Could you give a worked example, it might help me understand exactly what you are meaning.
Okay.
Bob and Joe are facing off. Bob wants to get into a bar, Joe is there to keep him out. Bob is stonkered, and so has a -3 on his initiative. Joe is sober and kinda dextrous, so he gets a +1.
Bob's player rolls a 1 on the d20, meaning his initiative is a -2 (1 - 3). Which means his initiative is actually an 18 on the next round after this one (20 -2).
Joe's player rolls an 8 on the d20, meaning his initiative is a 9 (8 + 1). Figure that Bob is not steadiest target around, so it takes some time to assess the situation.
So Joe's attack is to take Bob by the arms and hustle him off, while Joe's defense is to ignore Joe and stumble into the club. Joe gets a +3, while Bob gets a -3.
Joe's roll is a 14. Bob's roll is a 0. Joe has a grip on Bob's arm and prepares to turn the drunk around. It's time for initiative again.
Bob's initiative is automatically an 18. Joe rolls a 12, so his initiative is a 13 (12 + 1).
Bob tries to get away, and rolls a 17 (20 - 3).
Joe tries to hold on, and rolls a 12 (9 + 3). This is going to be a long night.
Having lost initiative to Bob, Joe has to roll for the next round. He does, getting a 7 (6 + 1).
Bob rolls a 10 (13 -3). So he gets the first action, which he uses to stumble up to the doorway.
Since Joe didn't have to counter whatever Bob did, he gets an action. Which is to tackle Bob and bring him down. His roll is an 18 (17 + 1), and since Bob isn't trying to defend himself, he gets no defense. Bob, screeching and flailing with outrage, goes down. With the aid of some bar patrons Bob is subdued, cuffed, and in good time handed over to the police.
Was that what you were looking for?