One-pile Nim games with arbitrarily many random players

DOI10.1016/j.dam.2018.09.006zbMath1407.91070OpenAlexW2898101682WikidataQ129046487 ScholiaQ129046487MaRDI QIDQ1727724

Jia Wei Duan, Jing Wang, Wen An Liu

Publication date: 20 February 2019

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

Full work available at URL: https://doi.org/10.1016/j.dam.2018.09.006

zbMATH Keywords

Nimmulti-player gamesalliance matriximpartial combinatorial gamesrandom player

Mathematics Subject Classification ID

(n)-person games, (n>2) (91A06) Combinatorial games (91A46)

Cites Work

• One pile misère bounded Nim with two alliances
• General restriction of \((s,t)\)-Wythoff's game
• Analyzing \(n\)-player impartial games
• Adjoining to \((s,t)\)-Wythoff's game its \(P\)-positions as moves
• General restrictions of Wythoff-like games
• Misère Nim with multi-player
• A restricted version of Wythoff's game
• Analysis of one pile misère Nim for two alliances
• Multi-player subtraction games
• Nim with one or two dynamic restrictions
• Extensions and restrictions of Wythoff's game preserving its \(\mathcal P\) positions
• \(N\)-player partizan games
• Geometrical extensions of Wythoff's game
• Nimhoff games
• \(N\)-person Nim and \(N\)-person Moore's games
• Dynamic one-pile blocking Nim
• Three-player impartial games.
• One-pile misère Nim for three or more players
• \(n\)-player impartial combinatorial games with random players
• Three Person Winner-Take-All Games with McCarthy's Revenge Rule
• A Generalization of Wythoff's Game^*
• The game of End-Nim
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