2 problems

Let a family of impartial poset games be combined by the lexicographic product, and let the value of each factor be given in the corresponding impartial-game value theory. Clow–Fin…

Let $A$ and $B$ be poset games, with $B=2^n$ for some $n\in\mathbb{N}_0$, and suppose that $B$ is weakly-canonical. Let $A\otimes B$ be their lexicographic product, whose underlyin…