Multiplayer rock–paper–scissors

@article{Aten2019MultiplayerR,
  title={Multiplayer rock–paper–scissors},
  author={Charlotte Aten},
  journal={Algebra universalis},
  year={2019},
  volume={81},
  pages={1-31}
}
  • C. Aten
  • Published 18 March 2019
  • Mathematics
  • Algebra universalis
We study a class of algebras we regard as generalized rock–paper–scissors games. We determine when such algebras can exist, show that these algebras generate the varieties generated by hypertournament algebras, count these algebras, study their automorphisms, and determine their congruence lattices. We produce a family of finite simple algebras. 

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