Some observations and solutions to short and long global Nim.
Short global and long global nim are variations on the rules of the classic game Nim. In short global nim, the move previously played cannot be immediately mirrored by the other player in any pile. In long global Nim, any move played in the game cannot be repeated for the rest of the game. The N and P positions are explored in this paper, as well as the Grundy numbers of positions in both games.