He also used an activity-point based combat system. He would start at 0, you would declare an action that took X number of points, and then he'd start counting up. 1, 2, 3, etc. A basic attack I think was 10pts, +/- depending on weapon speed (daggers had negative weapon speed, 2H weapons had positive). So if you declared a broadsword attack, at pt 10 you would roll and do your damage then declare what your next action is and wait until that action was executed.
If your action was execute on the same phase as someone else, I think the higher QU went first, or maybe there was a QU roll.
It was an interesting campaign but was 20 years ago.
-shnar