On numbers and endgames: Combinatorial game theory in chess endgames

dc.creatorElkies, Noam D.
dc.date1999-05-31
dc.date.accessioned2026-07-07T05:29:18Z
dc.date.available2026-07-07T05:29:18Z
dc.descriptionIn 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.
dc.description18 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")
dc.identifierhttps://arxiv.org/abs/math/9905198
dc.identifierhttp://arxiv.org/abs/math/9905198
dc.identifierPages 135-150 of "Games of No Choice" (Proceedings of 7/94 MSRI conference on combinatorial games), MSRI Publ. #29 (1996) via Cambridge U. Press
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78588
dc.subjectCombinatorics
dc.subject90D46, 90D80
dc.titleOn numbers and endgames: Combinatorial game theory in chess endgames
dc.typetext

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