On numbers and endgames: Combinatorial game theory in chess endgames
Abstract
Description
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.
18 pages, including many chess diagrams printed with the Tutelaers fonts (differs only in trivial stylistic details from the version published in "Games of No Chance")
18 pages, including many chess diagrams printed with the Tutelaers fonts (differs only in trivial stylistic details from the version published in "Games of No Chance")