2 problems

Let $p$ be the number of spots in the starting position of a game of Sprouts, and let its nimber be the associated Sprague–Grundy value. Nimber conjecture. The nimber for the start…

For a game value $X$, let $f(X)$ be the minimum number of vertices in a digraph placement game having value $X$. For an integer $n\geq1$, let ${\ast n}$ denote the nimber of order…