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Draw by agreement

From Wikipedia, the free encyclopedia

A game of chess can end in a draw by agreement. A player may offer a draw at any stage of a game; if the opponent accepts, the game is a draw.[1] In some competitions, draws by agreement are restricted; for example draw offers may be subject to the discretion of the arbiter, or may be forbidden before move 30 or 40, or even forbidden altogether. The majority of draws in chess are by agreement.[2]

Under FIDE rules, a draw should be offered after making the move and before pressing the clock, then marked in the scoresheet as (=). However, draw offers made at any time are valid. If a player offers a draw before making a move, the opponent has the option of requesting a move before deciding whether or not to accept the offer. Once made, a draw offer cannot be retracted and is valid until rejected.

A player may offer a draw by asking, "Would you like a draw?", or similar; the French word remis (literally "reset") is internationally understood as a draw offer and may be used if the players do not share a common language. Players may also offer draws and accept draw offers by merely nodding their heads.[3] A draw may be rejected either verbally or by making a move.

A draw by agreement after less than twenty moves where neither player makes a serious effort to win is colloquially known as a "grandmaster draw". Many chess players and organizers disapprove of grandmaster draws, and efforts have been made to discourage them, such as forbidding draw offers before move 30.[4] However, professional players have defended grandmaster draws, saying they are important to conserve energy during a tournament.

Etiquette

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Although a draw may be offered at any time, an illogical offer runs the risk of violating article 11.5, which states: "It is forbidden to distract or annoy the opponent in any manner whatsoever. This includes [...] unreasonable offers of a draw[.]" This rule is applied with the arbiter's discretion; for example, a player loudly offering a draw while the opponent is thinking may well suffer a time penalty or even forfeit the game, but it is unlikely that a player would be penalized for offering a draw in a lifeless position when it is not their turn to move.[5]

At one time, chess players considered it bad manners to play out a superior but theoretically drawn endgame. In such cases, the superior side was expected to offer a draw.[6]

There are certain behavioural norms relating to draw offers not codified in the FIDE Laws of Chess but widely observed. For example, many consider it bad manners for a player who has offered a draw once to do so again before their opponent has offered a draw. Such repeated offers of a draw have also sometimes been considered distracting enough to warrant the arbiter taking action under article 11.5.

Reshevsky vs. Mastichiadis, 1950
abcdefgh
8
c8 black bishop
e8 black rook
g8 black king
b7 black pawn
d7 black knight
e7 black queen
f7 black pawn
c6 black pawn
g6 black pawn
h6 black pawn
b5 white pawn
d5 black pawn
d4 white pawn
g4 black knight
c3 white knight
d3 white bishop
e3 white pawn
f3 white knight
g3 white pawn
b2 white queen
f2 white pawn
g2 white pawn
a1 white rook
g1 white king
8
77
66
55
44
33
22
11
abcdefgh
Position before 24.Nd2

It is considered bad etiquette to offer a draw in a clearly lost position[7][8] or even when one has no winning chances but one's opponent does.[9] Garry Kasparov regularly criticizes grandmasters who offer a draw when their position is worse.[10] However, such offers are sometimes used as psychological tricks. The position in the diagram arose in the game Samuel ReshevskyFotis Mastichiadis, Dubrovnik 1950. Reshevsky played 24.Nd2?, and saw at once that he would be put into a very bad situation with 24...Nxf2. Thinking quickly, he offered a draw to his opponent, who was busy writing down the move in his scoresheet. Mastichiadis, a minor master, was so happy to get half a point against his illustrious opponent that he did not pause to examine the position before accepting the offer.

The rule about the procedure of offering a draw was violated in a 1981 game between Garry Kasparov and Anatoly Karpov. Kasparov moved 17. Ra2 and offered a draw. Karpov instantly replied 17... Be7 and then said "Make a move!", which is a violation of the rule. Kasparov moved 18. b5 and then Karpov accepted the draw.[11]

Petrosian vs. Fischer, 1958
abcdefgh
8
g8 black rook
f7 white pawn
g6 white pawn
g5 white king
c3 black pawn
c2 black king
8
77
66
55
44
33
22
11
abcdefgh
Final position after 67.f7, draw agreed

In the 1958 game between Tigran Petrosian and Bobby Fischer, Fischer offered a draw without making a move first, which was accepted by Petrosian.[12] He explains in his book My 60 Memorable Games:

I offered a draw, not realizing it was bad etiquette. It was Petrosian's place to extend the draw offer after 67...Rxg6+ [...] 68.Kxg6 Kb1 69.f8=Q c2 with a book draw.[13] (See queen versus pawn endgame.)

Practical considerations

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Petrosian vs. Korchnoi, 1977, game 12
abcdefgh
8
b8 black queen
b7 black bishop
e7 black king
f7 black pawn
h7 black rook
b6 black pawn
d6 black pawn
g6 black pawn
b5 white pawn
e5 black pawn
c4 white pawn
g4 white pawn
f3 white pawn
d2 white queen
e2 white bishop
g2 white king
a1 white rook
8
77
66
55
44
33
22
11
abcdefgh
Black is winning but offered a draw.

Players sometimes make draw offers in consideration of outside factors. In 1977 Viktor Korchnoi and former World Champion Tigran Petrosian played a twelve-game quarter-final Candidates Match to ultimately determine the challenger for the 1978 World Championship. After eleven games, Korchnoi was leading by one point, so he only needed a draw in the final game to advance to the semi-finals. Korchnoi, as Black, was winning this game, but he offered a draw after 40 moves.[14] According to Edmar Mednis, it was "gentlemanly and the practical thing to do".[15] Korchnoi went on to unsuccessfully challenge Anatoly Karpov for the World Championship.

Sometimes, time constraints for one or both of the players may be a factor in agreeing to a draw. A player with an advantageous position but limited time may be agreeable to a draw to avoid risking a loss from running out of time, and the opponent may also be agreeable to a draw due to their disadvantageous position.

Grandmaster draw

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A grandmaster draw or short draw is a draw reached after very few moves, usually between high-ranked players. British master P. H. Clarke wrote about the positive aspects of a short draw:

Unless you are of the calibre of Botvinnik – and who is – you cannot hope to play at full power day after day. The technical[16] draws are a necessary means of conserving energy. As such, they contribute to raising the standard of play rather than lowering it.[17]

All of the games of the second Piatigorsky Cup were annotated by players, including the short draws. Their comments on two short draws follow (Spassky vs. Petrosian and Reshevsky vs. Portisch), followed by comments on some other short draws.

Spassky vs. Petrosian

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Spassky vs. Petrosian, 1966
abcdefgh
8
e8 black bishop
b7 black pawn
e7 black king
f7 black pawn
h7 black pawn
a6 black pawn
d6 black pawn
f6 black knight
g6 black pawn
c4 white bishop
d4 white knight
e3 white pawn
h3 white pawn
a2 white pawn
b2 white pawn
e2 white king
f2 white pawn
g2 white pawn
8
77
66
55
44
33
22
11
abcdefgh
Drawn on the 22nd move

Boris Spassky wrote:

The present game once again demonstrates how grandmasters play when they do not care to win. Of course, it is not an interesting spectacle for the onlookers. However, if chess enthusiasts could find themselves in the positions of the grandmasters they would not judge them so severely.[18]

Reshevsky vs. Portisch

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Reshevsky vs. Portisch, 1966
abcdefgh
8
a8 black rook
d8 black queen
f8 black rook
g8 black king
e7 black bishop
f7 black pawn
g7 black pawn
h7 black pawn
c6 black bishop
e6 black pawn
f6 black knight
a5 black pawn
e5 black knight
g5 white bishop
d4 white pawn
c3 white knight
d3 white bishop
b2 white pawn
e2 white queen
f2 white pawn
g2 white pawn
h2 white pawn
a1 white rook
d1 white rook
g1 white king
8
77
66
55
44
33
22
11
abcdefgh
Drawn after the 16th move

Lajos Portisch wrote:

Here Reshevsky offered me a draw, which was accepted. Is this a grandmaster draw? I do not think so. Reshevsky had consumed most of his time, and had only 30 minutes for the remaining moves. On my part it would have been pointless to rely on his time trouble as I saw that after 17. dxe5 Nd5 18. Bxe7 Qxe7 19. Nxd5 Bxd5 20. Be4,[19] the draw is evident. In such a strong tournament and against such outstanding players it would not be wise to try to win a game of this kind. One could only lose energy. Neither side had any advantage, so why try to force the issue?[20]

Averbakh vs. Fischer

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Averbakh vs. Fischer, 1958
abcdefgh
8
a8 black rook
g8 black king
d7 black knight
f7 black pawn
g7 white pawn
a6 black pawn
d6 black pawn
g6 black pawn
h6 black pawn
c5 black pawn
d5 white pawn
c4 white pawn
e4 black rook
h4 black queen
e3 white bishop
a2 white pawn
b2 black pawn
e2 white bishop
f2 white pawn
b1 white rook
d1 white queen
f1 white king
g1 white rook
8
77
66
55
44
33
22
11
abcdefgh
Draw agreed after 21.Rb1

In the 1958 game[21] between Yuri Averbakh and Bobby Fischer, the players agreed to a draw in an unclear position where White is a piece ahead. Asked about the draw, the teenage Fischer said, "I was afraid of losing to a Russian grandmaster and he was afraid of losing to a kid."[22] Averbakh stated that Fischer offered the draw and that each player had only about ten minutes to make the 19 or 20 moves before time control.

Karpov vs. Kasparov

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Karpov vs. Kasparov, 1984
abcdefgh
8
a8 black rook
d8 black queen
f8 black rook
g8 black king
a7 black pawn
b7 black bishop
d7 black knight
e7 black bishop
f7 black pawn
g7 black pawn
h7 black pawn
e6 black pawn
f6 black knight
c5 black pawn
a4 white knight
d4 white pawn
a3 white pawn
e3 white pawn
f3 white knight
b2 white bishop
e2 white bishop
f2 white pawn
g2 white pawn
h2 white pawn
a1 white rook
d1 white queen
f1 white rook
g1 white king
8
77
66
55
44
33
22
11
abcdefgh
Position after 13...c5, draw agreed

Several short draws occurred in the World Chess Championship 1984 between Anatoly Karpov and Garry Kasparov. This one occurred in the 29th game after thirteen moves.[23] Kasparov explains

Draw agreed on Black's proposal: with the resulting complete symmetry, the fighting resources are practically exhausted.

White had used 99 minutes; Black had used 51 minutes.[24]

Keres vs. Petrosian

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Keres vs. Petrosian, 1962
abcdefgh
8
a8 black rook
f8 black rook
g8 black king
b7 black pawn
d7 black queen
e7 black pawn
f7 black pawn
g7 black bishop
h7 black pawn
d6 black knight
g6 black pawn
a5 black pawn
g5 white bishop
b4 white queen
e4 white pawn
c3 white knight
f3 white pawn
a2 white pawn
b2 white pawn
g2 white pawn
h2 white pawn
a1 white rook
e1 white king
h1 white rook
8
77
66
55
44
33
22
11
abcdefgh
Position after 14...a5, draw agreed

In 1962 a Candidates Tournament was held in Curaçao to determine the challenger to Mikhail Botvinnik in the 1963 World Championship. There is good evidence that Soviet players Tigran Petrosian, Paul Keres, and Efim Geller arranged to draw all of the games between themselves. The twelve games played between these three players were all short draws, averaging 19 moves.[25]

This diagram shows the final position from the shortest one – only fourteen moves were played. This was in the 25th of 28 rounds, and the final game between Keres and Petrosian.[26] Bobby Fischer charged that Petrosian accepted a draw when he was winning and Jan Timman agrees. Petrosian went on to win the tournament and win the championship from Botvinnik.[27]

Tal vs. Botvinnik

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Tal vs. Botvinnik, 1960
abcdefgh
8
d8 black knight
e8 black rook
f8 black rook
g8 black king
a7 black pawn
c7 black pawn
d7 black queen
g7 black pawn
h7 black pawn
b6 black pawn
d6 black pawn
e6 black pawn
f6 black bishop
d5 white pawn
f5 black pawn
c4 white pawn
f4 white knight
b3 white pawn
f3 white queen
g3 white pawn
a2 white pawn
b2 white bishop
e2 white pawn
f2 white pawn
h2 white pawn
d1 white rook
f1 white rook
g1 white king
8
77
66
55
44
33
22
11
abcdefgh
Position after 17...Nd8, draw

In the 21st of 24 games of the 1960 World Chess Championship between Mikhail Tal and Mikhail Botvinnik,[28] Tal only needed a half point to win the title, so he got to a position where Black had no winning chances, and quickly agreed to a draw.

Polugaevsky vs. Tal

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In the 1967 USSR Championship, Lev Polugaevsky and Mikhail Tal were leading with the same number of points going into the next-to-last round. They played each other that round. After

1. d4 Nf6
2. c4 e6

Polugaevsky offered a draw. Tal explains

I played 2...e6 and Lev offered me a draw. I accepted, although for decency's sake we made a further 12 moves or so, and the question of first place was put off until the last round..[29]

Kasparov vs. Karpov

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Kasparov vs. Karpov, 1986
abcdefgh
8
c8 black rook
d8 black rook
g8 black king
e7 black bishop
f7 black pawn
g7 black pawn
h7 black pawn
b6 black queen
e6 black pawn
f6 black knight
b4 black pawn
d4 white knight
b3 white queen
e3 white pawn
g3 white pawn
b2 white pawn
d2 white rook
f2 white pawn
g2 white bishop
h2 white pawn
a1 white rook
g1 white king
8
77
66
55
44
33
22
11
abcdefgh
After 21...Qb6, draw agreed

Before the 20th game of the 1986 World Championship, Kasparov had just lost three games in a row, which evened the match score. Kasparov had White in the 20th game, in which a draw was agreed after 21 moves. White had used 1 hour and 11 minutes; Black used 1 hour and 52 minutes.[30] Kasparov writes "In the 20th game we decided in the end 'not to play' (i.e. to aim for a short draw) [...] A typical grandmaster draw, although one can understand the two players – each fulfilled the objective he had set himself before the game."[31] Kasparov did not want to lose a fourth game in a row, and Karpov wanted to draw as Black.

Kasparov vs. Smyslov

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Kasparov had this to say about one of the games of his 1984 match against Vasily Smyslov: "It all ended in a 'planned' draw, and I was not exactly delighted with such a pre-programmed result."[32]

Steps taken to discourage draws

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Although many games logically end in a draw after a hard-fought battle between the players, there have been attempts throughout history to discourage or completely disallow draws. Chess is the only widely played sport where the contestants can agree to a draw at any time for any reason.

Because "grandmaster draws" are widely considered unsatisfactory both for spectators (who may only see half-an-hour of play with nothing very interesting happening) and sponsors (who suffer from decreased interest in the media), various measures have been adopted over the years to discourage players from agreeing to draws.

Only theoretical draws allowed (Sofia Rules)

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Chess trainer Mark Dvoretsky, writing in a column for the website Chess Cafe,[33] suggested that agreed draws should not be allowed at all, pointing out that such an agreement cannot be reached in other sports such as boxing. Although some have claimed that outlawing agreed draws entirely requires players to carry on playing in "dead" positions (where no side can reasonably play for a win), Dvoretsky says that this is a small problem and that the effort required to play out these positions until a draw can be claimed by repetition or lack of material, for example, is minimal.

The Sofia 2005 tournament employed a similar rule, which has become known as "Sofia rules".[34] The players could not draw by agreement, but they could have draws by stalemate, threefold repetition, the fifty-move rule, and insufficient material. Other draws are only allowed if the arbiter declares it is a drawn position.

Also known as the "Sofia-Corsica Rules", the anti-draw measure was adopted in the Bilbao Final Masters[35] and the FIDE Grand Prix 2008–2010 (part of the qualifying cycle for the World Chess Championship 2012) did not allow players to offer a draw. The draw had to be claimed with the arbiter, who was assisted by an experienced grandmaster. The following draws were only allowed through the Chief Arbiter:[36]

  • Threefold repetition of position
  • Fifty-move rule
  • Perpetual check
  • A theoretical draw

No draw offers before a certain move

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In 1929, the first edition of the FIDE Laws of Chess required thirty moves to be played before a draw by agreement. This rule was discarded when the rules were revised in 1952. In 1954 FIDE rejected a request to reinstate the rule, but it did state that it is unethical and unsportsmanlike to agree to a draw before a serious contest had begun. FIDE stated that the director should discipline players who repeatedly disrespect this guideline, but it seemed to have no effect on players. In 1962 FIDE reinstated a version of the rule against draws by agreement in fewer than thirty moves, with the director allowing them in exceptional circumstances. FIDE had the intention of enforcing the rule and the penalty was a loss of the game by both players. However, players ignored it or got around it by intentional threefold repetition. Directors were unable or unwilling to enforce the rule. In 1963 FIDE made another attempt to strengthen the rule. Draws by agreement before thirty moves were forbidden, and the penalty was forfeit by both players. Directors were to investigate draws by repetition of position to see if they were to circumvent the rule. The rule was dropped in 1964 because it was decided that it had not encouraged aggressive play.[37][38]

In 2003, GM Maurice Ashley wrote an essay "The End of the Draw Offer?", which raised discussion about ways to avoid quick agreed draws in chess tournaments. Ashley proposed that draw offers not be allowed before move 50.[39]

The 2003 Generation Chess International Tournament in New York City had a rule that draws could not be agreed to before move fifty (draws by other means, such as threefold repetition or stalemate, were permissible at any stage).

In the World Chess Championship 2016 and 2018, the players were not permitted to agree a draw before move 30. In the 2021 and 2023 championships, this was extended to move 40.

Replay the game (gladiator chess)

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In the very first international round-robin tournament in London in 1862, drawn games had to be replayed until there was a decisive result.[40] A similar format, called gladiator chess, was introduced in the Danish Chess Championships 2006.

Proposed cure for severe acute "drawitis" by FIDE officials Eliminates draws completely by forcing a fast time control game to be played after an accepted draw proposal to ensure there is always a winner and a loser. One potential issue for this proposal is that both players can quickly agree to a draw in the tournament game and then play a speed chess game to decide things. The FIDE 128 player tournament has seen many matches where the two tournament time control games are drawn and advancement is decided by rapid (thirty minutes for a game) or blitz (five minutes) games.

Alternative scoring systems

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3-1-0 scoring system

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The 3-1-0 scoring system awards three points for a win, one point for a draw, and no points for a loss. This system discourages draws, since draws are worth only two-thirds of their previous value. It was adopted by FIFA for football matches in 1994, after many leagues around the world had used it successfully to reduce the number of stalling draws. FIFA formerly employed the 2-1-0 scoring system, which is equivalent to that used generally in chess today: one point for a win, half a point for a draw, and no points for a loss. A 3-1-0 system was first used in the 2003 Lippstadt chess tournament and again in the 2008 Bilbao chess tournament.[41]

At the 1964 FIDE Congress, the Puerto Rican delegate proposed that a win be given four points, a draw be given two points, a game played and lost one point, and no points for a forfeit. This would be equivalent to a 3-1-0 system with a 1 point penalty for forfeit. This had been suggested previously by Isaac Kashdan but was not implemented.[42]

This system has received some criticism. GM Larry Kaufman points out that the reason for the high draw rate is not one of incentives, but rather the nature of chess as a game: White has a first-move advantage, but it is not enough to win by force. He thus argues that Black should consider a draw to be a good result, and should not be penalised for it: under the 3-1-0 system, Kaufman argues that chess would become like "a game of 'chicken'; who will 'blink' first and play an unsound move to avoid the mutually bad result of a draw?".[43] It has also been pointed out that the 3-1-0 system incentivises players to trade wins with each other instead of agreeing to draws,[44] and gives players an easier time cheating as a team. (A team of players enters an open event; one of them is selected to obtain the maximum score and portion of the prize fund, and the others throw their games to that player; the prize is then shared among the team. This is easier to do when a win earns more points.)[45]

BAP scoring system

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The BAP System was designed to make it undesirable for one or both players to agree to a draw by changing the point value of win/loss/draw based on color played: three points for winning as Black, two points for winning as White, one point for drawing as Black, and no points for drawing as White or for losing as either White or Black.

The BAP System was developed by Clint Ballard, a chess aficionado and software-company president, who named it the Ballard Anti-draw Point system (BAP).[46] Ballard explained the purpose of the BAP System: "The usual flurry of last round draws in almost all tournaments makes chess unmarketable on TV. No excitement, no drama, no TV money for chess. Chess will NEVER succeed in the American TV market until we eliminate the draw as anything other than a very rare outcome. With my anti-draw point system, I am hoping to make 100% of games fighting games with risk and uncertainty, i.e. dramatic potential."[47]

The BAP System was first used in the 2006 Bainbridge Slugfest tournament.[48]

Other scoring systems

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There have been proposals that certain kinds of draws should be worth more points than others. Ed Epp has suggested that draws should be scored as 0.4–0.6 to compensate for White's first-move advantage.[43] Many players, including former world champions Emanuel Lasker and José Raúl Capablanca, have argued that stalemate should be worth more than a normal draw, with three-quarters of a point for a side delivering stalemate (one-quarter of a point going to the side who is stalemated). Kaufman and Arno Nickel have suggested that stalemate and bare king should both be scored as ¾ to the superior side, and that a player who brings about threefold repetition should only be awarded ¼ of a point, citing engine statistics to argue that this would be sufficient to solve the draw death problem (in the trial games simulating human World Championship level, the draw rate was decreased by these rule changes from 65.6% to 22.6%).[43]

Financial penalties

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In the previously mentioned 2003 Generation Chess International Tournament, players agreeing to premature draws were to be fined 10% of their appearance fee and 10% of any prize money won. In a similar vein, the tournament organiser Luis Rentero (best known for organising the very strong tournaments in Linares) has sometimes enforced a rule whereby draws cannot be agreed to before move thirty.

Other

[edit]

In 2005, GM John Nunn wrote that he believed the rules did not need to change, and that the simple solution was for organizers to not invite players known for taking short draws.[49]

References

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  1. ^ "FIDE Handbook E. Miscellaneous / 01. Laws of Chess / FIDE Laws of Chess taking effect from 1 January 2018". FIDE. Retrieved 12 July 2020.
  2. ^ (Schiller 2003:26–27)
  3. ^ (Schiller 2003:26–27)
  4. ^ (Hooper & Whyld 1996)
  5. ^ (Schiller 2003:26–27, 30)
  6. ^ (Mednis 1990:61, 68)
  7. ^ (Benjamin 2006:30)
  8. ^ (Krush 2011:54)
  9. ^ (Burgess 2000:461)
  10. ^ (Peterson 2009:36)
  11. ^ (Kasparov 2008:32)
  12. ^ "Tigran Vartanovich Petrosian vs Robert James Fischer (1958)". www.chessgames.com.
  13. ^ (Fischer 2008:31)
  14. ^ "Tigran Vartanovich Petrosian vs Viktor Korchnoi (1977)". www.chessgames.com.
  15. ^ (Mednis 1993:206–7)
  16. ^ Normally a "technical draw" is not a draw by agreement and is due to the impossibility of checkmate.
  17. ^ (Evans 1970:85–86)
  18. ^ (Kashdan 1968:119–20)
  19. ^ Converted from the book's descriptive chess notation 17. PxN N-Q4 18. BxB QxB 19. NxN BxN 20. B-K4
  20. ^ (Kashdan 1968:52)
  21. ^ "Yuri Averbakh vs Robert James Fischer (1958) Mutually Assured Drawstruction". www.chessgames.com.
  22. ^ (Evans 1970:86)
  23. ^ Karpov vs. Kasparov Archived January 19, 2010, at the Wayback Machine
  24. ^ (Kasparov 2008:167–68)
  25. ^ (Timman 2005:25ff)
  26. ^ "Paul Keres vs Tigran Vartanovich Petrosian (1962)". www.chessgames.com.
  27. ^ (Timman 2005:185–86)
  28. ^ "Mikhail Tal vs Mikhail Botvinnik (1960)". www.chessgames.com.
  29. ^ (Tal 2003:338)
  30. ^ "Garry Kasparov vs Anatoly Karpov (1986)". www.chessgames.com.
  31. ^ (Kasparov 2009:201, 205)
  32. ^ (Kasparov 2011:469)
  33. ^ "GrandMaster Square >>> Draw proposal from GM Mark Dvoretsky". www.gmsquare.com. Retrieved 2016-05-02.
  34. ^ Sofia rule Archived 2018-09-28 at the Wayback Machine Chessdom, 2007
  35. ^ "Final Chess Masters Bilbao 2008. Competition rules". Archived from the original on 2008-08-03. Retrieved 2008-09-04. Bilbao Final Masters 2009 regulations
  36. ^ Grand Prix Regulations, section 4.4, FIDE web site, accessed May 2, 2008
  37. ^ (Harkness 1967:50–52)
  38. ^ (Just & Burg 2003:xxiv)
  39. ^ Ashley, Maurice. "The End of the Draw Offer?". www.thechessdrum.net. Retrieved 2023-02-11.
  40. ^ 1862 London Tournament, Mark Weeks' Chess Pages
  41. ^ "Final Chess Masters Bilbao 2008. Competition rules". Archived from the original on 2008-08-03. Retrieved 2008-09-04.
  42. ^ (Harkness 1967:52)
  43. ^ a b c Kaufman, Larry (2020). Kaufman's New Repertoire for Black and White. New in Chess. pp. 211–217. ISBN 978-9-056-91862-0.
  44. ^ Dorfman, Ron (28 October 2007). "The 'Bilbao Draw' – how it doesn't solve the problem". chessbase.com. ChessBase. Retrieved 21 January 2024.
  45. ^ Friedel, Frederic (6 November 2007). "The Bilbao Draw – feedback from our readers". chessbase.com. ChessBase. Retrieved 21 January 2024.
  46. ^ "It worked for poker: Can chess make it on TV?". 11 October 2006.
  47. ^ "BAP - ChessBanter". www.chessbanter.com.
  48. ^ "Archived copy". Archived from the original on 2008-04-13. Retrieved 2008-04-19.{{cite web}}: CS1 maint: archived copy as title (link)
  49. ^ The draw problem – a simple solution, by John Nunn

Bibliography

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