Many players know that the secret to winning the game of Nim (and other “impartial ” combinatorial games) is to write the sizes of the game’s piles in base 2 and then add them together without carry. The proof of this well-known procedure (described below) is both straightforward and convincing
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We enumerate P-positions in the game of Nim in two different ways. In one series of sequences we enu...
The traditional game of Nim is an impartial game for two players that plays a central role in combin...
The solutions of certain combinatorial games are of a particularly nice form. For the games we shall...
International audienceThe game of nim, with its simple rules, its elegant solution and its historica...
Combinatorial games are finite games where players are aware of all plays at all times and there is ...
Combinatorial games are finite games where players are aware of all plays at all times and there is ...
In this presentation we investigate a variation of the combinatorial, impartial game of Nim that, in...
Abstract. In this paper I analyze the game Nim, starting with an introduc-tion of the game and endin...
The purpose of this paper is to solve a special class of combinational games consisting of two-pile ...
The game of chess appears to be hard. According to authoritative sources, this is due to the extreme...
We introduce a generalization of the classical game of Nim by placing the piles on the vertices of a...
A Nim-type computer game of strategy on plane is described in this paper. It is demonstrated that wi...
In this paper, we offer a complete strategy for a variant of Nim which is partial. Such a strategy c...
This paper acts as an overview of the basics of combinatorial game theory followed by an in-depth an...
Take at least one cookie from any one pile The player who takes the last cookie win
We enumerate P-positions in the game of Nim in two different ways. In one series of sequences we enu...
The traditional game of Nim is an impartial game for two players that plays a central role in combin...
The solutions of certain combinatorial games are of a particularly nice form. For the games we shall...
International audienceThe game of nim, with its simple rules, its elegant solution and its historica...
Combinatorial games are finite games where players are aware of all plays at all times and there is ...
Combinatorial games are finite games where players are aware of all plays at all times and there is ...
In this presentation we investigate a variation of the combinatorial, impartial game of Nim that, in...
Abstract. In this paper I analyze the game Nim, starting with an introduc-tion of the game and endin...
The purpose of this paper is to solve a special class of combinational games consisting of two-pile ...
The game of chess appears to be hard. According to authoritative sources, this is due to the extreme...
We introduce a generalization of the classical game of Nim by placing the piles on the vertices of a...
A Nim-type computer game of strategy on plane is described in this paper. It is demonstrated that wi...
In this paper, we offer a complete strategy for a variant of Nim which is partial. Such a strategy c...
This paper acts as an overview of the basics of combinatorial game theory followed by an in-depth an...
Take at least one cookie from any one pile The player who takes the last cookie win
We enumerate P-positions in the game of Nim in two different ways. In one series of sequences we enu...
The traditional game of Nim is an impartial game for two players that plays a central role in combin...