First player win: G ║ 0 (G is fuzzy with 0) Using standard Dedekind-section game notation, {L|R}, where L is the list of undominated moves for Left and R is the list of undominated moves for Right, a fuzzy game is a game where all moves in L are strictly non-negative, and all moves in R are strictly non-positive.
One example is the fuzzy game * = {0|0}, which is a first-player win, since whoever moves first can move to a second player win, namely the zero game.
An example of a fuzzy game would be a normal game of Nim where only one heap remained where that heap includes more than one object.
In Blue-Red-Green Hackenbush, if there is only a green edge touching the ground, it is a fuzzy game because the first player may take it and win (everything else disappears).
No fuzzy game can be a surreal number.