From: Veit Elser <ve10@cornell.edu>

This reminds me of a game we played in high school on graph paper called "racetrack". ... (2) The change in the displacement vector of any player may change, from one move to the next, by at most one unit horizontally *or* vertically.

From: Hans Havermann <pxp@rogers.com>

http://chesswanks.com/txt/RaceTrack.html

I notice that the two are variants, at the point emphasised above. I'm not sure which version would be harder to find an optimal strategy in. Phil