Power Struggle

Is every human interaction a type of power struggle? I am throwing this around in my head (To maybe figure out how to express this mathematically). Think about one of the most common practices today: gossip. Why do people gossip (or "talk shit")? I think it is so that when the person being gossiped about enters the immediate environment that the gossiper and their cohorts will laugh at/ scoff at/ despise that person with the gossiper. This is the gossiper's attempt to gain a type of power, or a type of following.
Think about this on a larger scale. Talk shit about an entire group of people, get many to agree with you on what you say. You get people like Hitler, Pat Robertson, and the like.
This whole idea is based on "the one who is the enemy of my enemy is my friend". This is a very basic, and i think, primal idea. Probably because it is the easiest way to create a following, team or "tribe".
It is interesting how it works too, because as soon as you gain power over someone or a group, the more likely you are to have a following. This of course stems from the non-alphas fear of becoming a victim of your "gossip". They don't want to be made fun of by all their peers. So they join you in hopes of being the beta male/female or in hopes of overthrowing you and becoming the new alpha.
Evidence of this is apparent. Look at any social setting. You can easily pick out who is the alpha simply by observing how many interactions there are per person per direction. What I mean is that more people will be interacting with the alpha than anyone else in the group. The way they will talk is in such a manner as to be talking to the whole group but have the focus of their attention on the alpha to gain their approval. If the alpha approves, the team will approve(in most cases). This is to gain ranking in the heirarchy of social interaction. It is the desire to be number one.
This also leads into the reason why there is such thing as "group think", which is basically not thinking for yourself, but letting a group or the leader of group tell you how to think. Religions, political parties, gangs, groups of friends, families, all fall into this catagory.