It's all in the details. It looks like you were going for a visually stylistic fight scene, and if fights are expected to take time, visual appeal becomes very necessary. I would equate what's going on here to the sport of Boxing.
The high rate of random encounters comes three fold: a high tick rate, a probability that's not low enough, and a lack of immunity after each fight. To understand when the probability becomes unacceptable, you need to think about the probability of how many ticks would it take to reach a low probability of avoiding the encounter, which would be (9/10 ^ x). So, 0.9 * 0.9 = 0.81. Then, we say 0.81 * 0.9 = 0.729. The pattern would keep going until the probability becomes so low that you almost guarantee an encounter.