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Summary: COMBINATORIAL PAWN POWER
Samee Ullah Khan
Ishfaq Ahmad
Abstract
This paper extends some of the basic results on chess endgames. In par-
ticular we analyze five famous endgames in the history of chess. We propose
some new analytical constructs that help in understanding the outcome of the
endgames and accurately project the winners. The generalized analysis of
endgames enable us to obtain some remarkable game position values such
as: -1, -1
2, 3
2 , , , 0, , 2, -2 ,, {0, | 0}, 1 , 1, 2, 3, dud , over
and under.
1 The Buildup
The endgame is the final phase of a chess game. Most spectators find these final
few moves as boring and unattractive. However, it is these moves that often decide
the winner of a game.
The endgame is vastly neglected because much emphasis is put on identifying
positive and strong opening manoeuver(s). Chess is such a complex game that
it would be useless not to study all the aspects of the game. Endgames in par-
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