
The game of
chess
Chess is a board game for two players. It is an abstract strategy game that involves Perfect information, no hidden information and no elements of game of chance, chance. It is played on a square chessboard, board consisting of 64 squares arran ...
is commonly divided into three phases: the
opening,
middlegame, and
endgame. There is a large body of theory regarding how the game should be played in each of these phases, especially the opening and endgame. Those who write about chess theory, who are often also eminent players, are referred to as "chess
theorists" or "chess theoreticians".
"Opening theory" commonly refers to consensus, broadly represented by current literature on the openings. "Endgame theory" consists of statements regarding specific positions, or positions of a similar type, though there are few universally applicable principles. "Middlegame theory" often refers to maxims or principles applicable to the middlegame. The modern trend, however, is to assign paramount importance to analysis of the specific position at hand rather than to general principles.
The development of theory in all of these areas has been assisted by the vast literature on the game. In 1913, preeminent chess historian
H. J. R. Murray wrote in his 900-page magnum opus ''
A History of Chess
''A History of Chess'' is a book written by H. J. R. Murray (1868–1955) and published in 1913.
Details
Murray's aim is threefold: to present as complete a record as is possible of the varieties of chess that exist or have existed in differen ...
'' that, "The game possesses a literature which in contents probably exceeds that of all other games combined." He estimated that at that time the "total number of
books on chess,
chess magazines, and newspapers devoting space regularly to the game probably exceeds 5,000". In 1949,
B. H. Wood estimated that the number had increased to about 20,000.
[Hooper and Whyld, p. 229.] David Hooper and
Kenneth Whyld wrote in 1992 that, "Since then there has been a steady increase year by year of the number of new chess publications. No one knows how many have been printed..."
The world's largest
chess library
Chess libraries are library collections of books and periodicals on the game of chess. In 1913, preeminent chess history, historian H. J. R. Murray estimated the total number of books, magazines, and Chess columns in newspapers, newspaper columns ...
, the
John G. White Collection at the
Cleveland Public Library
The Cleveland Public Library is a public library system in Cleveland, Ohio. Founded in 1869, it had a circulation of 3.5 million items in 2020. It operates the Main Library on Superior Avenue in downtown Cleveland, 27 branches throughout the cit ...
, contains over 32,000 chess books and serials, including over 6,000 bound volumes of chess periodicals. Chess players today also avail themselves of computer-based sources of information.
Opening theory

The earliest printed work on chess theory whose date can be established with some exactitude is ''Repeticion de Amores y Arte de Ajedrez'' by the
Spaniard
Spaniards, or Spanish people, are a Romance languages, Romance-speaking Ethnicity, ethnic group native to the Iberian Peninsula, primarily associated with the modern Nation state, nation-state of Spain. Genetics, Genetically and Ethnolinguisti ...
Luis Ramirez de Lucena, published c. 1497, which included among other things analysis of eleven chess openings. Some of them are known today as the
Giuoco Piano,
Ruy Lopez
The Ruy Lopez (; ), also called the Spanish Opening or Spanish Game, is a chess opening characterised by the moves:
:1. e4 e5
:2. Nf3 Nc6
:3. Bb5
The Ruy Lopez remains one of the most popular chess openings, featuring many variations. In ...
,
Petrov's Defense
Petrov's Defence or the Petrov Defence (also called Petroff Defence, Petrov's Game, Russian Defence, or Russian Game ">/nowiki> is a chess opening characterised by the following moves:
:1. e4 e5
:2. Nf3 Nf6
Though this response has a long ...
,
Bishop's Opening
The Bishop's Opening is a chess opening that begins with the moves:
:1. e4 e5
:2. Bc4
White attacks Black's f7-square and prevents Black from advancing the d-pawn to d5. By ignoring the beginner's maxim "develop knights before bishops", White ...
,
Damiano's Defense, and
Scandinavian Defense
The Scandinavian Defense (or Center Counter Defense, or Center Counter Game) is a chess opening characterized by the moves:
:1. e4 d5
This opening is classified under code B01 in the ''Encyclopaedia of Chess Openings''. The Scandinavian Def ...
, though Lucena did not use those terms.
The authorship and date of the
Göttingen manuscript
The Göttingen manuscript is the earliest known work devoted entirely to modern chess. It is a Latin text of 33 leaves held at the University of Göttingen. A quarto parchment manuscript of 33 leaves, ff. 1–15a are a discussion of twelve chess ...
are not established,
[Murray, p. 782.] and its publication date is estimated as being somewhere between 1471 and 1505. It is not known whether it or Lucena's book was published first.
The manuscript includes examples of games with the openings now known as Damiano's Defence,
Philidor's Defense
The Philidor Defence (or Philidor's Defence) is a chess opening characterised by the moves:
:1. e4 e5
:2. Nf3 d6
The opening is named after the famous 18th-century player François-André Danican Philidor, who advocated it as an alternati ...
, the Giuoco Piano, Petrov's Defense, the Bishop's Opening, the Ruy Lopez, the
Ponziani Opening
The Ponziani Opening is a chess opening that begins with the moves:
:1. b:Chess Opening Theory/1. e4, e4 b:Chess Opening Theory/1. e4/1...e5, e5
:2. b:Chess Opening Theory/1. e4/1...e5/2. Nf3, Nf3 b:Chess Opening Theory/1. e4/1...e5/2. Nf3/2...Nc ...
, the
Queen's Gambit Accepted, 1.d4 d5 2.Bf4 Bf5 (a form of the
London System
The London System is an in chess where White opens with 1.d4 and develops the to f4, then supports the d4-pawn with pawns on e3 and c3. The other bishop is developed to d3 (or occasionally e2) and the knights typically to f3 and d2. This set-u ...
),
Bird's Opening
Bird's Opening (or the Dutch Attack) is a chess opening characterised by the move:
: 1. f4
Named after 19th century English player Henry Bird, Bird's opening is a standard flank opening. White's strategic ideas involve control of the e5-squa ...
, and the
English Opening
The English Opening is a chess opening that begins with the move:
: 1. c4
A flank opening, it is the fourth most popular and, according to various databases, one of the four most successful of White's twenty possible first moves. White begins ...
. Murray observes that it "is no haphazard collection of commencements of games, but is an attempt to deal with the Openings in a systematic way."
Fifteen years after Lucena's book,
Portuguese apothecary
''Apothecary'' () is an Early Modern English, archaic English term for a medicine, medical professional who formulates and dispenses ''materia medica'' (medicine) to physicians, surgeons and patients. The modern terms ''pharmacist'' and, in Brit ...
Pedro Damiano published the book ''Questo libro e da imparare giocare a scachi et de la partiti'' (1512) in Rome. It includes analysis of the Queen's Gambit Accepted, showing what happens when Black tries to keep the
gambit pawn with ...b5. Damiano's book "was, in contemporary terms, the first bestseller of the modern game."
Harry Golombek
Harold "Harry" Golombek
OBE (1 March 1911 – 7 January 1995) was a British chess player, chess author, and wartime codebreaker. He was three times British chess champion, in 1947, 1949, and 1955 and finished second in 1948. Biography
He was ...
writes that it "ran through eight editions in the sixteenth century and continued on into the next century with unflagging popularity." Modern players know Damiano primarily because his name is attached to the weak opening Damiano's Defense (1.e4 e5 2.Nf3 f6?), although he condemned rather than endorsed it.
These books and later ones discuss games played with various openings, opening traps, and the best way for both sides to play. Certain sequences of opening moves began to be given names, some of the earliest being Damiano's Defense, the
King's Gambit
The King's Gambit is a chess opening that begins with the moves:
:1. e4 e5
:2. f4
White offers a pawn to divert the black e-pawn. If Black accepts the gambit, White may play d4 and Bxf4, regaining the gambit pawn with domination, or direc ...
(1.e4 e5 2.f4), the
Queen's Gambit
The Queen's Gambit is the chess opening that starts with the moves:
:1. d4 d5
:2. c4
It is one of the oldest openings and is still commonly played today. It is traditionally described as a '' gambit'' because White appears to sacrifice the ...
(1.d4 d5 2.c4), and the
Sicilian Defense (1.e4 c5).
Damiano's book was followed by general treatises on chess play by
Ruy López de Segura
Rodrigo "Ruy" López de Segura ( – c. 1580) was a Spanish chess player, author, and Catholic priest
The priesthood is the office of the ministers of religion, who have been commissioned ("ordained") with the holy orders of the Catho ...
(1561),
Giulio Cesare Polerio
Giulio Cesare Polerio (c. 1555, – c. 1610; reconstruction of places and dates by Adriano Chicco) was an Italian chess theoretician and player.
Name affixes used for him are ''l'Apruzzese'', Giu io Cesare ''da Lanciano'' (Salvio/Walker), and ...
(1590),
Pietro Carrera (1617),
Gioachino Greco
Gioachino Greco ( – ), surnamed Cusentino and more frequently ''il Calabrese'', was an Italian chess player and writer. He recorded some of the earliest chess games known in their entirety. His games, which never indicated players, were q ...
(c. 1625),
Joseph Bertin (1735), and
François-André Danican Philidor (1749).
[I.A. Horowitz, ''Chess Openings: Theory and Practice'', Simon and Schuster, 1964.]
The first author to attempt a comprehensive survey of the openings then known was
Aaron Alexandre in his 1837 work ''Encyclopédie des Échecs''. According to Hooper and Whyld, "
arl Jaenisch produced the first openings analysis on modern lines in his ''Analyse nouvelle des ouvertures'' (1842-43)."
[Hooper and Whyld, p. 280.] In 1843,
Paul Rudolf von Bilguer
Paul Rudolf (or Rudolph) von Bilguer (21 September 1815 – 16 September 1840) was a German chess master and chess theoretician from Ludwigslust in the Grand Duchy of Mecklenburg-Schwerin.
Bilguer, who was a lieutenant in the Prussian arm ...
published the German ''
Handbuch des Schachspiels
''Handbuch des Schachspiels'' (''Handbook of Chess'', often simply called the ''Handbuch'') is a chess book, first published in 1843 by Tassilo von Heydebrand und der Lasa. It was a comprehensive reference book on the game, and one of the most i ...
'', which combined the virtues of Alexandre and Jaenisch's works.
The ''Handbuch'', which went through several editions, last being published in several parts in 1912–16, was one of the most important opening references for many decades. The last edition of the ''Handbuch'' was edited by
Carl Schlechter
Carl Schlechter (2 March 1874 – 27 December 1918) was a leading Austro-Hungarian chess master and theoretician at the turn of the 20th century. He is best known for drawing a controversial World Chess Championship match with Emanuel Lasker.
Ea ...
, who had drawn a match for the World Championship with
Emanuel Lasker
Emanuel Lasker (; December 24, 1868 – January 11, 1941) was a German chess player, mathematician, and philosopher. He was the second World Chess Champion, holding the title for 27 years, from 1894 to 1921, the longest reign of any officially ...
in 1910.
International Master William Hartston
William Roland Hartston (born 12 August 1947) is an English journalist who has written the Beachcomber column in the ''Daily Express'' since 1998. He is also a chess player who played competitively from 1962 to 1987 and earned a highest Elo ra ...
called it "a superb work, perhaps the last to encase successfully the whole of chess knowledge within a single volume."
The
English master Howard Staunton
Howard Staunton (April 1810 – 22 June 1874) was an English chess master who is generally regarded as the world's strongest player from 1843 to 1851, largely as a result of his 1843 victory over Pierre Charles Fournier de Saint-A ...
, perhaps the world's strongest player from 1843 to 1851, included over 300 pages of analysis of the openings in his 1847 treatise ''The Chess Player's Handbook.'' That work immediately became the standard reference work in English-speaking countries, and was reprinted 21 times by 1935. However, "as time passed a demand arose for more up-to-date works in English".
[Hooper and Whyld, p. 280 ("Openings literature" entry).] Wilhelm Steinitz
William Steinitz (born Wilhelm Steinitz; May 14, 1836 – August 12, 1900) was a Bohemian-Austrian, and later American, chess player. From 1886 to 1894, he was the first World Chess Champion. He was also a highly influential writer and c ...
, the first
World Champion, widely considered the "father of modern chess," extensively analyzed various
double king-pawn openings (beginning 1.e4 e5) in his book ''The Modern Chess Instructor'', published in 1889 and 1895. Also in 1889,
E. Freeborough and
C. E. Ranken published the first edition of ''Chess Openings Ancient and Modern''; later editions were published in 1893, 1896, and 1910. In 1911,
R. C. Griffith and
J. H. White published the first edition of ''
Modern Chess Openings
''Modern Chess Openings'' (usually called ) is a reference book on chess openings, first published in 1911 by the British players Richard Griffith (chess player), Richard Clewin Griffith (1872–1955) and John Herbert White (1880–1920). The fif ...
''. It is now the longest-published opening treatise in history; the fifteenth edition (commonly called ''MCO-15''), by
Grandmaster Nick de Firmian, was published in April 2008.
According to Hooper and Whyld, the various editions of ''Modern Chess Openings'', the last edition of the ''Handbuch'', and the fourth edition of
Ludvig Collijn's ''Lärobok i Schack'' ("Textbook of Chess") in
Swedish, with groundbreaking contributions by Rubinstein, Reti, Spielmann and Nimzowitch, "were the popular reference sources for strong players between the two
world wars
A world war is an international conflict that involves most or all of the world's major powers. Conventionally, the term is reserved for two major international conflicts that occurred during the first half of the 20th century, World War I (19 ...
."
In 1937–39 former World Champion
Max Euwe
Machgielis "Max" Euwe (; May 20, 1901 – November 26, 1981) was a Dutch chess player, mathematician, author, and chess administrator. He was the fifth player to become World Chess Championship, World Chess Champion, a title he held from 1935 ...
published a twelve-volume opening treatise, ''De theorie der schaakopeningen'', in
Dutch. It was later translated into other languages.
In the late 1930s to early 1950s
Reuben Fine, one of the world's strongest players, also became one of its leading theoreticians, publishing important works on the opening, middlegame, and endgame. These began with his revision of ''Modern Chess Openings'', which was published in 1939. In 1943, he published ''Ideas Behind the Chess Openings'', which sought to explain the principles underlying the openings. In 1948, he published his own opening treatise, ''Practical Chess Openings'', a competitor to ''MCO''. In 1964,
International Master I.A. Horowitz published the 789-page tome ''Chess Openings: Theory and Practice'', which in addition to opening analysis includes a large number of illustrative games.
In 1966, the first volume of ''
Chess Informant
Chess Informant () is a publishing company from Belgrade, Serbia, that periodically (since 2012, four volumes per year) produces volumes of a book entitled ''Chess Informant'', as well as the ''Encyclopaedia of Chess Openings'', ''Encyclopaedia ...
'' was published in
Belgrade
Belgrade is the Capital city, capital and List of cities in Serbia, largest city of Serbia. It is located at the confluence of the Sava and Danube rivers and at the crossroads of the Pannonian Basin, Pannonian Plain and the Balkan Peninsula. T ...
,
Yugoslavia
, common_name = Yugoslavia
, life_span = 1918–19921941–1945: World War II in Yugoslavia#Axis invasion and dismemberment of Yugoslavia, Axis occupation
, p1 = Kingdom of SerbiaSerbia
, flag_p ...
, containing 466 annotated games from the leading chess tournaments and matches of the day. The hugely influential ''Chess Informant'' series has revolutionized opening theory. Its great innovation is that it expresses games in languageless
figurine algebraic notation and annotated them using no words, but rather seventeen symbols, whose meanings were explained at the beginning of the book in six different languages. This enabled readers around the world to read the same games and annotations, thus greatly accelerating the dissemination of chess ideas and the development of opening theory. The editors of ''Chess Informant'' later introduced other publications using the same principle, such as the five-volume ''
Encyclopedia of Chess Openings'' and ''Encyclopedia of Chess Endings'' treatises. ''Chess Informant'' was originally published twice a year, and since 1991 has been published thrice annually. Volume 100 was published in 2007. It now uses 57 symbols, explained in 10 languages, to annotate games (see
Punctuation (chess)
When annotating chess games, commentators frequently use widely recognized annotation symbols. Question marks and exclamation points that denote a move as bad or good are ubiquitous in chess literature. Some publications intended for an interna ...
), and is available in both print and electronic formats. In 2005, former World Champion
Garry Kasparov
Garry Kimovich Kasparov (born Garik Kimovich Weinstein on 13 April 1963) is a Russian Grandmaster (chess), chess grandmaster, former World Chess Champion (1985–2000), political activist and writer. His peak FIDE chess Elo rating system, ra ...
wrote, "We are all Children of the ''Informant''."
In the 1990s and thereafter, the development of opening theory has been further accelerated by such innovations as extremely strong
chess engines
Chess is a board game for two players. It is an abstract strategy game that involves no hidden information and no elements of chance. It is played on a square board consisting of 64 squares arranged in an 8×8 grid. The players, referred to ...
such as
Fritz
Fritz is a common German language, German male name. The name originated as a German diminutive of Friedrich (given name), Friedrich or Frederick (given name), Frederick (''Der Alte Fritz'', and ''Stary Fryc'' were common nicknames for King Fred ...
and
Rybka
Rybka is a computer chess engine designed by International Master Vasik Rajlich. Around 2011, Rybka was one of the top-rated engines on chess engine rating lists and won many computer chess tournaments.
After Rybka won four consecutive Wor ...
,
software
Software consists of computer programs that instruct the Execution (computing), execution of a computer. Software also includes design documents and specifications.
The history of software is closely tied to the development of digital comput ...
such as
ChessBase
ChessBase is a German company that develops and sells chess software, maintains a chess news site, and operates an internet chess server for online chess. Founded in 1986, it maintains and sells large-scale databases containing the moves of recor ...
, and the sale of multi-million-game databases such as ChessBase's Mega 2013 database, with over 5.4 million games. Today, the most important openings have been analyzed over 20 moves deep, sometimes well into the endgame, and it is not unusual for leading players to introduce on move 25 or even later.
Thousands of books have been written on chess openings. These include both comprehensive openings encyclopedias such as the ''Encyclopedia of Chess Openings'' and ''Modern Chess Openings''; general treatises on how to play the opening such as ''Mastering the Chess Openings'' (in four volumes), by International Master
John L. Watson; and myriad books on specific openings, such as ''Understanding the Grünfeld'' and ''Chess Explained: The Classical Sicilian''. "Books and monographs on openings are popular, and as they are thought to become out of date quickly there is a steady supply of new titles." According to
Andrew Soltis, "Virtually all the new information about chess since 1930 has been in the opening."
Middlegame theory

Middlegame theory is considerably less developed than either opening theory or endgame theory. Watson writes, "Players wishing to study this area of the game have a limited and rather unsatisfactory range of resources from which to choose."
[''Secrets of Modern Chess Strategy'', p. 10.]
One of the earliest theories to gain attention was that of
William Steinitz, who posited that a premature attack against one's opponent in an equal position could be repelled by skillful defence, and so a player's best bet was to slowly maneuver with the goal of accumulating small advantages. Emanuel Lasker in ''Lasker's Manual of Chess'' and Max Euwe in ''The Development of Chess Style'' outlined theories that they attributed to Steinitz.
Leading player and theorist
Aron Nimzowitsch's influential books, ''
My System'' (1925), ''Die Blockade'' (1925) (in
German), and ''Chess Praxis'' (1936), are among the most important works on the middlegame.
Nimzowitsch called attention to the possibility of letting one's opponent occupy the centre with pawns while you exert control with your pieces as in the Nimzo-Indian or Queen's Indian defences. He pointed out how in positions with interlocking pawn chains, one could attack the chain at its base by advancing one's own pawns and carrying out a freeing move (pawn break). He also drew attention to the strategy of occupying open files with one's rooks in order to later penetrate to the seventh rank where they could attack the enemy pawns and hem in the opponent's king. Another of his key concepts was prophylaxis, moves aimed at limiting the opponent's mobility to the point where he would no longer have any useful moves.
In 1952, Fine published the 442-page ''The Middle Game in Chess'', perhaps the most comprehensive treatment of the subject up until that time. The mid-20th century also saw the publication of ''The Middle Game'', volumes 1 and 2, by former World Champion
Max Euwe
Machgielis "Max" Euwe (; May 20, 1901 – November 26, 1981) was a Dutch chess player, mathematician, author, and chess administrator. He was the fifth player to become World Chess Championship, World Chess Champion, a title he held from 1935 ...
and Hans Kramer, and a series of books by the
Czechoslovak-German grandmaster
Luděk Pachman: three volumes of ''Complete
Chess Strategy
Chess strategy is the aspect of chess play concerned with evaluation of chess positions and setting goals and long-term plans for future play. While evaluating a position strategically, a player must take into account such factors as the relative ...
'', ''Modern Chess Strategy'', ''Modern
Chess Tactics
In chess, a tactic is a sequence of moves that each makes one or more immediate threats – a check, a threat, a checkmating sequence threat, or the threat of another tactic or otherwise forcing moves – that culminates in the opponent's being ...
'', and ''Attack and Defense in Modern Chess Tactics''.
Another key turning point in middlegame theory came with the release of
Alexander Kotov
Alexander Alexandrovich Kotov (Алекса́ндр Алекса́ндрович Ко́тов; ( – 8 January 1981) was a Soviet chess International Grandmaster, grandmaster and author. He was a Soviet chess champion, a two-time world title Cand ...
's book ''Think like a Grandmaster'' in 1971. Kotov outlined how a player calculates by developing a tree of variations in his head, and recommended that players only examine each branch of the tree once. He also noted how some players seem to fall victim to what is now known as Kotov's Syndrome: they calculate out a large range of different lines, become dissatisfied with the result, and realizing that they are short on time, play a completely new candidate move without even checking whether it is sound. More recently, Jonathan Tisdall, John Nunn and Andrew Soltis have elaborated on Kotov's tree theory further.
In 1999, Watson's ''Secrets of Modern Chess Strategy: Advances Since Nimzowitsch'' was published, in which Watson discusses the revolution in middlegame theory that has occurred since Nimzowitsch's time.
Many books on specific aspects of the middlegame exist, such as ''The Art of Attack in Chess'' by
Vladimir Vuković, ''The Art of
Sacrifice
Sacrifice is an act or offering made to a deity. A sacrifice can serve as propitiation, or a sacrifice can be an offering of praise and thanksgiving.
Evidence of ritual animal sacrifice has been seen at least since ancient Hebrews and Gree ...
in Chess'' by
Rudolf Spielmann, ''The Art of the
Checkmate
Checkmate (often shortened to mate) is any game position in chess and other chess-like games in which a player's king is in check (threatened with ) and there is no possible escape. Checkmating the opponent wins the game.
In chess, the king is ...
'' by Georges Renaud and Victor Kahn, ''The Basis of
Combination
In mathematics, a combination is a selection of items from a set that has distinct members, such that the order of selection does not matter (unlike permutations). For example, given three fruits, say an apple, an orange and a pear, there are ...
in Chess'' by J. du Mont, and ''The Art of Defense in Chess'' by
Andrew Soltis.
Endgame theory
Many significant chess treatises, beginning with the earliest works, have included some analysis of the endgame. Lucena's book (c. 1497) concluded with 150 examples of endgames and
chess problem
A chess problem, also called a chess composition, is a puzzle created by the composer using chess pieces on a chessboard, which presents the solver with a particular task. For instance, a position may be given with the instruction that White is t ...
s.
The second edition (1777) of Philidor's ''Analyse du jeu des Échecs'' devoted 75 pages of analysis to various endgames. These included a number of theoretically important endings, such as rook and bishop versus rook, queen versus rook, queen versus rook and pawn, and rook and pawn versus rook. Certain positions in the endings of rook and bishop versus rook, rook and pawn versus rook, and queen versus rook have become known as
Philidor's position. Philidor concluded his book with two pages of (in the English translation), "Observations on the ends of parties", in which he set forth certain general principles about endings, such as: "Two knights alone cannot mate" (see
Two knights endgame), the ending with a bishop and rook pawn whose queening square is on the opposite color from the bishop is drawn (see ), and a queen beats a bishop and knight (see ).
Staunton's ''The Chess-Player's Handbook'' (1847) includes almost 100 pages of analysis of endgames. Some of Staunton's analysis, such as his analysis of the very rare rook versus three minor pieces endgame, is surprisingly sophisticated. At page 439, he wrote, "Three minor Pieces are much stronger than a Rook, and in cases where two of them are Bishops will usually win without much difficulty, because the player of the Rook is certain to be compelled to lose him for one of his adversary's Pieces. If, however, there are two Knights and one Bishop opposed to a Rook, the latter may generally be
exchanged for the Bishop, and as two Knights are insufficient of themselves to force checkmate, the game will be drawn." Modern-day
endgame tablebase
In chess, the endgame tablebase, or simply the tablebase, is a computerised database containing precalculated evaluations of chess endgame, endgame positions. Tablebases are used to analyse finished games, as well as by chess engines to evaluate ...
s confirm Staunton's assessments of both endings.
Yet Reuben Fine, 94 years after Staunton, erroneously wrote on page 521 of ''
Basic Chess Endings'' that both types of rook versus three minor piece endings "are theoretically drawn." Grandmaster
Pal Benko, an authority on the endgame and like Fine a world-class player at his peak, perpetuated Fine's error in his 2003 revision of ''Basic Chess Endings''. Grandmaster
Andrew Soltis in a 2004 book expressly disagreed with Staunton, claiming that the rook versus two bishops and knight ending is drawn with correct play. At the time Benko and Soltis offered their assessments (in 2003 and 2004, respectively), endgame tablebases had already proven that Staunton was correct, and that Fine, Benko, and Soltis were wrong, although the ending can take up to 68 moves to win.
Staunton's conclusions on these endgames were anticipated by the British master
George Walker, who wrote in 1846 (and perhaps earlier):
Although the two Bishops and Kt win, as a general proposition, against Rook, yet the two Knights with a Bishop cannot expect the same success; and the legitimate result of such conflict would be a draw. The Bishops, united, are stronger than the Knights, as they strike from a greater distance. When the two Knights are left with a Bishop, the Rook has also the chance of exchanging for the latter, which can hardly be avoided by his adversary, and the two Knights, alone, have not the mating power.
In 1941 Reuben Fine published his monumental 573-page treatise ''Basic Chess Endings'', the first attempt at a comprehensive treatise on the endgame. A new edition, revised by
Pal Benko, was published in 2003.
Soviet
The Union of Soviet Socialist Republics. (USSR), commonly known as the Soviet Union, was a List of former transcontinental countries#Since 1700, transcontinental country that spanned much of Eurasia from 1922 until Dissolution of the Soviet ...
writers published an important series of books on specific endings: ''Rook Endings'' by
Grigory Levenfish
Grigory Yakovlevich Levenfish (; – 9 February 1961) was a Soviet chess player who scored his peak competitive results in the 1920s and 1930s. He was twice Soviet champion, in 1934 (jointly with Ilya Rabinovich) and 1937. In 1937 he drew a m ...
and
Vasily Smyslov, ''Pawn Endings'' by
Yuri Averbakh and I. Maizelis, ''Queen and Pawn Endings'' by Averbakh, ''Bishop Endings'' by Averbakh, ''Knight Endings'' by Averbakh and
Vitaly Chekhover, ''Bishop v. Knight Endings'' by Yuri Averbakh, ''Rook v. Minor Piece Endings'' by Averbakh, and ''Queen v. Rook/Minor Piece Endings'' by Averbakh, Chekhover, and V. Henkin. These books by Averbakh and others were collected into the five-volume ''Comprehensive Chess Endings'' in English.
In recent years, computer-generated
endgame tablebase
In chess, the endgame tablebase, or simply the tablebase, is a computerised database containing precalculated evaluations of chess endgame, endgame positions. Tablebases are used to analyse finished games, as well as by chess engines to evaluate ...
s have revolutionized endgame theory, conclusively showing
best play in many complicated endgames that had vexed human analysts for over a century, such as
queen
Queen most commonly refers to:
* Queen regnant, a female monarch of a kingdom
* Queen consort, the wife of a reigning king
* Queen (band), a British rock band
Queen or QUEEN may also refer to:
Monarchy
* Queen dowager, the widow of a king
* Q ...
and pawn versus queen. They have also overturned human theoreticians' verdicts on a number of endgames; for example by proving that the two
bishops
A bishop is an ordained member of the clergy who is entrusted with a position of Episcopal polity, authority and oversight in a religious institution. In Christianity, bishops are normally responsible for the governance and administration of di ...
versus
knight
A knight is a person granted an honorary title of a knighthood by a head of state (including the pope) or representative for service to the monarch, the church, or the country, especially in a military capacity.
The concept of a knighthood ...
ending, which had been thought drawn for over a century, can be a win for the bishops (see and ).
Several important works on the endgame have been published in recent years, among them ''Dvoretsky's Endgame Manual'', ''Fundamental Chess Endings'' by
Karsten Müller and
Frank Lamprecht,
[Karsten Muller and Frank Lamprecht, ''Fundamental Chess Endings'', Gambit Publications, 2001. .] ''Basic Endgames: 888 Theoretical Positions'' by
Yuri Balashov and Eduard Prandstetter, ''Chess Endgame Lessons'' by Benko, and ''Secrets of Rook Endings'' and ''Secrets of Pawnless Endings'' by
John Nunn
John Denis Martin Nunn (born 25 April 1955) is an English chess grandmaster, a three-time world champion in chess problem solving, a chess writer and publisher, and a mathematician. He is one of England's strongest chess players and was form ...
.
[John Nunn, ''Secrets of Pawnless Endings'', Henry Holt, 1994. .] Some of these have been aided by analysis from endgame tablebases.
See also
*
Chess endgame literature
*
Chess piece relative value
In chess, a relative value (or point value) is a standard value conventionally assigned to each piece. Piece valuations have no role in the rules of chess but are useful as an aid to evaluating an exchange of pieces.
The best-known system assi ...
*
List of chess openings
This is a list of chess openings, organised by the ''Encyclopaedia of Chess Openings'' (''ECO'') code classification system. The chess openings are categorised into five broad areas ("A" through "E"), with each of those broken up into one hundred ...
References
{{Chess
Chess terminology