. Black, on move, must give way with either bishop or king, allowing White to move e7, winning, or else play the hopeless 1... Bxd6 2. Kxd6. If White is to move in this position, he plays a waiting move such as 1. Kc6, placing Black in the same predicament (1... Ke8 2. Kc7#). [24]
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Draws are possible with more pawns. This is an example of a drawing fortress with opposite-colored bishops when three pawns behind. White simply keeps his bishop on the h3 to c8 diagonal. [25] (See Fortress (chess)#Opposite-colored bishops.) Positions with three pawns versus none are wins 90% of the time. [26]
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In Berger versus Kotlerman, the pawns are separated by two files, but the game was drawn. [27]
If 7...b2, then 8.Bb1. If Black keeps his king near the b-pawn, then White moves his king. If the king goes to g2 trying to displace the white king, White moves the bishop.
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In this game [28] Black has an inferior position, but he draws by exchanging queens and rooks, giving up two pawns, and reaching a drawn endgame:
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The blockade has been set up. Black's pawns can be protected by his bishop and White's passed pawns cannot make any progress. The game continued:
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In this position from Nunn (a slight modification of a simultaneous game), White wins:
and White wins easily by supporting the g-pawn with the king. Black loses because he cannot defend the pawn on g5 with the bishop from d8 or e7. If the black king were on b8, then 1...Ba5 would draw. [30]
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In the game between Ivan Sokolov and Luke McShane, Black discards his pawn and goes for a stalemate defense:
and a draw was agreed because White cannot break through, e.g. 6.Ba4+ Kf8 7.h6 Bxf6 8.Kxf6 stalemate. [31]
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In an endgame with opposite-colored bishops, positional factors may be more important than material (see quotes below). In this position, Black sacrifices a pawn (leaving him three pawns down) to reach a fortress.
After 4...Be2 5.Kh6 Bd1 6.h5 Black just waits by playing 6...Be2. [32]
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Another position illustrating the principle stated above is from the game Kotov–Botvinnik, Moscow 1955. Grandmaster Lev Alburt writes, "Black has an extra pawn, but his opponent appears to have a reasonable blockade in place." [33] However, Botvinnik finds a way to create another passed pawn.
2.hxg5 h4 3.Bd6 Bf5 4.g6 Bxg6 5.f5 Bxf5 6.Kxb3 Kg2 costs White his bishop and the game. [34] [35]
Black must keep his b-pawn. [36] [37]
Black has gone from being a pawn up to temporarily being a pawn down, but he has a won game. If 3.Bxd4, then 3...Kg3 4.g6 Kxh4 5.Kd2 Kh3!! 6.Bf6 h4 7.Ke2 Kg2!. [38]
Not 3...Kg4? 4.d5! Bxd5 5.Bf2, drawing. [39]
4.g6 Kxh4 5.g7 Kg4 also wins. [40] 4.Be7 Kxh4 5.g6+ Kg4 wins. [41]
Or 7.d5 Bxd5+. [42]
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In this game between Bobby Fischer and Jan Hein Donner, White was winning, but Black had a swindle to save the game by getting to a drawn opposite-colored bishop endgame. Play continued:
If 33.d5, then 33...Ba3 stops the pawn.
If Fischer had won this game, he would have tied with Boris Spassky for first place in the 1966 Piatigorsky Cup tournament.
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In this position from a game [44] between Fischer and Lev Polugaevsky a pair of rooks had just been exchanged. An endgame with opposite-colored bishops was reached, with three pawns to two, which was a dead draw. [45]
In this 1932 game [46] between Milan Vidmar and Géza Maróczy, White was three pawns ahead, but was unable to win. Pawns are doubled on the rook file , which would give White the wrong rook pawn, making the white bishop unable to assist in promotion. The game ended in a draw on move 129, because checkmate was impossible. Before the end, two insignificant underpromotions to bishops occurred.
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As stated above, in endgames with opposite-colored bishops, positional factors may be more important than material differences. John Nunn makes two points:
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In some cases with more pawns on the board, if one side has weak pawns then it is actually advantageous to the other side to have the bishops on opposite colors. In the 1925 game of Efim Bogoljubov versus Max Blümich, White wins because of the bishops being on opposite colors making Black weak on the black squares, the weakness of Black's isolated pawns on the queenside , and the weak doubled pawns on the kingside . [48] [49] The game continued:
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Although endgames with opposite-colored bishops tend to be drawish, even with a material advantage, in some cases positional advantages can be enough to win with the same material on both sides. In this position from a 1956 game between Reinhart Fuchs and Ratmir Kholmov, [50] Black's positional advantages enabled him to win. [51]
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In this 1976 game between Bojan Kurajica and Anatoly Karpov, the material is even but Black has pinned down White's queenside pawns and is preparing to break through. [52] Black needs to create another weakness or passed pawn to win. White resigned after move 57. [53] [54]
Occasionally opposite-colored bishops endings offer a defender better prospects for a draw than same-colored bishops endings. The weaker side can set up a color-blockade, so the side with the extra material or exchange cannot attack.
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If both sides have an additional matching piece, the situation is much more complex and cannot be easily codified. Generally, the presence of the additional pieces gives the stronger side more winning chances. Glenn Flear calls these "NQE"s ("Not Quite Endgames"). [55] The initiative is important in these types of endgames. [56]
With each side having a knight in addition to the bishops, the main idea is for the stronger side to create two passed pawns. If this can be done then the exchange of knights is acceptable for the stronger side. However, the exchange of knights may benefit the defender, especially if there is only one passed pawn and he has no other weaknesses. This endgame occurs in about 0.6% of games between high-rated players. [57]
If each side has a rook in addition to the bishop, the stronger side has far more winning prospects. The attacking rook can have influence on both colors of squares. Sometimes exchanging the rook for the defender's bishop breaks a fortress. Sometimes the defending bishop can be sacrificed for pawns to result in a rook and bishop versus rook endgame that can be drawn. The most difficult problem encountered by the stronger side is usually in breaking a blockade by the opposite bishop. These endgames occur in 2.8% of the games between high-rated players. [58]
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This type of endgame was reached in a 2006 game between Veselin Topalov and Levon Aronian, see the first diagram. (The game and analysis is on this page and the game score is also here.) White was able to make slow progress (see the second diagram, showing the position after 72 moves).
The game concluded:
Black resigned because the pawn will advance to c7 and Black cannot defend against rook attacks on the seventh rank and the h-file. [59]
When each side has an additional queen, the stronger side has good winning chances thanks to such themes as checkmate that do not exist in many other endgames. However, the possibility of exchanging queens is a paramount concern. The stronger side should try to get two widely spaced passed pawns before exchanging queens. Defending squares of the color of the stronger side's bishop can be difficult if there are weaknesses or threats on both sides of the board. The stronger side must increase his advantage before exchanging queens and sometimes this is done with a direct attack on the king. These endgames occur in 0.8% of the games between high-rated players. [60]
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The earliest opposite-colored bishop endgame in the ChessBase database is an 1862 game between Louis Paulsen and Adolf Anderssen in their unofficial world championship match. [61] It was a draw because of the wrong rook pawn. Play continued:
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This 1620 game between an unknown player and Gioachino Greco was won by Black on move 50. [62]
Chess strategy is the aspect of chess play concerned with evaluation of chess positions and setting goals and long-term plans for future play. While evaluating a position strategically, a player must take into account such factors as the relative value of the pieces on the board, pawn structure, king safety, position of pieces, and control of key squares and groups of squares. Chess strategy is distinguished from chess tactics, which is the aspect of play concerned with the move-by-move setting up of threats and defenses. Some authors distinguish static strategic imbalances, which tend to persist for many moves, from dynamic imbalances, which are temporary. This distinction affects the immediacy with which a sought-after plan should take effect. Until players reach the skill level of "master", chess tactics tend to ultimately decide the outcomes of games more often than strategy. Many chess coaches thus emphasize the study of tactics as the most efficient way to improve one's results in serious chess play.
The bishop is a piece in the game of chess. It moves and captures along diagonals without jumping over intervening pieces. Each player begins the game with two bishops. The starting squares are c1 and f1 for White's bishops, and c8 and f8 for Black's bishops.
The knight is a piece in the game of chess, represented by a horse's head and neck. It moves two squares vertically and one square horizontally, or two squares horizontally and one square vertically, jumping over other pieces. Each player starts the game with two knights on the b- and g-files, each located between a rook and a bishop.
The endgame is the final stage of a chess game which occurs after the middlegame. It begins when few pieces are left on the board.
Zugzwang 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.
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. It is fundamental in the rook and pawn versus rook endgame. If the side with the pawn can reach this type of position, they can forcibly win the game. Most rook and pawn versus rook endgames reach either the Lucena position or the Philidor position if played accurately. The side with the pawn will try to reach the Lucena position to win; the other side will try to reach the Philidor position to draw.
Checkmate is any game position in chess and other chess-like games in which a player's king is in check and there is no possible escape. Checkmating the opponent wins the game.
The two knights endgame is a chess endgame with a king and two knights versus a king. In contrast to a king and two bishops, or a bishop and a knight, a king and two knights cannot force checkmate against a lone king. Although there are checkmate positions, a king and two knights cannot force them against proper, relatively easy defense.
The Philidor position is a chess endgame involving a drawing technique for the defending side in the rook and pawn versus rook endgame. This technique is known as the third-rank defense due to the positioning of the defending rook. It was analyzed by François-André Danican Philidor in 1777. Many rook and pawn versus rook endgames reach either the drawn Philidor position or the winning Lucena position. The defending side should try to reach the Philidor position; the attacking side should try to reach the Lucena position. Said grandmaster Jesús de la Villa, "[The Lucena and Philidor positions] are the most important positions in this type of endgame [...] and in endgame theory."
The Tarrasch rule is a general principle that applies in the majority of chess middlegames and endgames. Siegbert Tarrasch (1862–1934) stated the "rule" that rooks should be placed behind passed pawns – either the player's or the opponent's. The idea behind the guideline is that (1) if a player's rook is behind his passed pawn, the rook protects it as it advances, and (2) if it is behind an opponent's passed pawn, the pawn cannot advance unless it is protected along its way.
The chess endgame with a king and a pawn versus a king is one of the most important and fundamental endgames, other than the basic checkmates. It is an important endgame for chess players to master, since most other endgames have the potential of reducing to this type of endgame via exchanges of pieces. Players need to be able to determine quickly whether a given position is a win or a draw, and to know the technique for playing it. The crux of this endgame is whether or not the pawn can be promoted, so checkmate can be forced.
In chess, the exchange is the material difference of a rook for a minor piece. Having a rook for a minor piece is generally advantageous, since the rook is usually more valuable. A player who has a rook for a minor piece is said to be up the exchange, and the other player is down the exchange. A player who wins a rook for a minor piece is said to have won the exchange, while the other player has lost the exchange. The opposing captures often happen on consecutive moves, but this is not strictly necessary. Although it is generally detrimental to lose the exchange, one may occasionally find reason to purposely do so; the result is an exchange sacrifice.
In chess, a fortress is an endgame drawing technique in which the side behind in material sets up a zone of protection that the opponent cannot penetrate. This might involve keeping the enemy king out of one's position, or a zone the enemy cannot force one out of. An elementary fortress is a theoretically drawn position with reduced material in which a passive defense will maintain the draw.
The rook and pawn versus rook endgame is a fundamentally important, widely studied chess endgame. Precise play is usually required in these positions. With optimal play, some complicated wins require sixty moves to either checkmate, capture the defending rook, or successfully promote the pawn. In some cases, thirty-five moves are required to advance the pawn once.
In chess, a swindle is a ruse by which a player in a losing position tricks their opponent and thereby achieves a win or draw instead of the expected loss. It may also refer more generally to obtaining a win or draw from a clearly losing position. I. A. Horowitz and Fred Reinfeld distinguish among "traps", "pitfalls", and "swindles". In their terminology, a "trap" refers to a situation where players go wrong through their own efforts. In a "pitfall", the beneficiary of the pitfall plays an active role, creating a situation where a plausible move by the opponent will turn out badly. A "swindle" is a pitfall adopted by a player who has a clearly lost game. Horowitz and Reinfeld observe that swindles, "though ignored in virtually all chess books", "play an enormously important role in over-the-board chess, and decide the fate of countless games".
A pawnless chess endgame is a chess endgame in which only a few pieces remain, and no pawns. The basic checkmates are types of pawnless endgames. Endgames without pawns do not occur very often in practice except for the basic checkmates of king and queen versus king, king and rook versus king, and queen versus rook. Other cases that occur occasionally are (1) a rook and minor piece versus a rook and (2) a rook versus a minor piece, especially if the minor piece is a bishop.
The rook and bishop versus rook endgame is a chess endgame where one player has just a king, a rook, and a bishop, and the other player has just a king and a rook. This combination of material is one of the most common pawnless chess endgames. It is generally a theoretical draw, but the rook and bishop have good winning chances in practice because the defense is difficult. Ulf Andersson won the position twice within a year, once against a grandmaster and once against a candidate master; and grandmaster Keith Arkell has won it 27 times out of 27. In positions that have a forced win, up to 59 moves are required. Tony Kosten has seen the endgame many times in master games, with the stronger side almost always winning. Pal Benko called this the "headache ending." David Howell observed, "Especially below elite grandmaster level, this is one of the hardest endgames to draw."
In a chess endgame of a king, bishop, and pawn versus king, a wrong rook pawn is a rook pawn whose promotion square is the opposite color from the bishop's square color. Since a side's rook pawns promote on opposite-colored squares, one of them may be the "wrong rook pawn". This situation is also known as having the wrong-colored bishop or wrong bishop. In many cases, the wrong rook pawn will only draw, when any other pawn would win. This is because the defending side can sometimes get their king to the corner in front of the pawn, after which the attacking side cannot chase the king away to enable promotion. A fairly common defensive tactic is to reach one of these drawn endgames, often through a sacrifice.
In a chess endgame, a wrong bishop is a bishop that would have been better placed on the opposite square color. This most commonly occurs with a bishop and one of its rook pawns, but it also occurs with a rook versus a bishop, a rook and one rook pawn versus a bishop, and possibly with a rook and one bishop pawn versus a bishop.
The queen and pawn versus queen endgame is a chess endgame in which both sides have a queen and one side has a pawn, which one tries to promote. It is very complicated and difficult to play. Cross-checks are often used as a device to win the game by forcing the exchange of queens. It is almost always a draw if the defending king is in front of the pawn.
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