If you can't even answer something like this, then it proves your lore department is non-existent.
EDIT: I have my doubts that they're just called "Demacia" and "Noxus". That sounds kinda lazy and unrealistic.
GreenLore17 votesDemacia and Noxus were often referred to as city states. So its likely that Demacia and Noxus are the capitals and they reign over the surrounding territory.
Sharjo9 votesThis pretty much. Noxus has been referred to as an Empire before, so it stands to reason that Noxus is the capital of the Noxian Empire, with said empire being all the land under their control outside of the borders of Noxus itself.
Demacia probably operates similarly, with someone like Quinn coming from "the sticks", ergo coming from countryside that is governed by Demacia, not from the capital city.
Now that I think about it, all of Noxus's champions have origins with the capital, either as part of the aristocracy, slums or otherwise. We need a Noxian from the sticks!
Also as far as I'm aware, a bunch of capital cities in the real world literally translate to "capital" or "Capital city" or something to that effect, so the Kingdom of Demacia and the Empire of Noxus having capitals named Demacia and Noxus isn't that unusual.
Only Play Darius1 votes
Duke Anax1 votesThere are several empires in our history that spread from a central city and were known under the same name, Rome being the prime example.
Trylobyte4 votesYup, Demacia and Noxus are city-states rather than enormous nations. Thus, Demacia is the capitol of Demacia and Noxus is the capitol of Noxus. And before anyone says it doesn't make sense, remember that city-states were incredibly common for most of human civilization (Nationhood is relatively recent) and a few city-states still exist, the most notable being Singapore, Monaco, and Vatican City.
Tesla Effect1 votesYup, Demacia and Noxus are city-states rather than enormous nations. Thus, Demacia is the capitol of Demacia and Noxus is the capitol of Noxus. And before anyone says it doesn't make sense, remember that city-states were incredibly common for most of human civilization (Nationhood is relatively recent) and a few city-states still exist, the most notable being Singapore, Monaco, and Vatican City.
"I hope I never see this unforgiving desert again, and yet, I know now I could never return to Noxus. I do not see our nation as strong. We are as arrogant and foolish as children.
I am seeking a position near the Demacian border or in the southern jungles – anywhere that takes me far from the devastation this creature has wrought. Would it be possible for you to live outside of our capital? Sadly, I know your answer. I must accept that long ago you moved on from my failed courtship, while I was trapped in a limbo of my own design.
I have enclosed the stone artifact I acquired and based my maps on. It is a wedding gift. I truly hope you will find happiness with Genden Belgaunt, but I pray you will not end our correspondence.
And in hope and love, I will always wait for your letters at the edge of our empire's domain.
Yours, Aelon"
Trylobyte4 votes[{quoted}](name=Tesla Effect,realm=NA,application-id=6kFXY1kR,discussion-id=PWIEKEfN,comment-id=00050000,timestamp=2015-04-14T14:58:56.390+0000)
"I hope I never see this unforgiving desert again, and yet, I know now I could never return to Noxus. I do not see our nation as strong. We are as arrogant and foolish as children.
I am seeking a position near the Demacian border or in the southern jungles – anywhere that takes me far from the devastation this creature has wrought. Would it be possible for you to live outside of our capital? Sadly, I know your answer. I must accept that long ago you moved on from my failed courtship, while I was trapped in a limbo of my own design.
I have enclosed the stone artifact I acquired and based my maps on. It is a wedding gift. I truly hope you will find happiness with Genden Belgaunt, but I pray you will not end our correspondence.
And in hope and love, I will always wait for your letters at the edge of our empire's domain.
Yours, Aelon"
They can call it whatever they want, but that doesn't necessarily make them correct. If Noxus is an empire it's a pathetically small one - The city-state of Piltover controls about 2/3 the land Noxus does. To be a proper empire they'd need to have large, diverse holdings, and they don't - Every Noxian we know is from the capital itself. The diversity is the key to an empire - City-states can get quite large and powerful (Renaissance Venice, for example, was a world power in its day) but they remain the city and its immediate vicinity, they don't control multiple regions. Which Noxus seems to be. Now they've certainly tried to become an empire proper by going after Ionia, but they failed at that.
Demacia is trickier unless you know these sorts of things. They have holdings (smaller than Noxus but not by much) but they definitely have the 'medieval kingdom' vibe going, with wilder areas and large farms centered around forts with the capitol in the middle. They're also running a proper monarchy, so they can call themselves a Kingdom. Interestingly, this does not preclude them from being a city-state. They still only have one major city surrounded by dependent territories, which is what a city-state is. They're just also a monarchy.
Essentially, they're both city-states regardless of what they call themselves because both of them are sovereign states consisting of one major city and its dependent territories. That's the definition of a city-state, and they both fit it.
Tesla Effect1 votesBoth Noxus and Demacia boarder with Shurima which means that they have a lot more land that they control (Noxus is stretching its influence to eastern parts of Shurima, probably the same with Demacia until Azir gets his empire up and going again). Also Demacia has more than one city in its control and villages. Also Noxus did not fail with Ionia, with the Ionian vs Noxus match retconned due to the League, the entire Invasion is left with no closure and is up to changes, for now.
Trylobyte2 votes[{quoted}](name=Tesla Effect,realm=NA,application-id=6kFXY1kR,discussion-id=PWIEKEfN,comment-id=0005000000000000,timestamp=2015-04-14T17:19:22.119+0000)
Both Noxus and Demacia boarder with Shurima which means that they have a lot of land that they control (Noxus is streaching its influence to eastern parts of Shurima, probably the same with Demacia until Azir gets his empire up and going again). Also Demacia has more than one city in its control and villages. Also they did not fail with Ionia, with the Ionian vs Noxus match retconned due to the League, the entire Invasion is left with no closure, for now.
If you want to pull the retcon button, then we can safely say we know nothing about the status of Demacia or Noxus because almost everything about them is old lore. Do they intend to keep using it? Hard to say. We do know Demacia is a Kingdom from Sion's new lore, at least. Is the map going to stay the same? How big is Valoran, anyway? It's all a mystery now because of the Power of Retcon. Guess we'll have to wait for the new lore, eh?
But if we want to argue the main point, Demacia has more than one town/city, sure, but there's only one major one. Same with Noxus. Go ahead and look at the map, notice how 'Demacia' and 'Noxus' are both the only cities marked on the map in their entire respective regions, and how almost every major champion of that entire faction (and in fact every one in the case of Noxus) is from the same city. That's a city-state right there - Might be other towns and villages, sure, but it's just the one city as hub of everything and the other towns/villages rely heavily on the city for protection, trade, etc.
Tesla Effect1 votesThe only map of Valoran that we have is old and part of the old pre-retcon world, using that as your evidence wont go. Freljord was a dot before as well, yet now we have an entire region (nation) named Freljord with many towns, villages and Captial city.
Also lets be logical here for a second, for the old lores many ups, it had major downs. Why would a nation with no boardering countries not expand for resources and land, I never understood that. Why would they just be city states if they have all that land to claim for themselves. The new approach for full blown countries is much more believable.
How big is Valoran, we dont know but its fairly big. Now this is just skin art so it may not count to anything but Fiora showcases a globe with what possibly can be many continents. Maybe all the nations get their own territory or chunch of the new Runeterra which would explain why they are countries or to expand it, Empires....or the skin art means nothing and is not the Valoran we are looking for. Food for thought. http://img4.wikia.nocookie.net/__cb20121023025852/leagueoflegends/images/c/c6/Fiora_HeadmistressSkin.jpg
Trylobyte2 votes[{quoted}](name=Tesla Effect,realm=NA,application-id=6kFXY1kR,discussion-id=PWIEKEfN,comment-id=000500000000000000000000,timestamp=2015-04-14T17:35:46.620+0000)
The only map of Valoran that we have is old and part of the old pre-retcon world, using that as your evidence wont go. Freljord was a dot before as well, yet now we have an entire region (nation) named Freljord with many towns, villages and Captial city.
Also lets be logical here for a second, for the old lores many ups, it had major downs. Why would a nation with no boardering countries not expand for resources and land, I never understood that. Why would they just be city states if they have all that land to claim for themselves. The new approach for full blown countries is much more believable.
...but we don't have enough new lore to know anything, as I pointed out previously. If you go by the new lore, all we know is that Demacia is a kingdom and Noxus exists.
And if we look at the old map, they both had reasons not to expand - Noxus is surrounded by mountains except for a marsh to the west and Zaun (their ally) to the north. Demacia has that same marsh to their east (so Demacia and Noxus are probably fighting over it if either of them even wants it), swamps to the north, and an enormous mountain range even called The Great Barrier to the south. Demacia has no options for expansion at all (Swamps are very difficult to colonize or hold) and Noxus's only options are naval (which they tried and failed at with Ionia).
Also, the globe is interesting, but there is a distinction there. Valoran is the name of the major continent and Runeterra is the name of the world as a whole, so if wer'e dealing with Valoran we know we're still dealing with one landmass. More continents would be interesting, though.
I think that, ultimately, the whole argument comes down to 'How big is Valoran?' The larger it is, the more likely we have empires and nations rather than city-states.
Tesla Effect1 votesWhat am going with the new lore is that Noxus is an Empire and Demacia is a Kingdom, both are larger nations spaning large territories and boarder with Shurima from west and east of its sides.
They could easily sail around the troublesome areas and mountains, they have naval ports. They are no opposition in the southern lands, as oppose with Ionia. I wouldnt be surprise if Piltover and Zaun end up being free cities inside those two nations, they share many things with their respected countires.
I really think Runeterra is gonna get bigger, the whole thing feels like its going that rout. I cant wait for the day they release a fully updated world map so that I will see how much the world has changed (that will probably be one the last lore updates for the post-retcon thing they will do).
junglerboy162 votesBecause of the Retcon, Noxus never invaded Ionia to begin with. They only invaded them because they finally made peace with Demacia through the League and IoW and needed a new path to expansion. Because of the retcon, Damacia and Noxus are technically still at war, Noxus never invaded Ionia to begin with, and Shurima is its own thing entirely.
Tesla Effect3 votesThe cities we all referred previously to as Demacia and Noxus in the old lore are the Capital cities of The Kingdom of Demacia and The Empire of Noxus.
I get a 
gold ascension pendant for my work, thank you.
darkdill6 votesPretty sure that's easily misinterpreted, but just for peace of mind, let's hear the official word, shall we?
Tesla Effect1 votesPretty sure that's easily misinterpreted, but just for peace of mind, let's hear the official word, shall we?
Well if you want them to answer you, be nice. Just because the are being alofs mutes about it all doesnt mean you should start being an alof, you are better than that.
The Red Warden2 votesWell they are city-states so the capitals will probably share the same name as the country. Sparta and Athens were also city-states with their territories being known as Spartan or Athenian.
Tesla Effect1 votes[{quoted}](name=The Red Warden,realm=NA,application-id=6kFXY1kR,discussion-id=PWIEKEfN,comment-id=0004,timestamp=2015-04-13T06:06:58.298+0000)
Well they are city-states so the capitals will probably share the same name as the country. Sparta and Athens were also city-states with their territories being known as Spartan or Athenian.
Except most nations arent city states anymore.
Baron Von Bangin1 votesBut they are in the League-verse soooo...
Tesla Effect1 votes[{quoted}](name=Baron Von Bangin,realm=NA,application-id=6kFXY1kR,discussion-id=PWIEKEfN,comment-id=000400000000,timestamp=2015-04-13T18:59:00.614+0000)
But they are in the League-verse soooo...
"There is no League in Bah Sing Se ." -
Pythonlord1 votesDemacia nad Noxus... IZ.
Where is my price 
kappa
Tesla Effect1 votesGeese, I say it first but I get downvoted. Sharjo says it and gets upvotes, seems like I have haters now.
Ebonmaw Dragon3 votes[{quoted}](name=Tesla Effect,realm=NA,application-id=6kFXY1kR,discussion-id=PWIEKEfN,comment-id=0003,timestamp=2015-04-12T15:47:49.360+0000)
Geese, I say it first but I get downvoted. Sharjo says it and gets upvotes, seems like I have haters now.
Well, im not the one who downvoted you but.... there is a big difference. Sharjo explained the post.
Or maybe they upvoted him because "We need a Noxian from the sticks"
Tesla Effect1 votes[{quoted}](name=Ebonmaw Dragon,realm=NA,application-id=6kFXY1kR,discussion-id=PWIEKEfN,comment-id=00030000,timestamp=2015-04-12T16:30:53.882+0000)
Well, im not the one who downvoted you but.... there is a big difference. Sharjo explained the post.
Or maybe they upvoted him because "We need a Noxian from the sticks"
Rakelstake is the only Capital City currently in Runeterra that has specific name to it (you can argue that The Placidium is also a Capital City) . Not counting Piltover, Zaun or Bandle City since they are just City-states.
junglerboy161 votesThey started as simply the city states Demacia and Noxus, but have each since then grown to full blown empires.
It works in the same way that Ancient Babylon used to be a city state, and then turned into an empire. The empire was still called Babylon, just like the original city state.
