Bad argumentation by repetition

I noticed that when arguing, surprisingly many people fall into the following pattern:

1. Person A provides argument A1
2. Person B provides counter argument to A1, namely B1
3. Person A provides counter argument to B1, namely A2 
4. Person B provides counter argument to A2, namely B3
5. Person A repeats argument A1 instead of providing a counter argument to B3
6. Person B reminds Person A that A1 has already been countered by B1 and that he needs to come up with a counter argument to B3
7. During the course of discussion Person A keeps on repeating some of the previous arguments and Person B usually gets frustrated by this repetition. Person A cannot understand why Person B is getting angry, even tough Person B has stated the reason.