By period, I would bet on the European knight, given that both had similar skill levels. European armor and shield tech was simply far superior. Later period, I would go with Samurai. While rapiers were deadly, a fully kitted Samurai is better equipped than a Renaissance soldier.
Now, take them out of their armo, and the tables turn. The Samurai slaps the kinght around and calls him Susan. Kenjutsu is far superior in unarmored combat than European style, and the Katana has the edge (no pun intended) as well. The converse is true in the Ren-years though. Samurai vs. rapier-wielding fencer would have a very hard time. European fencers were supremely effective in light combat.
Neat mental exercise.
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