Invariant games and non-homogeneous Beatty sequences

Julien Cassaigne, Eric Duchêne, Michel Rigo

We characterize all the pairs of complementary non-homogenous Beatty sequences $(A_n{)}_{n\ge 0}$ and $(B_n{)}_{n\ge 0}$ for which there exists an invariant game having exactly $\{(A_n…