Combinatorial Game Rulesets

Combinatorial games are two-player, perfect-information games with no randomness. This table contains many rulesets and known properties. I update it as I learn new things.

New: Hover over the name cell of a ruleset to see a brief description. I don't have descriptions for all of them yet.

Rulesets

Ruleset	Image and Variants	Partiality	Length	Initial Position Outcome Classes	Computational Complexity	Other Properties

†unpublished or not-yet-published. (Please challenge these!)

Acknowledgements

Thanks to these people for helping me put this together! (Did I forget you? Please email me: .)

Ernie Heyder, for helping me code the initial versions of this table.
Silvia Heubach, for telling me about Circular Nim.
Reddit user _--__, for telling me about The Parity Game.

Here is the GitHub Repo for the underlying javascript I use to put this all together.