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Chess initial position. The game of chess is commonly divided into three phases: the opening, middlegame, and endgame. [1] There is a large body of theory regarding how the game should be played in each of these phases, especially the opening and endgame.
In game theory, Zermelo's theorem is a theorem about finite two-person games of perfect information in which the players move alternately and in which chance does not affect the decision making process. It says that if the game cannot end in a draw, then one of the two players must have a winning strategy (i.e. can force a win).
The opening is the initial stage of a chess game. It usually consists of established theory.The other phases are the middlegame and the endgame. [1] Many opening sequences, known as openings, have standard names such as "Sicilian Defense".
The Encyclopaedia of Chess Openings (ECO) is a reference work describing the state of opening theory in chess, originally published in five volumes from 1974 to 1979 by the Yugoslavian company Šahovski Informator (Chess Informant). It is currently undergoing its fifth edition.
Chess opening theory books that provide these tables are usually quite large and difficult for beginners to use. Because the table entries typically do not include the themes or goals involved in a given line, beginners will either try to memorize the tables or simply drown in the detail.
To better understand the game tree, it can be thought of as a technique for analyzing adversarial games, which determine the actions that player takes to win the game. In game theory, a game tree is a directed graph whose nodes are positions in a game (e.g., the arrangement of the pieces in a board game) and whose edges are moves (e.g., to move ...
1913. "On an Application of Set Theory to the Theory of the Game of Chess" in Rasmusen E., ed., 2001. Readings in Games and Information, Wiley-Blackwell: 79–82. 1930. "On boundary numbers and domains of sets: new investigations in the foundations of set theory" in Ewald, William B., ed., 1996.
Lasker's Manual of Chess (German: Lehrbuch des Schachspiels) is a book on the game of chess written in 1925 by former World Chess Champion Emanuel Lasker. The content of the book, as Lasker himself writes, is most influenced by the theories put forth by Steinitz , as well as Staunton 's The Chess-Player's Handbook .