Little Big Man Syndrome is a condition exhibited by an Alpha Male who attempts to Alpha another Alpha male or a Beta Male even when he stands to gain nothing from the situation. For example, they will insult someone who did not insult them, they will voice opinions that were not solicited and they typically have Delusions of Granduor and believe they are bigger than they are.

They typically like to be the big fish in a small pond because they know that if they move to a bigger pond there will undoubedly be a stronger alpha male there that doesn't tolerate that attitude.