People who have narcissitic personality exaggerate own importance, they have preoccupied with fantasies of success, power, beauty, intelligence, have unreasonable expectations of favorable treatment and take advantage of others to reach his or her own goals. On other hand, The symptoms of anti-social personality disorder are like that:

Not caring about the safety of himself, his acquintances or other people

Disregarding social behaviors and constantly carrying out actions that might lead to his arrestment

Displaying dishonest behaviors such as telling lies constantly, using different nicknames and deceiving others for personal benefits or just for pleasure

Displaying sudden behaviors without considering the consequences, not making any plans for future

Bad temper or tendency to be involved in fights and attacks.