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  2. Zermelo's theorem (game theory) - Wikipedia

    en.wikipedia.org/wiki/Zermelo's_theorem_(game...

    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).

  3. Solving chess - Wikipedia

    en.wikipedia.org/wiki/Solving_chess

    A winning strategy for Black in Maharajah and the Sepoys can be easily memorised. The 5×5 Gardner's Minichess variant has been weakly solved as a draw. [ 7 ] Although losing chess is played on an 8×8 board, its forced capture rule greatly limits its complexity, and a computational analysis managed to weakly solve this variant as a win for White.

  4. Chess theory - Wikipedia

    en.wikipedia.org/wiki/Chess_theory

    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. Those who write about chess theory, who are often also eminent players, are referred to as "chess theorists " or ...

  5. King and pawn versus king endgame - Wikipedia

    en.wikipedia.org/wiki/King_and_pawn_versus_king...

    King and pawn versus king endgame. The chess endgame with a king and a pawn versus a king is one of the most important and fundamental endgames, other than the basic checkmates. [1] It is an important endgame for chess players to master, since most other endgames have the potential of reducing to this type of endgame via exchanges of pieces.

  6. Rook and pawn versus rook endgame - Wikipedia

    en.wikipedia.org/wiki/Rook_and_pawn_versus_rook...

    In a few cases, the superior side gives up their rook in order to promote the pawn, resulting in a winning queen versus rook position (see Pawnless chess endgame § Queen versus rook). A rule of thumb (with exceptions) is: if the king on the side without the pawn can reach the queening square of the pawn, the game is a draw ; otherwise it is a ...

  7. My System - Wikipedia

    en.wikipedia.org/wiki/My_System

    My System ( German: Mein System) is a book on chess theory written by Aron Nimzowitsch. Originally over a series of five brochures from 1925 to 1927, the book—one of the early works on hypermodernism —introduced many new concepts to followers of the modern school of thought. It is generally considered to be one of the most important books ...

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