In the context of dynamic feedback problems in tournaments, there are lower bounds on the update and query times that provide a theoretical limit on the efficiency of dynamic algorithms. The presented algorithms can be compared to these lower bounds to assess their performance. If the algorithms achieve a time complexity that matches or improves upon the lower bounds, it indicates that they are optimal or near-optimal in terms of computational efficiency. On the other hand, if the algorithms fall short of the lower bounds, it suggests that there may be room for further optimization or algorithmic improvements to enhance their efficiency.