How to Beat Your Wythoff Games' Opponent on Three Fronts
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Publication:4740359
DOI10.2307/2321643zbMath0504.90087OpenAlexW4238010401MaRDI QIDQ4740359
Publication date: 1982
Published in: The American Mathematical Monthly (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/2321643
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Stability for Take-Away Games ⋮ Computational Hardness of Multidimensional Subtraction Games ⋮ Complexity, appeal and challenges of combinatorial games ⋮ Adjoining to (K,s,t)-Wythoff's game its P-generators as moves ⋮ On the misere version of game Euclid and miserable games ⋮ The use and usefulness of numeration systems ⋮ A polynomial algorithm for a two parameter extension of Wythoff NIM based on the Perron-Frobenius theory ⋮ Vertex Nim played on graphs ⋮ General restriction of \((s,t)\)-Wythoff's game ⋮ Two variants of Wythoff's game preserving its \(\mathcal P\)-positions ⋮ Further generalizations of the Wythoff game and the minimum excludant ⋮ A morphic approach to combinatorial games: the Tribonacci case ⋮ a-Wythoff’s game with n players ⋮ The Sprague-Grundy function for Wythoff's game ⋮ Extensions of the combinatorial game \(( K , t )\)-Wythoff ⋮ Adjoining to \((s,t)\)-Wythoff's game its \(P\)-positions as moves ⋮ From Combinatorial Games to Shape-Symmetric Morphisms ⋮ A two-parameter family of an extension of Beatty sequences ⋮ Patterns in the generalized Fibonacci word, applied to games ⋮ Games played by Boole and Galois ⋮ On tame, pet, domestic, and miserable impartial games ⋮ A class of extensions of restricted (\(s\), \(t\))-Wythoff's game ⋮ Iterated Floor Function, Algebraic Numbers, Discrete Chaos, Beatty Subsequences, Semigroups ⋮ Extensions and restrictions of Wythoff's game preserving its \(\mathcal P\) positions ⋮ Multi-player Wythoff's game and its variants ⋮ Invariant games ⋮ Polynomial time winning strategies for three variants of \((s,t)\)-Wythoff's game ⋮ Rulesets for Beatty games ⋮ Multi-player subtraction games ⋮ Sumsets associated with Wythoff sequences and Fibonacci numbers ⋮ Nonhomogeneous Beatty Sequences Leading to Invariant Games ⋮ Cubic pisot unit combinatorial games ⋮ Geometrical extensions of Wythoff's game ⋮ Adjoining to Wythoff's game its P-positions as moves ⋮ Heap games, numeration systems and sequences ⋮ Wythoff's sequence and \(N\)-heap Wythoff's conjectures ⋮ A new heap game ⋮ Euclid and Wythoff games ⋮ SELF-SIMILARITY OF 𝒫-POSITIONS OF (2n + 1)-DIMENSIONAL WYTHOFF’S GAME ⋮ Sumsets associated with Beatty sequences ⋮ Variants of \((s, t)\)-Wythoff's game
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