As nouns the difference between madman and psychopath

is that madman is a male who is insane or mentally disturbed while psychopath is a person with a personality disorder indicated by a pattern of lying, cunning, manipulating]], glibness, exploiting, heedlessness, arrogance, [[delusion of grandeur|delusions of grandeur, sexual promiscuity, low self-control, disregard for morality, lack of acceptance of responsibility, callousness, and lack of empathy and remorse such an individual may be especially prone to violent and criminal offenses.