Ben Reiniger wrote on Sat, Apr 9, 2011 06:50 PM UTC:
See also 'Joust', described here
http://www.chessvariants.org/programs.dir/joust.html
and with Friedlander applet here
http://play.chessvariants.org/erf/Joust.html
(In Joust, the question as to whether the knights can capture one another is interesting. If yes, only one player has this option and thus an advantage (?); but if no, one player has an additional blocking ability that the other does not.)
Joust is interesting from a mathematical combinatorial game theory perspective, as it should be solvable with enough thought/force. Knight Chase introduces an extra element of droppable markers and a time limit, which should make mathematical statements more difficult.