General restriction of \((s,t)\)-Wythoff's game

zbMath1305.91053MaRDI QIDQ405250

Wen An Liu, Hai-yan Li

Publication date: 4 September 2014

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: http://www.combinatorics.org/ojs/index.php/eljc/article/view/v21i2p44

zbMATH Keywords

Wythoff's gameimpartial combinatorial game\(P\)-positionmisère conventionnormal convention

Mathematics Subject Classification ID

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

Related Items (13)

One pile misère bounded Nim with two alliances ⋮ Multi-player small Nim with passes ⋮ a-Wythoff’s game with n players ⋮ Extensions of the combinatorial game \(( K , t )\)-Wythoff ⋮ Multi-player End-Nim games ⋮ One-pile Nim games with arbitrarily many random players ⋮ General restrictions of Wythoff-like games ⋮ Misère Nim with multi-player ⋮ A class of extensions of restricted (\(s\), \(t\))-Wythoff's game ⋮ Multi-player Wythoff's game and its variants ⋮ Polynomial time winning strategies for three variants of \((s,t)\)-Wythoff's game ⋮ Multi-player subtraction games ⋮ Variants of \((s, t)\)-Wythoff's game

Cites Work

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• A restricted version of Wythoff's game
• 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
• Adjoining to Wythoff's game its P-positions as moves
• Heap games, numeration systems and sequences
• On Frankel's \(N\)-heap Wythoff's conjectures
• Euclid and Wythoff games
• A Generalization of Wythoff's Game^*
• How to Beat Your Wythoff Games' Opponent on Three Fronts

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