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Knight Chase. Game played on with two Knights on a Chessboard with differing goals. (8x8, Cells: 64) [All Comments] [Add Comment or Rating]
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
/play/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.