How did the Mayflower Compact solve the problem of great distance from authority?

One of the chief concerns for those that set sail on the Mayflower was how to organize themselves, especially with a variety of factions, once they got to the new world.

This wasn't a problem in England as you did what the King and his government wanted you to do.

The Mayflower Compact was ingenious, then, as it allowed for a structure where people knew the rules of the game and allowed for decisions to be made.