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Opposite-colored bishops endgame

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.

General principles edit

Edmar Mednis gives two principles for endgames with bishops on opposite colors:

  1. If a player is down material he should look for drawing chances in an endgame with only the bishops and pawns.
  2. With major pieces (queen or rook) on the board, having bishops on opposite colors favors the side with an attack.[1]

Ian Rogers gives three principles when there are only the bishops and pawns:

  1. Two connected pawns are not sufficient to win unless they reach their sixth rank.
  2. If the attacker has two widely separated passed pawns that cannot be controlled by the opposing bishop on a single diagonal, they usually win.
  3. When the attacker has an outside passed pawn, it should be stopped by the bishop only when the king can block the opposing king.[2]

Drawing tendency edit

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]

Bishop and pawn versus bishop edit

         

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]

Bishop and two pawns versus a bishop edit

           

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.

Doubled pawns edit

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]

Isolated pawns edit

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Isolated pawns. White to play, a draw. White wins if the pawn is on f5 instead of e5.

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]

Averbakh, 1972
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White to move, draw

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.

1. Kd5 Kf6!

The white king will not get to e6.

2. Kc5 Ke7
3. Kb5 Bf4
4. Kb6 Kd8, draw.[16]
N. Miller vs. A. Saidy, 1971
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White resigned in this drawn position.

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]

Wrong rook pawn edit

Alekhine vs. Ed. Lasker, 1924
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Draw despite Black's two well-separated pawns

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 AlekhineEd. 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]

Recap edit

Grandmaster Jesus de la Villa emphasizes the importance of this endgame and gives this breakdown depending on how many files separate the pawns:

  • If the pawns are separated by two files:
  1. Two bishop pawns normally win
  2. With a knight pawn and a central pawn the position is usually a draw, but there are winning chances if the knight pawn is not far advanced and the attacking bishop controls its promotion square
  3. with a rook pawn and a central pawn the endgame is a draw
  • If the pawns are separated by three files:
  1. With a knight pawn there are drawing chances if the pawn is far advanced
  2. With a rook pawn the position is usually won
  • If the pawns are separated by four files
The ending is won because the attacking king gets between the pawns.[22]

Connected pawns edit

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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Connected pawns on the fifth rank, the ideal defensive setup. Black draws (either player to move).

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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Connected pawns on the sixth rank. White wins (either player to move).

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]

More pawns edit

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Drawing fortress with bishops on opposite colors, Black to move.

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]

Examples from master games edit

Berger vs. Kotlerman edit

Berger vs. Kotlerman, 1948
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White to move draws.

In Berger versus Kotlerman, the pawns are separated by two files, but the game was drawn.[27]

1. Ke2 b3
2. Kd1 Kb4
3. Bh7 Ka3
4. Bg6 Kb2
5. Bf7! Ka2
6. Be6 Ka3
7. Bf5! ½–½

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.

Piskov vs. Nunn edit

Yury Piskov vs. John Nunn, 1992
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White to move

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:

37. Bf6 Qh5!
38. Qxh5 gxh5
39. Rxe8+ Bxe8
40. Be7 Bg6
41. Bxc5 Kf7!
42. Bxd4 a6
43. a3 Bd3
44. c5 Bc4
45. d6 Ke6
46. Kf2 Kd7
Piskov vs. Nunn
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Position after 46...Kd7

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:

47. Kg3 Be6
48. h4 Kc6
49. ½–½[29]

Nunn edit

Position from Nunn
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Black to move, White wins

In this position from Nunn (a slight modification of a simultaneous game), White wins:

1... Be1
2. Kf6! Bh4
3. Kf5 Kd6
4. g3 fxg3
5. Bg2 Kc7
6. Ke5 g4
7. hxg4

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]

Sokolov vs. McShane edit

Sokolov vs. McShane, 2002/3
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Black to move discards a pawn and sets up a stalemate defense.
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Position after 5...Ke8, draw

In the game between Ivan Sokolov and Luke McShane, Black discards his pawn and goes for a stalemate defense:

1... c4!?
2. Bxc4 Kf8
3. h5 Ke7
4. Bb3 Kf8
5. f6 Ke8 ½–½

and a draw was agreed because White cannot break through, e.g. 6.Ba4+ Kf8 7.h6 Bxf6 8.Kxf6 stalemate.[31]

Lautier vs. Rublevsky edit

Lautier vs. Rublevsky, 2003
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Black to move

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.

1... Kf5!
2. Kxf7 Bh5+
3. Kg7 Bd1
4. Be7 ½–½

After 4...Be2 5.Kh6 Bd1 6.h5 Black just waits by playing 6...Be2.[32]

Kotov vs. Botvinnik edit

Kotov vs. Botvinnik, 1955
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Black to move

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.

1... g5!! 2. fxg5

2.hxg5 h4 3.Bd6 Bf5 4.g6 Bxg6 5.f5 Bxf5 6.Kxb3 Kg2 costs White his bishop and the game.[34][35]

2...d4+!

Black must keep his b-pawn.[36][37]

3. exd4

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]

3... Kg3!

Not 3...Kg4? 4.d5! Bxd5 5.Bf2, drawing.[39]

4. Ba3

4.g6 Kxh4 5.g7 Kg4 also wins.[40] 4.Be7 Kxh4 5.g6+ Kg4 wins.[41]

4... Kxh4 5. Kd3 Kxg5 6. Ke4 h4 7. Kf3

Or 7.d5 Bxd5+.[42]

7... Bd5+ 0–1

Fischer vs. Donner edit

Fischer vs. Donner, 1966
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Position after 30.Bc4–d3?

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:

30... Rxc2
31. Bxf5 Rc1
32. Qxc1 Bxc1
33. Kf1 h6

If 33.d5, then 33...Ba3 stops the pawn.

34. Ke2 Kf8 ½–½[43]

If Fischer had won this game, he would have tied with Boris Spassky for first place in the 1966 Piatigorsky Cup tournament.

Fischer vs. Polugaevsky edit

Fischer vs. Polugaevsky, 1970
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White to move, draw agreed

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]

Vidmar vs. Maróczy edit

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.

Vidmar vs. Maróczy, 1932
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Position after 41.Bxb5
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Position after 115...Ke5

Advantageous with positional considerations edit

As stated above, in endgames with opposite-colored bishops, positional factors may be more important than material differences. John Nunn makes two points:

  1. Usually, the number of passed pawns is more important than the total number of pawns.
  2. Small changes in the pawn structure may have a large effect.[47]

Against weak pawns edit

Bogoljubov vs. Blümich, 1925
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Position after 28...Kf8

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:

29. Kd2 Ke7
30. Kc3 f6
31. Kd4 Be6
32. Kc5 Kd7
33. Kb6 g5
34. Kxa6 Kc7
35. Bb6+ Kc8
36. Bc5 Kc7
37. Bf8 f5
38. Bxg7 f4
39. Bf6 f3
40. gxf3 exf3
41. Bxg5 Bxh3
42. Bf4+ 1–0

Positional advantages edit

Fuchs vs. Kholmov, 1956
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Black to move wins.

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]

Kurajica vs. Karpov, 1976
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Position after 33...h4!

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]

As a defensive resource edit

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.

Liem vs. Svidler edit

Liem vs. Shirov, 2013
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Position after 27...Bd6. Black has established a solid dark-square blockade. Black's centralized pieces cannot be challenged by white's bishop.

Smyslov vs. Vaganian edit

Smyslov vs. Vaganian, 1988
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Black has good compensation for the material deficit. The well-entrenched knight in addition to the presence of opposite-colored bishops, makes the task very hard for white to convert his material advantage.

Additional pieces edit

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]

Knight edit

       

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]

Rook edit

       

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]

Example edit

Topalov vs. Aronian, 2006
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Position after 25.Rxd5 Rxd5
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Position before 73.Rd4!

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:

73. Rd4! Be6+
74. Kf8 Ra8+
75. Bd8 Bg4
76. c6 1–0

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]

Queen edit

       

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]

History edit

Paulsen vs. Anderssen, London, 1862
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Position after 54...bxc4, drawn on the 57th move

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:

55. Bf5+ Kh2
56. Bc2 h4
57. Be4 ½–½
NN vs. Greco, 1620
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Position after 32...Bxb1

This 1620 game between an unknown player and Gioachino Greco was won by Black on move 50.[62]

Quotes edit

  • "In endings with bishops of opposite color, material means NOTHING, position EVERYTHING." — Cecil Purdy (emphasis in the original)[63]

References edit

  1. ^ (Mednis 1990:75)
  2. ^ (Rogers 2010:40)
  3. ^ (Nunn 2007:145ff)
  4. ^ (Emms 2004:91)
  5. ^ (Angos 2005:84, 95)
  6. ^ (Emms 2004:100)
  7. ^ (Emms 2004:91)
  8. ^ (Fine & Benko 2003:184)
  9. ^ (Emms 2004:90)
  10. ^ (de la Villa 2008:110–11)
  11. ^ (de la Villa 2008:104)
  12. ^ (Emms 2004:95)
  13. ^ (Fine & Benko 2003:184–92)
  14. ^ (Emms 2004:95)
  15. ^ (Mednis 1990:114)
  16. ^ (de la Villa 2008:100)
  17. ^ (Fine 1941:179)
  18. ^ (Mednis 1990:96)
  19. ^ (Mednis 1990:97)
  20. ^ (Alekhine 1961:179 note jj)
  21. ^ (de la Villa 2008:111)
  22. ^ (de la Villa 2008:104–22)
  23. ^ (de la Villa 2008:106)
  24. ^ (Fine & Benko 2003:184–92)
  25. ^ (Dvoretsky 2006:92)
  26. ^ (Emms 2004:98)
  27. ^ (Dvoretsky 2006:95)
  28. ^ "Yury Piskov vs. John Nunn (1992)". www.chessgames.com. Retrieved 13 December 2017.
  29. ^ (Nunn 2007:145–46)
  30. ^ (Nunn 2007:146–48)
  31. ^ (Müller & Pajeken 2008:191)
  32. ^ (Müller & Pajeken 2008:191)
  33. ^ (Alburt 1996:19)
  34. ^ (Botvinnik 1972:75)
  35. ^ (Averbakh 1977:144)
  36. ^ (Botvinnik 1972:75)
  37. ^ (Averbakh 1977:144)
  38. ^ (Botvinnik 1972:75)
  39. ^ (Botvinnik 1972:75)
  40. ^ (Botvinnik 1972:75)
  41. ^ (Averbakh 1977:144)
  42. ^ (Botvinnik 1972:75)
  43. ^ (Mednis 1990:81–82)
  44. ^ "Robert James Fischer vs Lev Polugaevsky (1970)". www.chessgames.com. Retrieved 13 December 2017.
  45. ^ (Kasparov 2004:91–93)
  46. ^ "Milan Vidmar vs Geza Maroczy (1932) Opposites Detract". www.chessgames.com. Retrieved 13 December 2017.
  47. ^ (Nunn 2009:74)
  48. ^ (Reinfeld 1947:80–81)
  49. ^ "Efim Bogoljubov vs Max Bluemich (1925)". www.chessgames.com. Retrieved 13 December 2017.
  50. ^ "Reinhart Fuchs vs Ratmir Kholmov (1956)". www.chessgames.com. Retrieved 13 December 2017.
  51. ^ (Donaldson 1995:63–64)
  52. ^ "Bojan Kurajica vs Anatoly Karpov (1976)". www.chessgames.com. Retrieved 13 December 2017.
  53. ^ (Kasparov 2006:300–302)
  54. ^ (Donaldson 1995:66–67)
  55. ^ (Flear 2007:7–8)
  56. ^ (Müller & Pajeken 2008:141)
  57. ^ (Flear 2007:176ff)
  58. ^ (Flear 2007:326ff)
  59. ^ "Linares R10: Topalov marches on". chessbase.com. 5 March 2006. Retrieved 13 December 2017.
  60. ^ (Flear 2007:471ff)
  61. ^ "Louis Paulsen vs Adolf Anderssen (1862)". www.chessgames.com. Retrieved 13 December 2017.
  62. ^ "NN vs Gioachino Greco (1620)". www.chessgames.com. Retrieved 13 December 2017.
  63. ^ (Purdy 2003:140)

Bibliography

Further reading edit

External links edit

  • Edgar Walther vs. Bobby Fischer, 1959 Fischer draws two pawns down

opposite, colored, bishops, endgame, opposite, colored, bishops, endgame, chess, endgame, which, each, side, single, bishop, those, bishops, operate, opposite, colored, squares, without, other, pieces, besides, pawns, kings, these, endings, widely, known, thei. 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 Contents 1 General principles 2 Drawing tendency 3 Bishop and pawn versus bishop 4 Bishop and two pawns versus a bishop 4 1 Doubled pawns 4 2 Isolated pawns 4 2 1 Wrong rook pawn 4 2 2 Recap 4 3 Connected pawns 5 More pawns 6 Examples from master games 6 1 Berger vs Kotlerman 6 2 Piskov vs Nunn 6 3 Nunn 6 4 Sokolov vs McShane 6 5 Lautier vs Rublevsky 6 6 Kotov vs Botvinnik 6 7 Fischer vs Donner 6 8 Fischer vs Polugaevsky 6 9 Vidmar vs Maroczy 7 Advantageous with positional considerations 7 1 Against weak pawns 7 2 Positional advantages 8 As a defensive resource 8 1 Liem vs Svidler 8 2 Smyslov vs Vaganian 9 Additional pieces 9 1 Knight 9 2 Rook 9 2 1 Example 9 3 Queen 10 History 11 Quotes 12 References 13 Further reading 14 External linksThis article uses algebraic notation to describe chess moves General principles editEdmar Mednis gives two principles for endgames with bishops on opposite colors If a player is down material he should look for drawing chances in an endgame with only the bishops and pawns With major pieces queen or rook on the board having bishops on opposite colors favors the side with an attack 1 Ian Rogers gives three principles when there are only the bishops and pawns Two connected pawns are not sufficient to win unless they reach their sixth rank If the attacker has two widely separated passed pawns that cannot be controlled by the opposing bishop on a single diagonal they usually win When the attacker has an outside passed pawn it should be stopped by the bishop only when the king can block the opposing king 2 Drawing tendency editIn 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 Bishop and pawn versus bishop edit nbsp nbsp nbsp nbsp nbsp 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 Bishop and two pawns versus a bishop edit nbsp nbsp nbsp nbsp nbsp nbsp 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 Doubled pawns edit 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 Isolated pawns edit abcdefgh8 nbsp nbsp nbsp nbsp nbsp nbsp nbsp 877665544332211abcdefghIsolated pawns White to play a draw White wins if the pawn is on f5 instead of e5 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 Averbakh 1972abcdefgh8 nbsp nbsp nbsp nbsp nbsp nbsp nbsp 877665544332211abcdefghWhite to move draw 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 1 Kd5 Kf6 The white king will not get to e6 2 Kc5 Ke7 3 Kb5 Bf4 4 Kb6 Kd8 draw 16 N Miller vs A Saidy 1971abcdefgh8 nbsp nbsp nbsp nbsp nbsp nbsp nbsp 877665544332211abcdefghWhite resigned in this drawn position 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 Wrong rook pawn edit Main article Wrong rook pawn Alekhine vs Ed Lasker 1924abcdefgh8 nbsp nbsp nbsp nbsp nbsp nbsp nbsp 877665544332211abcdefghDraw despite Black s two well separated pawns 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 Recap edit Grandmaster Jesus de la Villa emphasizes the importance of this endgame and gives this breakdown depending on how many files separate the pawns If the pawns are separated by two files Two bishop pawns normally win With a knight pawn and a central pawn the position is usually a draw but there are winning chances if the knight pawn is not far advanced and the attacking bishop controls its promotion square with a rook pawn and a central pawn the endgame is a drawIf the pawns are separated by three files With a knight pawn there are drawing chances if the pawn is far advanced With a rook pawn the position is usually wonIf the pawns are separated by four filesThe ending is won because the attacking king gets between the pawns 22 dd Connected pawns edit 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 abcdefgh8 nbsp nbsp nbsp nbsp nbsp nbsp nbsp 877665544332211abcdefghConnected pawns on the fifth rank the ideal defensive setup Black draws either player to move 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 abcdefgh8 nbsp nbsp nbsp nbsp nbsp nbsp nbsp 877665544332211abcdefghConnected pawns on the sixth rank White wins either player to move 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 More pawns editabcdefgh8 nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp 877665544332211abcdefghDrawing fortress with bishops on opposite colors Black to move 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 Examples from master games editBerger vs Kotlerman edit Berger vs Kotlerman 1948abcdefgh8 nbsp nbsp nbsp nbsp nbsp nbsp nbsp 877665544332211abcdefghWhite to move draws In Berger versus Kotlerman the pawns are separated by two files but the game was drawn 27 1 Ke2 b3 2 Kd1 Kb4 3 Bh7 Ka3 4 Bg6 Kb2 5 Bf7 Ka2 6 Be6 Ka3 7 Bf5 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 Piskov vs Nunn edit Yury Piskov vs John Nunn 1992abcdefgh8 nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp 877665544332211abcdefghWhite to move 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 37 Bf6 Qh5 38 Qxh5 gxh5 39 Rxe8 Bxe8 40 Be7 Bg6 41 Bxc5 Kf7 42 Bxd4 a6 43 a3 Bd3 44 c5 Bc4 45 d6 Ke6 46 Kf2 Kd7Piskov vs Nunnabcdefgh8 nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp 877665544332211abcdefghPosition after 46 Kd7 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 47 Kg3 Be6 48 h4 Kc6 49 29 Nunn edit Position from Nunnabcdefgh8 nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp 877665544332211abcdefghBlack to move White wins In this position from Nunn a slight modification of a simultaneous game White wins 1 Be1 2 Kf6 Bh4 3 Kf5 Kd6 4 g3 fxg3 5 Bg2 Kc7 6 Ke5 g4 7 hxg4and 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 Sokolov vs McShane edit Sokolov vs McShane 2002 3 abcdefgh8 nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp 877665544332211abcdefghBlack to move discards a pawn and sets up a stalemate defense abcdefgh8 nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp 877665544332211abcdefghPosition after 5 Ke8 draw In the game between Ivan Sokolov and Luke McShane Black discards his pawn and goes for a stalemate defense 1 c4 2 Bxc4 Kf8 3 h5 Ke7 4 Bb3 Kf8 5 f6 Ke8 and a draw was agreed because White cannot break through e g 6 Ba4 Kf8 7 h6 Bxf6 8 Kxf6 stalemate 31 Lautier vs Rublevsky edit Lautier vs Rublevsky 2003abcdefgh8 nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp 877665544332211abcdefghBlack to move 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 1 Kf5 2 Kxf7 Bh5 3 Kg7 Bd1 4 Be7 After 4 Be2 5 Kh6 Bd1 6 h5 Black just waits by playing 6 Be2 32 Kotov vs Botvinnik edit Kotov vs Botvinnik 1955abcdefgh8 nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp 877665544332211abcdefghBlack to move 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 1 g5 2 fxg52 hxg5 h4 3 Bd6 Bf5 4 g6 Bxg6 5 f5 Bxf5 6 Kxb3 Kg2 costs White his bishop and the game 34 35 2 d4 Black must keep his b pawn 36 37 3 exd4Black 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 3 Kg3 Not 3 Kg4 4 d5 Bxd5 5 Bf2 drawing 39 4 Ba34 g6 Kxh4 5 g7 Kg4 also wins 40 4 Be7 Kxh4 5 g6 Kg4 wins 41 4 Kxh4 5 Kd3 Kxg5 6 Ke4 h4 7 Kf3Or 7 d5 Bxd5 42 7 Bd5 0 1Fischer vs Donner edit Fischer vs Donner 1966abcdefgh8 nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp 877665544332211abcdefghPosition after 30 Bc4 d3 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 30 Rxc2 31 Bxf5 Rc1 32 Qxc1 Bxc1 33 Kf1 h6If 33 d5 then 33 Ba3 stops the pawn 34 Ke2 Kf8 43 If Fischer had won this game he would have tied with Boris Spassky for first place in the 1966 Piatigorsky Cup tournament Fischer vs Polugaevsky edit Fischer vs Polugaevsky 1970abcdefgh8 nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp 877665544332211abcdefghWhite to move draw agreed 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 Vidmar vs Maroczy edit In this 1932 game 46 between Milan Vidmar and Geza Maroczy 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 Vidmar vs Maroczy 1932 abcdefgh8 nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp 877665544332211abcdefghPosition after 41 Bxb5 abcdefgh8 nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp 877665544332211abcdefghPosition after 115 Ke5Advantageous with positional considerations editAs stated above in endgames with opposite colored bishops positional factors may be more important than material differences John Nunn makes two points Usually the number of passed pawns is more important than the total number of pawns Small changes in the pawn structure may have a large effect 47 Against weak pawns edit Bogoljubov vs Blumich 1925abcdefgh8 nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp 877665544332211abcdefghPosition after 28 Kf8 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 Blumich 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 29 Kd2 Ke7 30 Kc3 f6 31 Kd4 Be6 32 Kc5 Kd7 33 Kb6 g5 34 Kxa6 Kc7 35 Bb6 Kc8 36 Bc5 Kc7 37 Bf8 f5 38 Bxg7 f4 39 Bf6 f3 40 gxf3 exf3 41 Bxg5 Bxh3 42 Bf4 1 0Positional advantages edit Fuchs vs Kholmov 1956abcdefgh8 nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp 877665544332211abcdefghBlack to move wins 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 Kurajica vs Karpov 1976abcdefgh8 nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp 877665544332211abcdefghPosition after 33 h4 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 As a defensive resource editOccasionally 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 Liem vs Svidler edit Liem vs Shirov 2013abcdefgh8 nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp 877665544332211abcdefghPosition after 27 Bd6 Black has established a solid dark square blockade Black s centralized pieces cannot be challenged by white s bishop Smyslov vs Vaganian edit Smyslov vs Vaganian 1988abcdefgh8 nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp 877665544332211abcdefghBlack has good compensation for the material deficit The well entrenched knight in addition to the presence of opposite colored bishops makes the task very hard for white to convert his material advantage Additional pieces editIf 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 Knight edit nbsp nbsp nbsp nbsp 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 Rook edit nbsp nbsp nbsp nbsp 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 Example edit Topalov vs Aronian 2006 abcdefgh8 nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp 877665544332211abcdefghPosition after 25 Rxd5 Rxd5 abcdefgh8 nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp 877665544332211abcdefghPosition before 73 Rd4 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 73 Rd4 Be6 74 Kf8 Ra8 75 Bd8 Bg4 76 c6 1 0Black resigned because the pawn will advance to c7 and Black cannot defend against rook attacks on the seventh rank and the h file 59 Queen edit nbsp nbsp nbsp nbsp 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 History editPaulsen vs Anderssen London 1862abcdefgh8 nbsp nbsp nbsp nbsp nbsp nbsp nbsp 877665544332211abcdefghPosition after 54 bxc4 drawn on the 57th move 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 55 Bf5 Kh2 56 Bc2 h4 57 Be4 NN vs Greco 1620abcdefgh8 nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp 877665544332211abcdefghPosition after 32 Bxb1 This 1620 game between an unknown player and Gioachino Greco was won by Black on move 50 62 Quotes edit In endings with bishops of opposite color material means NOTHING position EVERYTHING Cecil Purdy emphasis in the original 63 References edit Mednis 1990 75 Rogers 2010 40 Nunn 2007 145ff Emms 2004 91 Angos 2005 84 95 Emms 2004 100 Emms 2004 91 Fine amp Benko 2003 184 Emms 2004 90 de la Villa 2008 110 11 de la Villa 2008 104 Emms 2004 95 Fine amp Benko 2003 184 92 Emms 2004 95 Mednis 1990 114 de la Villa 2008 100 Fine 1941 179 Mednis 1990 96 Mednis 1990 97 Alekhine 1961 179 note jj de la Villa 2008 111 de la Villa 2008 104 22 de la Villa 2008 106 Fine amp Benko 2003 184 92 Dvoretsky 2006 92 Emms 2004 98 Dvoretsky 2006 95 Yury Piskov vs John Nunn 1992 www chessgames com Retrieved 13 December 2017 Nunn 2007 145 46 Nunn 2007 146 48 Muller amp Pajeken 2008 191 Muller amp Pajeken 2008 191 Alburt 1996 19 Botvinnik 1972 75 Averbakh 1977 144 Botvinnik 1972 75 Averbakh 1977 144 Botvinnik 1972 75 Botvinnik 1972 75 Botvinnik 1972 75 Averbakh 1977 144 Botvinnik 1972 75 Mednis 1990 81 82 Robert James Fischer vs Lev Polugaevsky 1970 www chessgames com Retrieved 13 December 2017 Kasparov 2004 91 93 Milan Vidmar vs Geza Maroczy 1932 Opposites Detract www chessgames com Retrieved 13 December 2017 Nunn 2009 74 Reinfeld 1947 80 81 Efim Bogoljubov vs Max Bluemich 1925 www chessgames com Retrieved 13 December 2017 Reinhart Fuchs vs Ratmir Kholmov 1956 www chessgames com Retrieved 13 December 2017 Donaldson 1995 63 64 Bojan Kurajica vs Anatoly Karpov 1976 www chessgames com Retrieved 13 December 2017 Kasparov 2006 300 302 Donaldson 1995 66 67 Flear 2007 7 8 Muller amp Pajeken 2008 141 Flear 2007 176ff Flear 2007 326ff Linares R10 Topalov marches on chessbase com 5 March 2006 Retrieved 13 December 2017 Flear 2007 471ff Louis Paulsen vs Adolf Anderssen 1862 www chessgames com Retrieved 13 December 2017 NN vs Gioachino Greco 1620 www chessgames com Retrieved 13 December 2017 Purdy 2003 140 Bibliography Alburt Lev 1996 Rules What Rules Part I Chess Life December 18 19 Alekhine Alexander 1961 The Book of the New York International Chess Tournament 1924 Dover Angos Alex 2005 You Move I Win A Lesson in Zugzwang Thinkers Press Inc ISBN 978 1 888710 18 2 Averbakh Yuri 1977 Bishop Endings Batsford ISBN 0 7134 0096 X Botvinnik Mikhail 1972 Mikhail Botvinnik Master of Strategy Batsford ISBN 0 7134 6973 0 de la Villa Jesus 2008 100 Endgames You Must Know New in Chess ISBN 978 90 5691 244 4 Donaldson John 1995 Essential Chess Endings for Advanced Players Chess Digest ISBN 0 87568 263 4 Dvoretsky Mark 2006 Dvoretsky s Endgame Manual 2nd ed Russell Enterprises ISBN 1 888690 28 3 Emms John 2004 Starting Out Minor Piece Endgames Everyman Chess ISBN 1 85744 359 4 Fine Reuben 1941 Basic Chess Endings 1st ed McKay ISBN 0 679 14002 6 Fine Reuben Benko Pal 2003 Basic Chess Endings 2nd ed McKay ISBN 0 8129 3493 8 Flear Glenn 2007 Practical Endgame Play beyond the basics Everyman Chess ISBN 978 1 85744 555 8 Kasparov Garry 2004 My Great Predecessors part III Everyman Chess ISBN 978 1 85744 371 4 Kasparov Garry 2006 My Great Predecessors part V Everyman Chess ISBN 1 85744 404 3 Mednis Edmar 1990 Practical Bishop Endings Chess Enterprises ISBN 0 945470 04 5 Muller Karsten Pajeken Wolfgang 2008 How to Play Chess Endings Gambit Publications ISBN 978 1 904600 86 2 Nunn John 2007 Secrets of Practical Chess 2nd ed Gambit Publications ISBN 978 1 904600 70 1 Nunn John 2009 Understanding Chess Endgames Gambit Publications ISBN 978 1 906454 11 1 Purdy C J S 2003 C J S Purdy on the Endgame Thinker s Press ISBN 978 1 888710 03 8 Reinfeld Fred 1947 Reinfeld on the End game in Chess Dover Publications Rogers Ian January 2010 The Lazy Person s Guide to Endgames Chess Life 2010 1 37 41Further reading editBenko Pal Opposite Colored Bishops Chess Life November 2007 56 57 Dvoretsky Mark Yusupov Artur 2008 Secrets of Endgame Technique Olms pp 64 81 ISBN 978 3 283 00517 7External links editEdgar Walther vs Bobby Fischer 1959 Fischer draws two pawns down Retrieved from https en wikipedia org w index php title Opposite colored bishops endgame amp oldid 1203506024, wikipedia, wiki, book, books, library,

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