Another form of matrix Nim (Q5942563)
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scientific article; zbMATH DE number 1638987
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Another form of matrix Nim |
scientific article; zbMATH DE number 1638987 |
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Another form of matrix Nim (English)
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16 October 2001
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Summary: A new form of 2-dimensional Nim is investigated. Positions are rectangular matrices of non-negative integers. Moves consist of choosing a positive integer and a row or column and subtracting the integer from every element of the chosen row or column. Last to move wins. The \(2\times 1\) case is just Wythoff's game. The outcomes of all \(2\times 2\) positions are found in both the impartial and partizan cases. Some hope is given of being able to solve sums of \(2\times 2\) games in the partizan case.
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two-dimensional Nim
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Wythoff's game
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partizan case
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