How does open source version control system resolve conflicts?

So, everyone would have access to the whole code (say, of our laws). It would be possible to track every change to whoever made it. However, I don't see how this innovative Version Control System resolves conflicts. What happens if two people have a very different idea on how a particular paragraph should look like? Do they settle this between themselves or are all affected by the change engaged in problelm resolution? What ensures that the best variant is chosen?