Threefold repetition

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This article uses algebraic notation to describe chess moves.

In chess and some other abstract strategy games, the threefold repetition rule (also known as repetition of position) states that a player can claim a draw if the same position occurs three times, or will occur after their next move, with the same player to move, and with each player having the same set of legal moves each time, including the possible rights to capture en passant and to castle. The game is not automatically drawn if this happens: one of the players, on their move, must claim the draw with the arbiter.

Contents

[edit] The rule

The relevant rule in the FIDE laws of chess is 9.2, which reads:

The game is drawn, upon a correct claim by the player having the move, when the same position, for at least the third time (not necessarily by sequential repetition of moves)
a. is about to appear, if he first writes his move on his scoresheet and declares to the arbiter his intention to make this move, or
b. has just appeared, and the player claiming the draw has the move.
Positions as in (a) and (b) are considered the same, if the same player has the move, pieces of the same kind and colour occupy the same squares, and the possible moves of all the pieces of both players are the same.
Positions are not [considered to be] the same if a pawn that could have been captured en passant can no longer be captured or if the right to castle has been changed. (FIDE 2005, Article 9.2)

While the rule does not require that the position occur thrice on nearly consecutive moves, it happens this way very often in practice, typically with one of the kings being put into perpetual check. The intermediate positions and moves don't matter – they can be the same or different. The rule applies to positions, not moves.

[edit] Examples

The seventeenth [1], eighteenth [2], and twentieth [3] games of the 1972 World Championshop match between Bobby Fischer and Boris Spassky were declared draws because of threefold repetition, although the twentieth game was an incorrect claim (see below).

[edit] Fischer versus Petrosian, 1971

Fischer-Petrosian, 1971.
Image:chess zhor 26.png
Image:chess zver 26.png a8 b8 c8 d8 e8 f8 g8 h8 Image:chess zver 26.png
a7 pd b7 pd c7 d7 e7 f7 pd g7 h7 kd
a6 b6 c6 pd d6 e6 f6 qd g6 h6 pd
a5 b5 c5 d5 rd e5 f5 pl g5 h5
a4 b4 c4 d4 e4 f4 rl g4 h4
a3 b3 c3 d3 e3 f3 g3 h3 pl
a2 pl b2 c2 pl d2 e2 ql f2 pl g2 h2
a1 b1 c1 d1 e1 f1 g1 h1 kl
Image:chess zhor 26.png
Position after 30. Qe2, after 32. Qe2, and after 34. Qe2.

In the third game of the 1971 Candidates Final Match between Bobby Fischer and Tigran Petrosian, Petrosian (with a better position) accidentally allowed a position to be repeated three times (see diagram). Play continued:

  • 30... Qe5
  • 31. Qh5 Qf6
  • 32. Qe2 (second time) Re5
  • 33. Qd3 Rd5?

and then Fischer wrote his next move

  • 34. Qe2 (third time)

on his scoresheet, which is the third appearance of the position with Black to move, and he claimed a draw. [4] At first Petrosian was not aware of what was going on. Incidentally, this was the first time a draw by three-fold repetition had been claimed in his career (Plisetsky & Voronkov 2005:283-84), (Kasparov 2004:422-23), (Byrne 1971:682).

[edit] Adams versus Ponomariov, 2005

Players sometimes repeat a position once not in order to draw, but to gain time on the clock (when an increment is being used) or to bring themselves closer to the time control (at which point they will receive more time). Occasionally, players miscount and inadvertently repeat the position more than once, thus allowing their opponent to claim a draw in an unfavourable position. Adams-Ponomariov, Wijk aan Zee 2005 may have been a recent example of this (Friedel 2005).

[edit] Capablanca versus Lasker, 1921

Capablanca-Lasker, 1921
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Image:chess zver 26.png a8 b8 c8 d8 e8 f8 kd g8 h8 Image:chess zver 26.png
a7 pd b7 c7 d7 e7 f7 pd g7 h7
a6 b6 pd c6 d6 e6 qd f6 g6 h6
a5 b5 c5 d5 e5 f5 rl g5 ql h5 pd
a4 b4 c4 d4 e4 f4 g4 nd h4
a3 b3 c3 d3 e3 pl f3 g3 h3
a2 pl b2 pl c2 d2 e2 f2 g2 h2
a1 b1 c1 d1 e1 f1 g1 kl h1
Image:chess zhor 26.png
The position after 34... h5 and again after 36... Kf8 and 38...Kf8. A draw was not claimed.

As noted above, one of the players must claim a draw by threefold repetition for the rule to be applied, otherwise the game continues. In the fifth game of the 1921 World Chess Championship match between Jose Capablanca and Emanuel Lasker, the same position occurred three times, but no draw was claimed. From the position in the diagram, after 34... h5, the moves were:

  • 35. Qd8+ Kg7
  • 36. Qg5+ Kf8 (second time)
  • 37. Qd8+ Kg7
  • 38. Qg5+ Kf8 (third time)

The game continued and Lasker resigned on move 46. (Capablanca went on to win the match and became world champion.)

[edit] Alekhine versus Lasker, 1914

Alekhine-Lasker, Moscow 1914.
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Image:chess zver 26.png a8 rd b8 c8 d8 qd e8 f8 rd g8 h8 kd Image:chess zver 26.png
a7 pd b7 c7 pd d7 e7 bd f7 g7 h7
a6 b6 c6 d6 e6 pd f6 nd g6 ql h6 pd
a5 b5 c5 d5 pd e5 f5 g5 h5
a4 b4 c4 d4 e4 f4 g4 h4
a3 b3 c3 nl d3 bl e3 f3 g3 h3
a2 pl b2 pl c2 pl d2 e2 f2 pl g2 pl h2 pl
a1 rl b1 c1 d1 e1 f1 g1 kl h1
Image:chess zhor 26.png
Position after 16. Qg6

The first game between world champion Emanuel Lasker and future (1927) world champion Alexander Alekhine ended in a short draw, due to a forced repetition of positions: 1. e4 e5 2. Nf3 Nc6 3. d4 exd4 4. Nxd4 Nf6 5. Nc3 Bb4 6. Nxc6 bxc6 7. Bd3 d5 8. exd5 cxd5 9. O-O O-O 10. Bg5 Be6 11. Qf3 Be7 12. Rfe1 h6 13. Bxh6 gxh6 14. Rxe6 fxe6 15. Qg3+ Kh8 16. Qg6 and the players agreed to a draw because Black cannot avoid the repetition of positions: 16... Qe8 17. Qxh6+ Kg8 18. Qg5+ Kh8 19. Qh6+ (Hooper & Whyld 1992) (under Repetition of Position).

Lasker-Alekhine, St. Petersberg 1914.
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Image:chess zver 26.png a8 b8 c8 d8 e8 f8 g8 h8 rd Image:chess zver 26.png
a7 b7 c7 pd d7 e7 bd f7 pd g7 pd h7 pd
a6 b6 c6 pd d6 e6 kd f6 g6 h6
a5 b5 c5 pl d5 e5 nd f5 g5 h5
a4 b4 c4 d4 ql e4 nl f4 g4 h4
a3 b3 c3 d3 e3 f3 qd g3 h3
a2 pl b2 pl c2 pl d2 e2 f2 pl g2 h2 pl
a1 rl b1 c1 bl d1 rl e1 f1 g1 h1 kl
Image:chess zhor 26.png
Position after 22. Qf3+ and after 24. Qf3+, draw

Interestingly, these two players had another game in 1914 in which Alekhine (this time with the black pieces) again achieved a draw by a similar process (Bott & Morrison 1966:14).

[edit] Korchnoi versus Portisch, 1970

Korchnoi-Portish, 1970
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Image:chess zver 26.png a8 b8 rl c8 d8 e8 f8 g8 h8 Image:chess zver 26.png
a7 b7 c7 d7 e7 f7 nd g7 kd h7
a6 b6 c6 d6 rd e6 f6 g6 h6
a5 b5 c5 d5 e5 pd f5 g5 pd h5 kl
a4 b4 c4 d4 e4 pl f4 g4 h4 pd
a3 b3 c3 d3 e3 f3 g3 h3 nl
a2 b2 c2 d2 e2 f2 g2 h2
a1 b1 c1 d1 e1 f1 g1 h1
Image:chess zhor 26.png
Position after 64. Kh5.

A famous draw by three-fold repetition occurred in a game between Viktor Korchnoi and Lajos Portisch in 1970 in the Russia (USSR) vs Rest of the World match. Portisch allowed a three-fold repetition in a winning position and was criticized by teammate Bobby Fischer for allowing it. If Portisch had won the game, the match would have been a tie. Play continued:

  • 64... Rh6+
  • 65. Kg4 Rd6
  • 66. Kh5 Kf6
  • 67. Rb2 Kg7
  • 68. Rb8 ½-½

[edit] Kasparov versus Deep Blue, 1997

Kasparov-Deep Blue, 1997
Image:chess zhor 26.png
Image:chess zver 26.png a8 b8 c8 d8 e8 f8 g8 h8 Image:chess zver 26.png
a7 pd b7 pd c7 d7 e7 f7 g7 pl h7
a6 b6 c6 d6 e6 f6 g6 h6
a5 b5 c5 d5 e5 f5 g5 h5
a4 b4 kd c4 pd d4 e4 f4 nl g4 h4
a3 b3 nd c3 d3 e3 rl f3 g3 pl h3
a2 b2 c2 d2 rd e2 f2 g2 h2
a1 b1 kl c1 d1 e1 f1 g1 h1
Image:chess zhor 26.png
Position after 49... Kb4.

In the game Deep Blue versus Garry Kasparov#1997 Game 5, Kasparov vs. Deep Blue between Garry Kasparov and Deep Blue, the players agreed to a draw, because if White played 50. g8=Q, Black could get a draw by three-fold repetition: 50... Rd1+, 51. K-any, Rd2+ 52. Kb1 Rd1+, etc (Hsu 2002:251-52).


[edit] In the opening

Image:chess zhor 26.png
Image:chess zver 26.png a8 rd b8 c8 bd d8 qd e8 rd f8 g8 nd h8 ql Image:chess zver 26.png
a7 pd b7 pd c7 pd d7 e7 f7 kd g7 pd h7 bl
a6 b6 c6 d6 pd e6 f6 pd g6 h6
a5 b5 c5 d5 pl e5 f5 g5 h5
a4 b4 c4 d4 e4 f4 g4 pl h4 rl
a3 b3 c3 d3 e3 f3 g3 h3
a2 pl b2 pl c2 d2 e2 f2 pl g2 h2 pl
a1 rl b1 c1 d1 e1 f1 g1 kl h1
Image:chess zhor 26.png
Giuoco Piano line, after 20... Kf7

Some chess opening lines have been analyzed out to a draw by three-fold repetition, such as this position from a line of the Giuoco Piano. White has nothing better than to force a draw:

Image:chess zhor 26.png
Image:chess zver 26.png a8 rd b8 c8 d8 qd e8 kd f8 g8 h8 rd Image:chess zver 26.png
a7 pd b7 pd c7 d7 bd e7 pd f7 g7 bd h7 pd
a6 b6 c6 d6 pd e6 pd f6 g6 pd h6
a5 b5 bl c5 pd d5 e5 f5 g5 nl h5
a4 b4 c4 d4 pl e4 f4 pl g4 nd h4
a3 b3 c3 nl d3 e3 f3 g3 h3
a2 pl b2 pl c2 pl d2 e2 f2 g2 pl h2 pl
a1 rl b1 c1 bl d1 ql e1 kl f1 g1 h1 rl
Image:chess zhor 26.png
Pirc Defense line, after 9.Ng5

Another is this position from a line of the Pirc Defence. Black can get a draw after the moves 1.e4 d6 2.d4 Nf6 3.Nc3 g6 4.f4 Bg7 5.Nf3 c5 6.Bb5+ Bd7 7. e5 Ng4 8. e6 fxe6 9.Ng5 (diagram) Bxb5! 10.Nxe6 Bxd4!! 11.Nxd8 Bf2+ and White cannot escape the checks.

[edit] Incorrect claims

Karpov-Miles, Tilburg 1986.
Image:chess zhor 26.png
Image:chess zver 26.png a8 rd b8 c8 d8 e8 kd f8 bd g8 h8 rd Image:chess zver 26.png
a7 b7 c7 d7 e7 f7 pd g7 pd h7 pd
a6 b6 c6 d6 e6 pd f6 g6 h6
a5 b5 nl c5 d5 e5 f5 g5 h5
a4 b4 c4 d4 e4 pl f4 g4 h4
a3 b3 c3 d3 e3 f3 g3 h3
a2 pl b2 nd c2 d2 bl e2 kl f2 g2 pl h2 pl
a1 rl b1 c1 d1 e1 f1 g1 h1 rl
Image:chess zhor 26.png
Position after 22. Nb5, 24. Nb5, and 26. Nb5

The clause about the right to take en passant and the right to castle is a subtle but important one. In a game between grandmasters Anatoly Karpov and Anthony Miles (Tilburg 1986), Karpov had less than five minutes remaining on his clock, in which to finish a specified number of moves or forfeit the game. He claimed a draw by repetition after checking his scoresheet carefully, whereupon it was pointed out to him that in the first occurrence of position, Black's king had had the right to castle, whereas in the second and third it had not. Tournament rules stipulated that a player be penalized with three minutes of their time for incorrect claims, which left Karpov's flag on the verge of falling! By then, Miles had had his fun, and took the draw. See the diagram for the position after 22. Nb5. The game continued 22. ... Ra4 23. Nc3 Ra8 24. Nb5 Ra4 25. Nc3 Ra8 26. Nb5. Black could castle queenside the first time the position in the diagram occurred, but not when the position was repeated.

Fischer-Spassky, 1972.
Image:chess zhor 26.png
Image:chess zver 26.png a8 b8 c8 d8 e8 f8 g8 h8 Image:chess zver 26.png
a7 b7 c7 d7 e7 f7 g7 h7
a6 b6 c6 d6 kd e6 f6 g6 bd h6
a5 b5 pd c5 d5 e5 pd f5 g5 h5 pd
a4 pd b4 c4 d4 nd e4 f4 g4 pd h4
a3 pl b3 c3 kl d3 e3 nl f3 g3 pl h3
a2 b2 pl c2 pl d2 e2 f2 g2 h2 pl
a1 b1 c1 d1 e1 nl f1 g1 h1
Image:chess zhor 26.png
Final position.

In the twentieth game of the Bobby Fischer versus Boris Spassky World Chess Championship 1972, Fischer claimed a draw because of threefold repetition. Spassky did not dispute it and the arbiter Lothar Schmid agreed. After the draw had been agreed, it was pointed out that the position had occurred after White's forty-eighth and fiftieth moves, and again after Black's fifty-fourth move (the final position). So the claim was actually invalid because it was not the same player's turn to move in all three instances, but the draw result stood (Alexander 1972:137-38).

[edit] History

Pest-Paris
Image:chess zhor 26.png
Image:chess zver 26.png a8 b8 rd c8 d8 e8 f8 rd g8 kd h8 Image:chess zver 26.png
a7 pd b7 c7 bd d7 e7 f7 g7 pd h7 pd
a6 b6 nd c6 pd d6 e6 f6 g6 h6
a5 b5 c5 nl d5 e5 f5 bd g5 h5
a4 b4 c4 pd d4 pl e4 f4 g4 h4
a3 b3 c3 nl d3 e3 f3 g3 h3
a2 pl b2 pl c2 d2 e2 rl f2 pl g2 pl h2 pl
a1 rl b1 c1 bl d1 e1 f1 g1 kl h1
Image:chess zhor 26.png
Position after 19. Nc5. It recurred after White's twenty-first and twenty-third move.

At various times in the history of chess, the rule has been variously formulated. In Tim Harding's MegaCorr database (a collection of correspondence chess games), the notes to a game between the cities of Pest and Paris played between 1842 and 1845 state that a sixfold repetition was necessary to claim a draw. The game went: 1.e4 e5 2.Nf3 Nf6 3.Nxe5 d6 4.Nf3 Nxe4 5.d4 d5 6.Bd3 Bd6 7.O-O O-O 8.c4 Be6 9.Qc2 f5 10.Qb3 dxc4 11.Qxb7 c6 12.Bxe4 fxe4 13.Ng5 Bf5 14.Nc3 Qd7 15.Qxd7 Nxd7 16.Ngxe4 Bc7 17.Re1 Rab8 18.Re2 Nb6 19.Nc5 Bd6 20.N5e4 Bc7 21.Nc5 Bd6 22.N5e4 Bc7 23.Nc5 Bd6 24.N5e4 Bc7 25.Nc5 Bd6 26.N5e4 Bc7 27.Nc5 and now instead of taking the sixfold repetition draw with 27...Bd6 28.N5e4 Bc7, Paris diverged with 27...Bd3 and went on to lose the game.

The first use of such a rule was in a tournament was in London in 1883, but was stated vaguely:

... if a series of moves be repeated three times the opponent can claim a draw.

The rule was stated more precisely after the tournament and was based on positions instead of moves. The rules for the first official World Chess Championship 1886 match between Wilhelm Steinitz and Johannes Zukertort stated:

... if both players repeat the same series of moves six times in succession, then either player may claim a draw.

In two of the games the same position was repeated three times. The rule was modified soon afterward to be based on positions instead of moves and for three repetitions (McCrary 2004).

[edit] Related rules

[edit] See also

[edit] Notes

  1. ^ http://www.chessgames.com/perl/chessgame?gid=1044731 Spassky-Fischer, 17th game
  2. ^ http://www.chessgames.com/perl/chessgame?gid=1044371 Fischer-Spassky, 18th game
  3. ^ http://www.chessgames.com/perl/chessgame?gid=1044372 Fischer-Spassky, 20th game
  4. ^ Different sources give different moves near the end. Plisetsky & Voronkov and Kasparov give 32... Re5 33. Qh5 Rd5. ChessBase gives 32... Qe5 33. Qh5 Qf6. ChessGames.com and Chess Life (11/1971 and 12/1971) give 32... Re5 33. Qd3 Rd5. The December 1971 Chess Life also discusses how the intermediate moves were different, and that Petrosian seemed unaware that he was going to allow a three-fold repetition.

[edit] References

[edit] External links

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