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10
votes
1answer
227 views

Nim and the Sierpinski Gasket

(I discovered this in high school, sent it off to a journal, never heard back, and forgot about it. I've never found anyone else who appeared to know about it; the combinatorial game theorists I've ...
0
votes
2answers
307 views

Generalized Sprague-Grundy Theorem

Hey, I know what is Sprague-Grundy theorem, but I want to know about generalized Sprague-Grundy (GSG) theorem ( which is used for games with cycles ). Apparently there seems to be very less ...
2
votes
7answers
1k views

Nim-like(?) game winning strategy?

I have the following Nim-like game (at least, it seems Nim-like to me). There are $2k$ tokens in a row, $k \in \mathbb{N}$. Each token $a_i$ has a value $ v_i \in \mathbb{N}$ All this information ...
2
votes
1answer
947 views

The game of “nimble” with no stacking

The game of Nimble is played as follows. You have a game board consisting of a line of squares labelled by the nonnegative integers. A finite number of coins are placed on the squares, with possibly ...