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The third and final post on impartial games is out. Nothing to crazy, just some more in-depth examples of the Sprague-Grundy theorem in action.
theboardgamescholar.com/2021/0

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@FreddyR I thought it was "break"? Like break a pile into two pieces?

If you haven't seen it already I have a paper on subtraction games that you might be interested in: doi.org/10.4230/LIPIcs.FUN.201

@FreddyR Also, here's a research question I don't know the answer to. Many two-player games are either PSPACE-complete or EXPTIME-complete, mostly depending on whether there is a polynomial bound on the number of moves. Is it possible to prove hardness of this type for a subtraction game with a single pile of stones? There's a result sort of like this at the end of dspace.cvut.cz/bitstream/handl but it's for a generalized kind of game "subtraction with hotspots" not a pure impartial subtraction game.

@11011110 It is break, apparently I can't spell. 🤦‍♂️ Will definelty give the paper a read!

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