The closest two players are merely two solar systems away from one another. The furthest I believe is seven. In case anyone was curious.

The way it is works is if two players jump into a system simultaneously without military escort, than there is a 25% chance of conflict.

If one player has a military escort, it is a 50% chance of conflict.

If both players have a military escort, it is 75% chance.

You may think "Well I just won't use military escorts at all!" well there is still a chance regardless and if they do have an escort it fairs badly for you.