Congrats, your are sad. So, so sad.
Having the last word is closely associated with ego. Egomaniacs always have to have the last word. It gives them a feeling of power, as if they immediate draw all of the power of the person they are communicating with and become powerful due to it.
This feeling is short-lived as it is only a state of mind, and most people who have any sense of understanding of human psychology knows that people that do this are only doing it because they feel insecure, competitive, hardheaded and lack confidence often in their own intellect or are in need of covering tracks.
A person who has to have the last word is fundamentally flawed. Their flaws are for the world to see. They may be charismatic and draw people in, but if you listen to their conversations and in the modern age, look at their posts on social media, you will see a common thread of egocentricity and a need for supremacy.
Those who have to have the last word feel uncomfortable when that power is taken away from them and they usually end up fighting or in an argument because this has been taken away from them. They lash out and look for ways to rectify this.
People with this "disease" usually strive to be the only voice over the people around them. They often never rise to the top in career or business, so they adapt their personal profiles so that they can be seen as "winning" in some area that they feel no-one can compete.
Their need for respect and to be liked, more so than those around them, usually is their undoing.
If you have to have the last say, think to yourself, "what am I afraid of?" Because ultimately, having the last say, means nothing.