Chess

Original Staunton chess pieces by Nathaniel Cook from 1849

Around 1200, rules of shatranj started to be modified in southern Europe, and around 1475, several major changes rendered the game essentially as it is known today. These modern rules for the basic moves had been adopted in Italy and in Spain. Pawns gained the option of advancing two squares on their first move, while bishops and queens acquired their modern abilities. This made the queen the most powerful piece; consequently modern chess was referred to as "Queen's Chess" or "Mad Queen Chess". These new rules quickly spread throughout western Europe, with the exception of the rules about stalemate, which were finalized in the early nineteenth century.

This was also the time when chess started to develop a corpus of theory. The oldest preserved printed chess book, Repetición de Amores y Arte de Ajedrez (Repetition of Love and the Art of Playing Chess) by Spanish churchman Luis Ramirez de Lucena was published in Salamanca in 1497. Lucena and later masters like Portuguese Pedro Damiano, Italians Giovanni Leonardo Di Bona, Giulio Cesare Polerio and Gioachino Greco or Spanish bishop Ruy López de Segura developed elements of openings and started to analyze simple endgames.

François-André Danican Philidor, eighteenth century French chess Master

In the eighteenth century the centre of European chess life moved from the Southern European countries to France. The two most important French masters were François-André Danican Philidor, a musician by profession, who discovered the importance of pawns for chess strategy, and later Louis-Charles Mahé de La Bourdonnais who won a famous series of matches with the Irish master Alexander McDonnell in 1834. Centers of chess life in this period were coffee houses in big European cities like Café de la Régence in Paris and Simpson's Divan in London.

As the nineteenth century progressed, chess organization developed quickly. Many chess clubs, chess books and chess journals appeared. There were correspondence matches between cities; for example the London Chess Club played against the Edinburgh Chess Club in 1824. Chess problems became a regular part of nineteenth century newspapers; Bernhard Horwitz, Josef Kling and Samuel Loyd composed some of the most influential problems. In 1843, von der Lasa published his and Bilguer's Handbuch des Schachspiels (Handbook of Chess), the first comprehensive manual of chess theory.

Birth of a sport (1850–1945)

The " Immortal Game", Anderssen-Kieseritzky, 1851

The first modern chess tournament was held in London in 1851 and won, surprisingly, by German Adolf Anderssen, relatively unknown at the time. Anderssen was hailed as the leading chess master and his brilliant, energetic — but from today's viewpoint strategically shallow — attacking style became typical for the time. Sparkling games like Anderssen's Immortal game or Morphy's Opera game were regarded as the highest possible summit of the chess art.

Deeper insight into the nature of chess came with two younger players. American Paul Morphy, an extraordinary chess prodigy, won against all important competitors, including Anderssen, during his short chess career between 1857 and 1863. Morphy's success stemmed from a combination of brilliant attacks and sound strategy; he intuitively knew how to prepare attacks. Prague-born Wilhelm Steinitz later described how to avoid weaknesses in one's own position and how to create and exploit such weaknesses in the opponent's position. In addition to his theoretical achievements, Steinitz founded an important tradition: his triumph over the leading German master Johannes Zukertort in 1886 is regarded as the first official World Chess Championship. Steinitz lost his crown in 1894 to a much younger German mathematician Emanuel Lasker, who maintained this title for 27 years, the longest tenure of all World Champions.

Wilhelm Steinitz, the first World Chess Champion

It took a prodigy from Cuba, José Raúl Capablanca (World champion 1921–27), who loved simple positions and endgames, to end the German-speaking dominance in chess; he was undefeated in tournament play for eight years until 1924. His successor was Russian-French Alexander Alekhine, a strong attacking player, who died as the World champion in 1946, having briefly lost the title to Dutch player Max Euwe in 1935 and regaining it two years later.

Between the world wars, chess was revolutionized by the new theoretical school of so-called hypermodernists like Aron Nimzowitsch and Richard Réti. They advocated controlling the center of the board with distant pieces rather than with pawns, inviting opponents to occupy the centre with pawns which become objects of attack.

Since the end of 19th century, the number of annually held master tournaments and matches quickly grew. Some sources state that in 1914 the title of chess grandmaster was first formally conferred by Tsar Nicholas II of Russia to Lasker, Capablanca, Alekhine, Tarrasch and Marshall, but this is a disputed claim. This tradition was continued by the World Chess Federation ( FIDE), founded in 1924 in Paris. In 1927, Women's World Chess Championship was established; the first to hold it was Czech- English master Vera Menchik.

Post-war era (1945 and later)

World Champions José Raúl Capablanca (left) and Emanuel Lasker in 1925

After the death of Alekhine, a new World Champion was sought in a tournament of elite players ruled by FIDE, who have, since then, controlled the title. The winner of the 1948 tournament, Russian Mikhail Botvinnik, started an era of Soviet dominance in the chess world. Until the end of the Soviet Union, there was only one non-Soviet champion, American Bobby Fischer (champion 1972–1975).

In the previous informal system, the World Champion decided which challenger he would play for the title and the challenger was forced to seek sponsors for the match. FIDE set up a new system of qualifying tournaments and matches. The world's strongest players were seeded into " Interzonal tournaments", where they were joined by players who had qualified from "Zonal tournaments". The leading finishers in these Interzonals would go on the "Candidates" stage, which was initially a tournament, later a series of knock-out matches. The winner of the Candidates would then play the reigning champion for the title. A champion defeated in a match had a right to play a rematch a year later. This system worked on a three-year cycle.

Current World Champion Viswanathan Anand

The next championship, the so-called Match of the Century, saw the first non-Soviet challenger since World War II, American Bobby Fischer, who defeated his Candidates opponents by unheard-of margins and clearly won the world championship match. In 1975, however, Fischer refused to defend his title against Soviet Anatoly Karpov when FIDE refused to meet his demands, and Karpov obtained the title by default. Karpov defended his title twice against Viktor Korchnoi and dominated the 1970s and early 1980s with a string of tournament successes.

Karpov's reign finally ended in 1985 at the hands of another Russian player, Garry Kasparov. Kasparov and Karpov contested five world title matches between 1984 and 1990; Karpov never won his title back.

In 1993, Garry Kasparov and Nigel Short broke with FIDE to organize their own match for the title and formed a competing Professional Chess Association (PCA). From then until 2006, there were two simultaneous World Champions and World Championships: the PCA or Classical champion extending the Steinitzian tradition in which the current champion plays a challenger in a series of many games; the other following FIDE's new format of many players competing in a tournament to determine the champion. Kasparov lost his Classical title in 2000 to Vladimir Kramnik of Russia.

The FIDE World Chess Championship 2006 reunified the titles, when Kramnik beat the FIDE World Champion Veselin Topalov and became the undisputed World Chess Champion. In September 2007, Viswanathan Anand became the next champion by winning a championship tournament.

Place in culture

Noble chess players, Germany, c. 1320

Pre-modern

In the Middle Ages and during the Renaissance, chess was a part of noble culture; it was used to teach war strategy and was dubbed the " King's Game". Gentlemen are "to be meanly seene in the play at Chestes," says the overview at the beginning of Baldassare Castiglione's The Book of the Courtier (1528, English 1561 by Sir Thomas Hoby), but chess should not be a gentleman's main passion. Castiglione explains it further:

And what say you to the game at chestes? It is truely an honest kynde of enterteynmente and wittie, quoth Syr Friderick. But me think it hath a fault, whiche is, that a man may be to couning at it, for who ever will be excellent in the playe of chestes, I beleave he must beestowe much tyme about it, and applie it with so much study, that a man may assoone learne some noble scyence, or compase any other matter of importaunce, and yet in the ende in beestowing all that laboure, he knoweth no more but a game. Therfore in this I beleave there happeneth a very rare thing, namely, that the meane is more commendable, then the excellency.

Beautiful chess sets used by the aristocracy of the time are mostly lost, but some of the surviving examples, like the twelfth century Lewis chessmen, are of high artistic quality.

At the same time, chess was often used as a basis of sermons on morality. An example is Liber de moribus hominum et officiis nobilium sive super ludo scacchorum ('Book of the customs of men and the duties of nobles or the Book of Chess'), written by an Italian Dominican monk Jacobus de Cessolis circa 1300. The popular work was translated into many other languages (first printed edition at Utrecht in 1473) and was the basis for William Caxton's The Game and Playe of the Chesse (1474), one of the first books printed in English. Different chess pieces were used as metaphors for different classes of people, and human duties were derived from the rules of the game or from visual properties of the chess pieces.

Two kings and two queens from the Lewis chessmen at the British Museum.

The knyght ought to be made alle armed upon an hors in suche wyse that he haue an helme on his heed and a spere in his ryght hande/ and coueryd wyth his sheld/ a swerde and a mace on his lyft syde/ Cladd wyth an hawberk and plates to fore his breste/ legge harnoys on his legges/ Spores on his heelis on his handes his gauntelettes/ his hors well broken and taught and apte to bataylle and couerid with his armes/ whan the knyghtes ben maad they ben bayned or bathed/ that is the signe that they shold lede a newe lyf and newe maners/ also they wake alle the nyght in prayers and orysons vnto god that he wylle gyue hem grace that they may gete that thynge that they may not gete by nature/ The kynge or prynce gyrdeth a boute them a swerde in signe/ that they shold abyde and kepe hym of whom they take theyr dispenses and dignyte.

On the other side, political and religious authorities in many places forbade chess as frivolous or as a sort of gambling.

Known in the circles of clerics, students and merchants, chess entered into the popular culture of Middle Ages. An example is the 209th song of Carmina Burana from the thirteenth century, which starts with the names of chess pieces, Roch, pedites, regina…

Honoré Daumier, The Chess Players

Modern

To the Age of Enlightenment, chess appeared mainly for self-improvement. Benjamin Franklin, in his article "The Morals of Chess" (1750), wrote:

"The Game of Chess is not merely an idle amusement; several very valuable qualities of the mind, useful in the course of human life, are to be acquired and strengthened by it, so as to become habits ready on all occasions; for life is a kind of Chess, in which we have often points to gain, and competitors or adversaries to contend with, and in which there is a vast variety of good and ill events, that are, in some degree, the effect of prudence, or the want of it. By playing at Chess then, we may learn: 1st, Foresight, which looks a little into futurity, and considers the consequences that may attend an action… 2nd, Circumspection, which surveys the whole Chess-board, or scene of action: - the relation of the several Pieces, and their situations… 3rd, Caution, not to make our moves too hastily…"

Through the Looking-Glass, Red King snoring, illustration by John Tenniel

With these or similar hopes, chess is taught to children in schools around the world today and used in armies to train minds of cadets and officers. Many schools hold chess clubs and there are many scholastic tournaments specifically for children. In addition, many countries have chess federations, such as the United States Chess Federation, that hold tournaments regularly in addition to FIDE.

Moreover, chess is often depicted in the arts; significant works, where chess plays a key role, range from Thomas Middleton's A Game at Chess over Through the Looking-Glass by Lewis Carroll to The Royal Game by Stefan Zweig or Vladimir Nabokov's The Defense. Chess is also important in films like Ingmar Bergman's The Seventh Seal or Satyajit Ray's The Chess Players.

Chess is also present in the contemporary popular culture. For example, J. K. Rowling's Harry Potter plays " Wizard's Chess" while the characters of Star Trek prefer " Tri-Dimensional Chess" and the hero of Searching for Bobby Fischer struggles against adopting the aggressive and misanthropic views of a real chess Grandmaster.. Chess has also been used as the core theme of a musical, Chess, by Tim Rice, Björn Ulvaeus and Benny Andersson.

Notation for recording moves

Algebraic chess notation

Chess games and positions are recorded using a special notation, most often algebraic chess notation. Abbreviated (or short) algebraic notation generally records moves in the format abbreviation of the piece moved - file where it moved - rank where it moved, e.g. Qg5 means "queen moves to the g-file and 5th rank (that is, to the square g5). If there are two pieces of the same type that can move to the same square, one more letter or number is added to indicate the file or rank from which the piece moved, e.g. Ngf3 means "knight from the g-file moves to the square f3". The letter P indicating a pawn is not used, so that e4 means "pawn moves to the square e4".

If the piece makes a capture, "x" is inserted before the destination square, e.g. Bxf3 means "bishop captures on f3". When a pawn makes a capture, the file from which the pawn departed is used in place of a piece initial, and ranks may be omitted if unambiguous. For example, exd5 (pawn on the e-file captures the piece on d5) or exd (pawn on e-file captures something on the d-file).

The " Scholar's mate"

If a pawn moves to its last rank, achieving promotion, the piece chosen is indicated after the move,for example e1Q or e1=Q. Castling is indicated by the special notations 0-0 for kingside castling and 0-0-0 for queenside. A move which places the opponent's king in check usually has the notation "+" added. Checkmate can be indicated by "#" (occasionally "++", although this is sometimes used for a double check instead). At the end of the game, "1-0" means "White won", "0-1" means "Black won" and "½-½" indicates a draw.

Chess moves can be annotated with punctuation marks and other symbols. For example ! indicates a good move, !! an excellent move, ? a mistake, ?? a blunder, !? an interesting move that may not be best or ?! a dubious move, but not easily refuted.

For example, one variant of a simple trap known as the Scholar's mate, animated in the picture to the right, can be recorded:

1. e4 e5
2. Qh5?! Nc6
3. Bc4 Nf6??
4. Qxf7# 1-0

Chess composition

Richard Réti
Ostrauer Morgenzeitung 4 December 1921

White to play and draw

One of the most famous chess studies ever. It seems impossible to catch the advanced black pawn, while the black king can easily stop the white pawn. The solution is diagonal advance, bringing the king to both pawns at the same time: 1. Kg7! h4 2. Kf6 Kb6 (or 2. …h3 3. Ke7 and the white king can support its pawn) 3. Ke5!! (now the white king comes just in time to his pawn, or catches the black one) 3. …h3 4. Kd6 draw.

Chess composition is the art of creating chess problems (these problems themselves are sometimes also called chess compositions). A person who creates such problems is known as a chess composer.

Most chess problems exhibit the following features:

• The position is composed, that is, it has not been taken from an actual game, but has been invented for the specific purpose of providing a problem.
• There is a specific stipulation, that is, a goal to be achieved; for example, to checkmate black within a specified number of moves.
• There is a theme (or combination of themes) that the problem has been composed to illustrate: chess problems typically instantiate particular ideas. Many of these themes have their own names, often by persons who used them first, for example Novotny or Lacny theme.
• The problem exhibits economy in its construction: no greater force is employed than that required to guarantee that the problem's intended solution is indeed a solution and that it is the problem's only solution.
• The problem has aesthetic value. Problems are experienced not only as puzzles but as objects of beauty. This is closely related to the fact that problems are organized to exhibit clear ideas in as economical a manner as possible.

There are many types of chess problems. The two most important are:

• Directmates: white to move first and checkmate black within a specified number of moves against any defense. These are often referred to as "mate in n" - for example "mate in three" (a three-mover).
• Studies: orthodox problems in which the stipulation is that white to play must win or draw. Almost all studies are endgame positions.

Chess composition is a distinct branch of chess sport, and tournaments (or tourneys) exist for both the composition and solving of chess problems.

Competitive play

Organization of competitions

Contemporary chess is an organized sport with structured international and national leagues, tournaments and congresses. Chess's international governing body is FIDE (Fédération Internationale des Échecs). Most countries have a national chess organization as well (such as the US Chess Federation and English Chess Federation), which in turn is a member of FIDE. FIDE is a member of the International Olympic Committee (IOC), but the game of chess has never been part of the Olympic Games; chess does have its own Olympiad, held every two years as a team event. An estimated 605 million people worldwide know how to play chess, and 7.5 million are members of national chess federations, which exist in 160 countries worldwide. This makes chess one of the most popular sports worldwide.

The current World Chess Champion is Viswanathan Anand of India. The reigning Women's World Champion is Xu Yuhua from China. However, the world's highest rated female player, Judit Polgar, has never participated in the Women's World Chess Championship, instead preferring to compete with the leading men and maintaining a ranking among the top 20 male players.

Other competitions for individuals include the World Junior Chess Championship, the European Individual Chess Championship and the National Chess Championships. Invitation-only tournaments regularly attract the world's strongest players and these include Spain's Linares event, Monte Carlo's Melody Amber tournament, the Dortmund Sparkassen meeting, Sofia's M-tel Masters and Wijk aan Zee's Corus tournament.

Regular team chess events include the aforementioned Chess Olympiad and the European Team Championship. The 37th Chess Olympiad was held 2006 in Turin, Italy; Armenia won the gold in the unrestricted event, and Ukraine took the top medal for the women. The World Chess Solving Championship and World Correspondence Chess Championships are both team and individual events.

Besides these prestigious competitions, there are thousands of other chess tournaments, matches and festivals held around the world every year, which cater to players of all levels, from beginners to experts.

Titles and rankings

Grandmaster Garry Kasparov, former World Chess Champion

The best players can be awarded specific lifetime titles by the world chess organization FIDE:

• Grandmaster (shortened as GM, sometimes International Grandmaster or IGM is used) is awarded to world-class chess masters. Apart from World Champion, Grandmaster is the highest title a chess player can attain. Before FIDE will confer the title on a player, the player must have an Elo chess rating (see below) of at least 2500 at one time and three favorable results (called norms) in tournaments involving other Grandmasters, including some from countries other than the applicant's. There are also other milestones a player can achieve to attain the title, such as winning the World Junior Championship.
• International Master (shortened as IM). The conditions are similar to GM, but less demanding. The minimum rating for the IM title is 2400.
• FIDE Master (shortened as FM). The usual way for a player to qualify for the FIDE Master title is by achieving a FIDE Rating of 2300 or more.
• Candidate Master (shortened as CM). Similar to FM, but with a FIDE Rating of at least 2200.

All the titles are open to men and women. Separate women-only titles, such as Woman Grandmaster (WGM), are also available. Beginning with Nona Gaprindashvili in 1978, a number of women have earned the GM title, and most of the top ten women in 2006 hold the unrestricted GM title.

International titles are awarded to composers and solvers of chess problems, and to correspondence chess players (by the International Correspondence Chess Federation). Moreover, national chess organizations may also award titles, usually to the advanced players still under the level needed for international titles; an example is the Chess expert title used in the United States.

In order to rank players, FIDE, ICCF and national chess organizations use the Elo rating system developed by Arpad Elo. Elo is a statistical system based on assumption that the chess performance of each player in their games is a random variable. Arpad Elo thought of a player's true skill as the average of that player's performance random variable, and showed how to estimate the average from results of player's games. The US Chess Federation implemented Elo's suggestions in 1960, and the system quickly gained recognition as being both fairer and more accurate than older systems; it was adopted by FIDE in 1970.

The highest ever FIDE rating was 2851, which Garry Kasparov had on the July 1999 and January 2000 lists. In the most recent list (January 2008), the highest rated players are the current world champion Viswanathan Anand of India and the former one Vladimir Kramnik of Russia with a rating of 2799.

Mathematics and computers

Mathematicians Euler, de Moivre and Vandermonde studied the knight's tour.

Chess is interesting from the mathematical point of view. Many combinatorical and topological problems connected to chess were known of for hundreds of years. In 1913, Ernst Zermelo used it as a basis for his theory of game strategies, which is considered as one of the predecessors of game theory.

The number of legal positions in chess is estimated to be between 10⁴³ and 10⁵⁰, with a game-tree complexity of approximately 10¹²³. The game-tree complexity of chess was first calculated by Claude Shannon as 10¹²⁰, a number known as the Shannon number. Typically an average position has thirty to forty possible moves, but there may be as few as zero (in the case of checkmate or stalemate) or as many as 218.

The most important mathematical challenge of chess is the development of algorithms which can play chess. The idea of creating a chess playing machine dates to the eighteenth century; around 1769, the chess playing automaton called The Turk became famous before being exposed as a hoax. Serious trials based on automatons, such as El Ajedrecista, were too complex and limited to be useful.

Since the advent of the digital computer in the 1950s, chess enthusiasts and computer engineers have built, with increasing degrees of seriousness and success, chess-playing machines and computer programs. The groundbreaking paper on computer chess, "Programming a Computer for Playing Chess", was published in 1950 by Shannon. He wrote:

The chess machine is an ideal one to start with, since: (1) the problem is sharply defined both in allowed operations (the moves) and in the ultimate goal (checkmate); (2) it is neither so simple as to be trivial nor too difficult for satisfactory solution; (3) chess is generally considered to require "thinking" for skillful play; a solution of this problem will force us either to admit the possibility of a mechanized thinking or to further restrict our concept of "thinking"; (4) the discrete structure of chess fits well into the digital nature of modern computers.

1990s chess-playing computer

The Association for Computing Machinery (ACM) held the first major chess tournament for computers, the North American Computer Chess Championship, in September 1970. CHESS 3.0, a chess program from Northwestern University, won the championship. At first considered only a curiosity, the best chess playing programs, for example Rybka or Hydra, have become extremely strong. Garry Kasparov, then ranked number one in the world, lost a match against IBM's Deep Blue in 1997. Nevertheless, from the point of view of artificial intelligence, chess-playing programs are relatively simple: they essentially explore huge numbers of potential future moves by both players and apply an evaluation function to the resulting positions, an approach described as "brute force" because it relies on the sheer speed of the computer.

With huge databases of past games and high analytical ability, computers also help players to learn chess and prepare for matches. Additionally, Internet Chess Servers allow people to find and play opponents all over the world. The presence of computers and modern communication tools have also raised concerns regarding cheating during games, most notably the " bathroom controversy" during the 2006 World Championship.

Psychology

There is an extensive scientific literature on chess psychology. Alfred Binet and others showed that knowledge and verbal, rather than visuospatial, ability lies at the core of expertise. Adriaan de Groot, in his doctoral thesis, showed that chess masters can rapidly perceive the key features of a position. According to de Groot, this perception, made possible by years of practice and study, is more important than the sheer ability to anticipate moves. De Groot also showed that chess masters can memorize positions shown for a few seconds almost perfectly. Memorization ability alone does not account for this skill, since masters and novices, when faced with random arrangements of chess pieces, had equivalent recall (about half a dozen positions in each case). Rather, it is the ability to recognize patterns, which are then memorized, which distinguished the skilled players from the novices. When the positions of the pieces were taken from an actual game, the masters had almost total positional recall.

More recent research has focused on the respective roles of knowledge and look-ahead search; brain imaging studies of chess masters and novices; blindfold chess; the role of personality and intelligence in chess skill, gender differences, and computational models of chess expertise. In addition, the role of practice and talent in the development of chess and other domains of expertise has led to a lot of research recently. Ericsson and colleagues have argued that deliberate practice is sufficient for reaching high levels of expertise, like master in chess. However, more recent research indicates that factors other than practice are important. For example, Gobet and colleagues have shown that stronger players start playing chess earlier, that they are more likely to be left-handed, and that they are more likely to be born in late winter and early spring.

There are also some attempts to use the game of chess as mental training.

Variants

Glinski's hexagonal chess, a chess variant popular in 1930s

Chess variants are forms of chess where the game is played with a different board, special fairy pieces or different rules. There are more than two thousand published chess variants, the most popular being xiangqi in China and shogi in Japan.

Chess variants can be divided into:

• Direct predecessors of chess, chaturanga and shatranj.
• Traditional national or regional chess variants like xiangqi, shogi, janggi and makruk, which share common predecessors with Western chess.
• Modern variants of chess, such as Chess960, where the initial position is selected randomly before each game. This random positioning makes it more difficult to prepare the opening play in advance.