[math-fun] Chess variant

Ordinary chess forbids moving into check (and hence from moving into checkmate), which means you automatically lose if there's no way to avoid moving into check. Is there a variant of chess in which you're not allowed to make a move that would cause you to lose 2 moves in the future? (Replacing 2 by larger integers, we get a game in which the legality of a move can become rather murky!) Jim