Variants of \((s, t)\)-Wythoff's game

DOI10.1016/j.dam.2017.04.020zbMath1367.91042OpenAlexW2615502360MaRDI QIDQ2357128

Hai-yan Li, Wen An Liu, Aviezri S. Fraenkel, San-Yang Liu

Publication date: 19 June 2017

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.dam.2017.04.020

zbMATH Keywords

restriction\(P\)-positionnormal play convention\((s, t)\)-Wythoff's game

Mathematics Subject Classification ID

2-person games (91A05) Combinatorial games (91A46)

Related Items (3)

Adjoining to (K,s,t)-Wythoff's game its P-generators as moves ⋮ Extensions of the combinatorial game \(( K , t )\)-Wythoff ⋮ A class of extensions of restricted (\(s\), \(t\))-Wythoff's game

Cites Work

• General restriction of \((s,t)\)-Wythoff's game
• Two variants of Wythoff's game preserving its \(\mathcal P\)-positions
• Adjoining to \((s,t)\)-Wythoff's game its \(P\)-positions as moves
• The vile, dopey, evil and odious game players
• Wythoff games, continued fractions, cedar trees and Fibonacci searches
• Extensions and restrictions of Wythoff's game preserving its \(\mathcal P\) positions
• Geometrical extensions of Wythoff's game
• Nimhoff games
• Heap games, numeration systems and sequences
• On Frankel's \(N\)-heap Wythoff's conjectures
• Euclid and Wythoff games
• How to Beat Your Wythoff Games' Opponent on Three Fronts
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