Problem #WSP - 000003

Problem

A technique that can be used to completely solve certain games is drawing game graphs. Given a game $G$, we draw an arrow pointing from a position $g$ to a position $h$ if there is a move taking the game from position $g$ to position $h$.

Draw the game graph of $\text{Nim}(2,2)$. Is $\text{Nim}(2,2)$ a winning position or losing position?