Rulesets for Beatty games

DOI10.1007/s00182-017-0594-6zbMath1416.91060OpenAlexW2762009461MaRDI QIDQ1791291

Lior Goldberg, Aviezri S. Fraenkel

Publication date: 4 October 2018

Published in: International Journal of Game Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00182-017-0594-6

zbMATH Keywords

subtraction gamesBeatty gamesP-positions

Mathematics Subject Classification ID

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

Cites Work

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• The \(\star\)-operator and invariant subtraction games
• Two variants of Wythoff's game preserving its \(\mathcal P\)-positions
• Deciding game invariance
• Invariant and dual subtraction games resolving the Duchêne-Rigo conjecture
• Extensions and restrictions of Wythoff's game preserving its \(\mathcal P\) positions
• Invariant games
• Nonhomogeneous Beatty Sequences Leading to Invariant Games
• Beating Your Fractional Beatty Game Opponent and: What’s the Question to Your Answer?
• Chromatic Nim finds a game for your solution
• How to Beat Your Wythoff Games' Opponent on Three Fronts
• A mathematical investigation of games of “take-away”