Well the game would always be a draw, unless there was some program that overrides the material count if it spots a mate in 15 or something, but I doubt one engine would allow a forced mate within a certain depth.
Otherwise the side that could mate would just give up all the material possible.
What would a game look like if all the piece values were negated? Here's the answer to that question.
This is Nagaskaki playing against itself with the following piece values.
Queen: -900
Rook: -500
Bishop: -300
Knight: -300
Pawn: -100
And this is what happened.