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Draw by agreement



 
 
In chess
Chess

Chess is a recreational and competitive game played between two Player . Sometimes called Western chess or international chess to distinguish it from History of chess and other chess variants, the current form of the game emerged in Southern Europe during the second half of the 15th century after evolving from similar, much older...
, a draw by (mutual) agreement is the outcome of a game due to the agreement of both players to a draw
Draw (chess)

In chess, a draw is one of the possible outcomes of a game, the others being a win for White and a win for Black . Traditionally, in tournaments a draw is worth a half point to each player, while a win is worth one point to the victor and none to the loser....
. A player may offer a draw to his opponent at any stage of a game; if the opponent accepts, the game is a draw. The relevant portion of the FIDE
Fédération Internationale des Échecs

The F?d?ration Internationale des ?checs or World Chess Federation is an international organization that connects the various national chess federations around the world and acts as the Sport governing body of international chess competition....
 laws of chess is article 9.1. The vast majority of drawn chess games at the amateur club/tournament level and higher are draws by mutual agreement rather than the other (technical) ways a game can be drawn (stalemate
Stalemate

Stalemate is a situation in chess where the player whose turn it is to move is not in check but has no legal moves. One of the rules of chess is that stalemate ends the game, with the result a draw ....
, threefold repetition
Threefold repetition

In chess and some other abstract strategy games, the threefold repetition rule 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....
, fifty-move rule, or impossibility of checkmate
Checkmate

Checkmate is a situation in chess in which one player's king is threatened with capture and there is no way to meet that threat. Or, simply put, the king is under direct attack and cannot avoid being captured....
) .

The FIDE laws state that a draw should be offered after making the move and before pressing the game clock
Game clock

A game clock consists of two adjacent clocks and buttons to stop one clock while starting the other, such that the two component clocks never run simultaneously....
.






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In chess
Chess

Chess is a recreational and competitive game played between two Player . Sometimes called Western chess or international chess to distinguish it from History of chess and other chess variants, the current form of the game emerged in Southern Europe during the second half of the 15th century after evolving from similar, much older...
, a draw by (mutual) agreement is the outcome of a game due to the agreement of both players to a draw
Draw (chess)

In chess, a draw is one of the possible outcomes of a game, the others being a win for White and a win for Black . Traditionally, in tournaments a draw is worth a half point to each player, while a win is worth one point to the victor and none to the loser....
. A player may offer a draw to his opponent at any stage of a game; if the opponent accepts, the game is a draw. The relevant portion of the FIDE
Fédération Internationale des Échecs

The F?d?ration Internationale des ?checs or World Chess Federation is an international organization that connects the various national chess federations around the world and acts as the Sport governing body of international chess competition....
 laws of chess is article 9.1. The vast majority of drawn chess games at the amateur club/tournament level and higher are draws by mutual agreement rather than the other (technical) ways a game can be drawn (stalemate
Stalemate

Stalemate is a situation in chess where the player whose turn it is to move is not in check but has no legal moves. One of the rules of chess is that stalemate ends the game, with the result a draw ....
, threefold repetition
Threefold repetition

In chess and some other abstract strategy games, the threefold repetition rule 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....
, fifty-move rule, or impossibility of checkmate
Checkmate

Checkmate is a situation in chess in which one player's king is threatened with capture and there is no way to meet that threat. Or, simply put, the king is under direct attack and cannot avoid being captured....
) .

The FIDE laws state that a draw should be offered after making the move and before pressing the game clock
Game clock

A game clock consists of two adjacent clocks and buttons to stop one clock while starting the other, such that the two component clocks never run simultaneously....
. Draws made at any time are valid, however. If a player makes a draw offer before making their move, the opponent can ask them to make their move before deciding. Once made, a draw offer cannot be retracted, and is valid until rejected. A draw may be rejected either verbally or by making a move (thus the offer is nullified if the opponent makes a move). The actual offer of a draw may be made by asking directly "Would you like a draw?" or similar, but players frequently agree to draws by merely nodding their heads .

A draw by agreement after only a few moves (usually before much battle has been done) is called a "grandmaster draw". The name is a misnomer because grandmasters are not more likely to draw this way. Some people believe short grandmaster draws or even all draws by agreement are bad, but attempts to stop or discourage them have not been effective .

Etiquette

Although draws may be offered at any time, those not made as outlined in article 9.1 run the risk of falling under article 12.6 which states: "It is forbidden to distract or annoy the opponent in any manner whatsoever. This includes unreasonable claims or offers of a draw." This rule is applied with the arbiter's discretion: a player loudly offering a draw while his 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, say, offering a draw in a lifeless position when it is not their turn to move .

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

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 12.5.

It is bad etiquette to offer a draw in a clearly lost position , or even when one has no winning chances but the opponent still has winning chances . Garry Kasparov
Garry Kasparov

Garry Kasparov is a Russian former World Chess Champion, regarded by many as Methods for comparing top chess players throughout history. He is also a writer and political activist....
 regularly criticizes grandmasters who offer a draw when their position is worse . But such offers are sometimes used as psychological tricks. The position in the diagram on the right arose in the game Samuel Reshevsky
Samuel Reshevsky

Samuel Herman Reshevsky was a famous chess prodigy and later a leading American chess International Grandmaster. He was a contender for the World Chess Championship from about the mid-1930s to the mid-1960s; coming equal third in the World Chess Championship 1948 tournament, and equal second in the 1953 Candidates Tournament....
 versus Fotis Mastichiadis, Dubrovnik 1950. Reshevsky played 24. Nd2?, and saw at once that he is put into a very bad situation with 24 ... Nxf2. Thinking quickly, he offered his opponent a draw, who was busy writing down the move in his scoresheet. Mastichiadis, a minor master
International Master

The title International Master is awarded to outstanding chess players by the world chess organization F?d?ration Internationale des ?checs. The title is open to both men and women....
, 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
Garry Kasparov

Garry Kasparov is a Russian former World Chess Champion, regarded by many as Methods for comparing top chess players throughout history. He is also a writer and political activist....
 and Anatoly Karpov
Anatoly Karpov

Anatoly Yevgenyevich Karpov is a Russian chess International Grandmaster and former World Chess Championship. He was undisputed World Champion from 1975 to 1985, repeatedly challenged to regain the title from 1986 to 1990, then was FIDE World Champion from 1993 to 1999....
. 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 .

In the 1958 game between Tigran Petrosian
Tigran Petrosian

Tigran Petrosian was World Chess Champion from 1963 to 1969.He is often known by the Russian version of his name, Tigran Vartanovich Petrosian ....
 and Bobby Fischer
Bobby Fischer

Robert James "Bobby" Fischer was an United States and Icelandic chess Grandmaster , and the eleventh World Chess Champion.As a teenager, Fischer became famous as a chess prodigy....
, Fisher offered a draw without making a move first, which was accepted by Petrosian. He explains in My 60 Memorable Games
My 60 Memorable Games

My 60 Memorable Games is a chess book by Bobby Fischer, first published in 1969. It is a collection of his games dating from the 1957 New Jersey Open to the 1967 Sousse Interzonal....
:
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 . (see queen versus pawn endgame)


Grandmaster draw

A "Grandmaster draw" is a draw in a few number of moves, usually without much battle, usually between high-ranked players. British expert P. H. Clarke talked about the positive aspects of a short draw:
Unless you are of the calibre of Botvinnik
Mikhail Botvinnik

Mikhail Moiseyevich Botvinnik was a Russian International Grandmaster and long-time World Chess Championship. As an Electrical engineering, he was one of the very few famous chess players who achieved distinction in another career while playing top-class competitive chess....
 – and who is – you cannot hope to play at full power day after day. The technical draws are a necessary means of conserving energy. As such, they contribute to raising the standard of play rather than lowering it .


All of the games of the second Piatigorsky Cup
Piatigorsky Cup

The Piatigorsky Cup was a triennial series of double round-robin tournament grandmaster chess tournaments held in the United States in the 1960s....
 were annotated by players, including the short draws. Their comments on two short draw follow (Spassky versus Petrosian and Reshevsky versus Portisch), followed by comments on some other short draws.

Spassky versus Petrosian


Boris Spassky
Boris Spassky

Boris Vasilievich Spassky is a Russian-France chess Grandmaster . He was the tenth World Chess Champion, holding the title from 1969 to 1972....
 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."


Reshevsky versus Portisch


Lajos Portisch
Lajos Portisch

Lajos Portisch is a Hungarian chess Grandmaster , whose positional style earned him the nickname of the "Hungarian Mikhail Botvinnik". One of the strongest non-Soviet players from the early 1960s into the late 1980s, he participated in twelve straight Interzonals, and qualified for the World Chess Championship Candidates' cycle a total of ei...
 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, 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?"


Averback versus Fischer


In the 1958 game between Yuri Averbakh
Yuri Averbakh

Yuri Lvovich Averbakh is a Russian chess player and author. His father was Germany Jewish, and his ancestors came from Germany and were named Auerbach, meaning "meadow brook." His mother was Russian....
 and Bobby Fischer
Bobby Fischer

Robert James "Bobby" Fischer was an United States and Icelandic chess Grandmaster , and the eleventh World Chess Champion.As a teenager, Fischer became famous as a chess prodigy....
, 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." 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
Time control

A time control is a mechanism in the tournament play of almost all two-player board games so that each round of the match can finish in a timely way and the tournament can proceed....
.

Karpov versus Kasparov


Several short draws occurred in the 1984 World Championship matches
World Chess Championship 1984

The World Chess Championship 1984 was a match between challenger Garry Kasparov and defending champion Anatoly Karpov. After 5 months and 48 games, the match was eventually abandoned in controversial circumstances with Karpov leading 5-3 , and replayed in the World Chess Championship 1985....
 between Anatoly Karpov
Anatoly Karpov

Anatoly Yevgenyevich Karpov is a Russian chess International Grandmaster and former World Chess Championship. He was undisputed World Champion from 1975 to 1985, repeatedly challenged to regain the title from 1986 to 1990, then was FIDE World Champion from 1993 to 1999....
 and Gary Kasparov. This one occurred in the 29th game after thirteen moves. 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 .

Keres versus Petrosian


In 1962 a Candidates Tournament
Candidates Tournament

The Candidates Tournament was a triennial chess tournament organized by the world chess federation FIDE as the final contest to determine the challenger for the World Chess Championship....
 was held in Curaçao
Curaçao

Cura?ao is an island in the southern Caribbean Sea, off the Venezuelan coast. The island area of Cura?ao , which includes the main island plus the small, uninhabited island of Klein Cura?ao , is one of five islands of the Netherlands Antilles of the Netherlands Antilles, and as such, is a part of the Kingdom of the Netherlands....
 to determine the challenger to Mikhail Botvinnik
Mikhail Botvinnik

Mikhail Moiseyevich Botvinnik was a Russian International Grandmaster and long-time World Chess Championship. As an Electrical engineering, he was one of the very few famous chess players who achieved distinction in another career while playing top-class competitive chess....
 in the 1963 World Championship
World Chess Championship 1963

File:Tigran Petrosian.jpgAt the World Chess Championship 1963 Tigran Petrosian narrowly qualified to challenge Mikhail Botvinnik for the World Chess Championship, and then won the match to become the ninth World Chess Champion....
. There is good evidence that Soviet players Tigran Petrosian
Tigran Petrosian

Tigran Petrosian was World Chess Champion from 1963 to 1969.He is often known by the Russian version of his name, Tigran Vartanovich Petrosian ....
, Paul Keres
Paul Keres

Paul Keres , was an Estonian chess International Grandmaster.Keres narrowly missed a chance at a World Chess Championship match on five occasions....
, and Efim Geller
Efim Geller

Efim Petrovich Geller was a Soviet Union chess player, a Grandmaster of world class at his peak. He won the Soviet Championship twice, in 1955 and 1979....
 arranged to draw all of the games between themselves. The twelve games played between these three players were all short draws, averaging 19 moves .

This diagram shows the final position from the shortest one, only fourteen moves. This was in the 25th of 28 rounds, and the final game between Keres and Petrosian. Bobby Fischer
Bobby Fischer

Robert James "Bobby" Fischer was an United States and Icelandic chess Grandmaster , and the eleventh World Chess Champion.As a teenager, Fischer became famous as a chess prodigy....
 charged that Petrosian accepted a draw when he was winning and Jan Timman
Jan Timman

Jan Timman is a Netherlands chess Grandmaster who was one of the world's leading players from the late 1970s to the early 1990s. At the peak of his career he was considered to be the best non-Soviet player and was known as "The Best of the West"....
 agrees. Petrosian went on to win the tournament and win the championship from Botvinnik .

Steps taken to discourage draws or short draws


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
Sport

Sport is an activity that is governed by a set of regulation of sport or traditions and often engaged in competitively. Sports commonly refer to activities where the physical capabilities of the competitor are the sole or primary determinant of the outcome , but the term is also used to include activities such as mind sports and motor...
 where the contestants can agree to a draw at any time for any reason.

Because such quick 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)


The respected chess trainer Mark Dvoretsky
Mark Dvoretsky

Mark Izrailovich Dvoretsky is a world-renowned Russian chess trainer, writer and International Master.He was awarded the International Master title in 1975 and for a while, was widely regarded as the strongest IM in the world....
, writing in a column for the Chess Cafe website, 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
Boxing

Boxing is a combat sport where two participants, generally of similar human weight, fight each other with their fists. Boxing is supervised by a referee and is typically engaged in during a series of one to three-minute intervals called rounds....
. 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. He also suggests that draw offers could be allowed if sent through an arbiter—if the arbiter agrees that a position is a dead draw, he will pass the draw offer on to the opponent who may either accept or decline it as usual; if the arbiter believes there is still something to play for in the position, the draw offer is not permitted.

The very strong Sofia 2005 tournament employed a similar rule, which has become known as "Sofia rules". The players could not draw by agreement, but they could have technical draws (stalemate
Stalemate

Stalemate is a situation in chess where the player whose turn it is to move is not in check but has no legal moves. One of the rules of chess is that stalemate ends the game, with the result a draw ....
, threefold repetition
Threefold repetition

In chess and some other abstract strategy games, the threefold repetition rule 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....
, fifty-move rule, and insufficient material). Other draws are only allowed if the artbiter declares it is a drawn position.

Sofia-type rules have been adopted by the HB Global tournament, and in some World Chess Championship
World Chess Championship

The World Chess Championship is played to determine the World Champion in the board game chess. Both men and women are eligible to contest this title....
 events. The FIDE Grand Prix 2008-2009
FIDE Grand Prix 2008-2009

The FIDE Grand Prix 2008-2009 is a series of six chess tournaments, which form part of the qualification for the World Chess Championship 2011. It is being administered by FIDE, the World Chess Federation....
 (part of the World Chess Championship 2011
World Chess Championship 2011

The World Chess Championship 2011 will be a match, between a champion and a challenger, held in September 2011 to determine a new World Chess Championship....
) 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 only draws allowed were:
  • Threefold repetition of position
  • fifty-move rule
  • Perpetual check
    Perpetual check

    In the game of chess, perpetual check is a situation in which one player can force a Draw by an unending series of check s. Such a situation typically arises when the player who is checking cannot deliver checkmate, while any other move gives the opponent a chance to win....
  • A theoretical draw.


No draw offers before a certain move


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 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
Threefold repetition

In chess and some other abstract strategy games, the threefold repetition rule 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....
. 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 , .

In 2003, GM Maurice Ashley
Maurice Ashley

Maurice Ashley is a chess International Grandmaster. He is the first and only African-American grandmaster. In the October 2006 rating lists, he had a FIDE rating of 2465, and a United States Chess Federation rating of 2520 at standard chess, and 2536 at quick chess....
 wrote an essay , which raised discussion about ways to avoid quick agreed draws in chess tournaments. Ashley proposed that draw offers not be allowed before move 50.

The 2003 Generation Chess International Tournament in New York City
New York City

The City of New York is the List of United States cities by population in the United States, while the New York metropolitan area ranks among the List of urban areas by population....
 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).

Replay the game (gladiator chess)


In the very first international round-robin tournament
Round-robin tournament

A round-robin tournament or all-play-all tournament is a type of tournament#Group tournaments in which each participant plays every other participant an equal number of times....
 in London in 1862, drawn games had to be replayed until there was a decisive result. A similar format, called gladiator chess
Gladiator chess

Gladiator chess is a chess tournament style. It was introduced in the 2006 Danish Chess Championships.In gladiator chess no draws are accepted....
, was introduced in the Danish Chess Championships 2006.

Eliminates draws completely by forcing a fast time control game to be played after a draw 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. This was tried in the 2006 Danish Championship
Danish Chess Championship

The Danish Chess Championship was organised by the Danish Chess Union and first held in 1910. A masterclass was first introduced in 1915. But it is only from 1922 that the title of Denmark chess champion was introduced, this was the first year also players from Copenhagen joined....
, see gladiator chess
Gladiator chess

Gladiator chess is a chess tournament style. It was introduced in the 2006 Danish Chess Championships.In gladiator chess no draws are accepted....
.

Different scoring systems


Adopting new point-scoring rules akin to soccer, where FIFA
FIFA

The F?d?ration Internationale de Football Association , commonly known by its acronym, FIFA , is the international sport governing body of association football....
 has adopted a system that gives 3 points for a win, 1 point for a draw, and 0 points for a loss. This system discourages draws since they would only be worth ? of their current value. The "3-1-0"
Three points for a win

Three points for a win is a standard used in many sports leagues and tournament#group tournaments, especially in association football, in which three points are awarded to the team winning a match, with no points to the losing team....
 system was adopted by FIFA after various soccer leagues around the world had used it to reduce the number of stalling draws. This was used in the Bilbao 2008 tournament.

BAP System
BAP System

The BAP System is a variation to the existing point system in the game of chess. The first known use of the existing point system where a win gets a full point, a draw gets a half point and a loss gets zero points is thought to have been in Germany around 1867....
 makes 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 black win, two points for white win, one point for black draw, no points for white draw or any loss. Only one tournament has been played under BAP, so there is not enough data to make firm conclusions with. However, there were no short draws in the Bainbridge Slugfest and all the draws were fighting draws.

A small number of tournaments in the past have adopted an alternative scoring system, whereby a win is worth three points, while a draw is worth only one (a recent tournament using such a system was Lippstadt 2003). Similarly, there have been proposals that certain kinds of draw should be worth more points than others – for example, awarding only half a point for an agreed draw, but three-quarters of a point for a side delivering stalemate (one-quarter of a point going to the side who is stalemated). In the BAP System
BAP System

The BAP System is a variation to the existing point system in the game of chess. The first known use of the existing point system where a win gets a full point, a draw gets a half point and a loss gets zero points is thought to have been in Germany around 1867....
, Black only gets one point for a draw, or three points for a win; a white win is worth two points. As of 2005, these proposals have not been widely adopted.

Financial penalties


In 2005, GM John Nunn
John Nunn

John Denis Martin Nunn is one of England's strongest chess players, and once belonged to the world's top ten. He was twice world champion in chess problem solving....
 wrote that he believed the rules didn't need to change, and that the simple solution was for organizers to not invite players known for taking short draws.

The 2003 Generation Chess International Tournament in New York City
New York City

The City of New York is the List of United States cities by population in the United States, while the New York metropolitan area ranks among the List of urban areas by population....
 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). 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
Linares chess tournament

The annual Linares chess tournament, usually played around the end of February, takes its name from the city of Linares in the Ja?n Province, Spain of Andalusia, Spain, in which it is held....
) has sometimes enforced a rule whereby draws cannot be agreed to before move thirty.

External links

  • (Previously included a downloadable .pdf file of Dvoretsky's article "Draw?", but this seems to have disappeared by May 2007)
  • , by Mark Weeks
  • by Chessbase
    ChessBase

    ChessBase is a Germany company that markets chess software, maintains a chess news site, and operates a server for online chess. It maintains and sells massive databases, containing most historic games, that permit analysis that had not been possible prior to computing....