Further generalizations of the Wythoff game and the minimum excludant

DOI10.1016/j.dam.2012.01.009zbMath1241.91028OpenAlexW2051366817MaRDI QIDQ423891

Vladimir A. Gurvich

Publication date: 30 May 2012

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

Full work available at URL: https://doi.org/10.1016/j.dam.2012.01.009

zbMATH Keywords

combinatorial gamesimpartial gamesSprague-Grundy functionfraenkel NIMminimal excludantNIMnormal and misère versionsWythoff NIM

Mathematics Subject Classification ID

Combinatorial games (91A46)

Related Items (7)

Adjoining to (K,s,t)-Wythoff's game its P-generators as moves ⋮ A polynomial algorithm for a two parameter extension of Wythoff NIM based on the Perron-Frobenius theory ⋮ Verification and generation of unrefinable partitions ⋮ Extensions of the combinatorial game \(( K , t )\)-Wythoff ⋮ Ordinal sums of impartial games ⋮ On tame, pet, domestic, and miserable impartial games ⋮ SELF-SIMILARITY OF 𝒫-POSITIONS OF (2n + 1)-DIMENSIONAL WYTHOFF’S GAME

Cites Work

• A polynomial algorithm for a two parameter extension of Wythoff NIM based on the Perron-Frobenius theory
• The vile, dopey, evil and odious game players
• Wythoff games, continued fractions, cedar trees and Fibonacci searches
• Misère annihilation games
• On the misere version of game Euclid and miserable games
• The Sprague-Grundy function for Wythoff's game
• On misere Nim-type games
• On sums of graph games with last player losing
• On tame, pet, domestic, and miserable impartial games
• Euclid and Wythoff games
• How to Beat Your Wythoff Games' Opponent on Three Fronts
• A Game Based on the Euclidean Algorithm and A Winning Strategy for it
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