I'm pretty sure that's Agreeableness, not Introversion. Often, the term "extrovert" is used to describe someone who prefers social gatherings, while "introverts

I'm pretty sure that's Agreeableness, not Introversion. Often, the term "extrovert" is used to describe someone who prefers social gatherings, while "introverts" would be just as happy reading a book. You'd definitely describe Steve Jobs as a disagreeable leader, while Barack Obama is agreeable. And "prefers the company of others" is not an essential attribute of leaders. Belbin (one of the better leadership / teamwork gurus) suggests conscientious "Shapers" or creative "Plants" make the best leaders. Agreeableness (which you call Extroversion - the terminology doesn't really matter) doesn't seem to play a big part. Most management writers suggest that open communication and integrity are important in leadership roles, not a willingness to make smalltalk.