What exactly is a Alpha Male?

I found 2 definitions for you: a term used to describe a macho male character within a romance. www.fictionforum.net/writers/articles/art01-02.html An alpha male or alpha female is the individual in the community to whom the others follow and defer. Humans and their nearest species-relatives, the chimpanzees, show deference to the alpha of the community by ritualized gestures such as bowing, allowing the alpha to walk first in a procession, or standing aside when the alpha challenges. Canines also show deference to the alpha male in their pack, by allowing him to be the first to eat and the first to mate. ... en.wikipedia.org/wiki/Alpha_male

alpha male is the leader of the pack and the one everybody in that pack tries 2 be like

I have no idea what it means.

I don't know about acting badly, but I believe it is the dominate male.