In Arthur Miller's essay about "Tragedy and the Common Man," he argues that the common man is as appropriate a subject for tragedy as the very highly placed kings and noble men. Mankind keeps tragedy above all forms because they are given the same mental abilities as the nobles. In "Death of a Salesman", Willy Loman is a common man and a middle class worker, enough saving to provide food for his family. So if the tragic hero can be a common man, does Willy fit in that category? Even though he is a common man he fails to live...
In all his mistakes, Willy fails to be a good father. Instead he is crazy selfish failure. Later on, this aspect of his was defined as a failure.

By studying the character of Willy Loman carefully it is evident that he is not a tragic hero. He neglects his responsibilities as a father. He is not truthful, and this leads to loss of his pride and dignity. Willy is blinded by his pride that he did not realize the consequences of his actions. Unlike a true tragic hero, Willy does not admits his own errors and his false pride.