Just want to share a little story with you, for your amusement.
About 16 years ago, small town in Ukraine near Donetsk. I'm about 12 years old, plenty of time - and nothing to do. Hadn't had fancy gaming PC back then, but I've already played Carmageddon on my friend's computer, and was VERY excited about it. So, I've made a pen and paper version of it, to play with my friends and siblings.
On a square grid paper, there was a city (top-side view). Buildings were, well, rectangles, and pitiful pedestrians were just dots on our quest for mayhem. We've played with dice, taking turn and moving our "cars" around using a ruler - each player had his (or her) own colored pencil for drawing trails.
Pretty simple rules: you must move as much as you've scored on a d6 die, and can't take sharp turns (wall smashing!). Also, the more momentum you've built (moving in a straight line) - more damage you deal to other player! Peds were scores, and goal of the game was pretty obvious.