Firstly, paintball is a team game where it is about the team winning not about an individual winner.
The players start from the starting point by a signal.
It is their tactics who runs where and how do they cooperate to fulfil the task.
During the game they try to eliminate the enemy by a hit of the paintballs to all of their body or gear.
The hit player leaves the field with no further contact or participation in the game.
Usually those who stay alive finish the task and win the game.
Before the next game the hoppers are filled and the hits are cleaned. The games take 3-5 minutes, so do not worry that you will be waiting while the others are playing.
In PPA there are scenarios as PPA BIG GAME or COUNTER STRIKE for those demanding ones.