narcissist vs. selfish

a person who is overly self-involved, and often vain and selfish.

Psychiatry.,  a person who has narcissistic personality disorder.

Psychoanalysis.,  a person who experiences or exhibits narcissism, deriving erotic gratification from admiration of their own physical or mental attributes.

devoted to or caring only for oneself; concerned primarily with one's own interests, benefits, welfare, etc., regardless of others.

characterized by or manifesting concern or care only for oneself.