The game is called 'king of the hill'. Basically the first person is the king of the hill, the next person in the topic has to do something so that he becomes the king of the hill. Example:
Person A: I'm King of the Hill!
Person B: I pushed you down. Now I'm King of the hill.
Ok I'll start. I'm King of the hill
P.S. Stop with the shoving off and add in some creativity.
I return and use my mastery of the rules to show that I am still king as nobody shoved me off.
(You automatically shove the person above you even if they aren't king therefore there must be two shoves either by the same person or by two (or more, who knows) different people.