[quote=Captain Jordan]
Finding a balance between this, and being a dictator, is the crux of any good leadership. Good luck!
[/quote]

You -are- the dictator, though. That's not the question. All the power is in your hands, you made the world, its denizens, problems, ideologies, and geography. Right down to the last droplet rolling down a leaf is your doing, you are, for all tense and purposes, [b]a god[/b] of this world, and get to supremely judge who can and cannot be within its boundaries which you have set.

That being said, when two players argue, you can either let em' go at it to the inevitable conclusion that one or both leave, or you can step in and tell them both that continued argument warrants being dropped due to ruining it for everyone else, over what is likely a petty dispute that can be resolved amicable. If they refuse to listen and continue to argue, drop them. If they continue to post in your thread, request a moderator to remove them and give them a slap on the wrist.

If they won't listen to you when you tell them to stop arguing, they won't listen to you when you tell them that some such behaviour or another in the IC was unacceptable, and that completely removes your ability to create any sort of suspense or danger, seeing as how they'll just rip straight through it with a plot hole the size of the one at the centre of our galaxy. Ergo, they're harmful, remove them. If they listen, then you can calm them down, intentionally delay "negotiations" for a day to let them cool their heads and give you a chance to talk to each of them individually to address the problem, then come to a resolution, and state that resolution as the Word of God. Blam, it's now canonical. Problem solved. If one or both erupt into arguing again, refer to the "plot hole black hole" comment earlier.