Paper by Erik D. Demaine

Reference:
Erik D. Demaine and Quanquan Liu, “Chess Equilibrium Puzzles”, Mathematics Magazine, volume 96, number 4, 2023, pages 391–398.

Abstract:
Chess is perhaps the best-known two-player board game, played on a square chessboard consisting of 64 smaller squares, alternating in black and white colors, and 16 pieces for each player. While chess itself is a game that is enjoyed internationally by a wide variety of people, chess puzzles are also enjoyed by both chess professionals and chess enthusiasts alike. Many professional puzzle hunts feature some form of chess puzzles, usually requiring puzzle solvers to determine previous moves or a move that would mate in 1. Some examples of such puzzles may be found in Martin Gardner's The Colossal Book of Short Puzzles and Problems [4]. In this short exposition, we introduce a new type of chess puzzle that we call Chess Equilibrium puzzles. Our puzzles are a new spin on the traditional retrograde or mate-in-1 puzzles found in recreational mathematics.

Length:
The paper is 8 pages.

Availability:
The paper is available in PDF (1041k).
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Last updated February 26, 2024 by Erik Demaine.