On numbers and endgames: Combinatorial game theory in chess endgames

Details On numbers and endgames: Combinatorial game theory in chess endgames On numbers and endgames: Combinatorial game theory in chess endgames

1999-05-31

arxiv.org/abs/math/9905198v1

Pages 135-150 of "Games of No Choice" (Proceedings of 7/94 MSRI conference on combinatorial games), MSRI Publ. #29 (1996) via

Mathematics

Combinatorics

18 pages, including many chess diagrams printed with the Tutelaers fonts (differs only in trivial stylistic details from the v

Scientific paper

In an investigation of the applications of Combinatorial Game Theory to chess, we construct novel mutual Zugzwang positions, explain an otherwise mysterious pawn endgame from "A Guide to Chess Endings" (Euwe and Hooper), show positions containing non-integer values (fractions, switches, tinies, and loopy games), and pose open problems concerning the values that may be realized by positions on either standard or nonstandard chessboards.

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