Rather than send you somewhere else, I can give you an explanation of the two game types (DemoGame and Succession Game) right here.
Democracy Game ~ Simply put, a Demogame is a game where a group of people discuss and poll the actions of the game. In this possible Intersite DemoGame, Civfanatics would be one nation and our friends in Germany would be a different nation in the same world. We would choose who we wanted for our president (and play the turns) by running an election poll. Germany would do the same for their nation. In fact, more polls are usually held for government offices like the Military Advisor, the Domestic Advisor, etc. So that eventually, all the Advisor positions in a real C3C game would be reflected in the Demogame. Each Advisor would make suggestions (or give Instructions) to the President before he manually played the turns on his computer. These suggestions/Instructions would be put together from demands and requests made by all the other "citizens" of the nation. An Advisor may even use polls to gather info from the citizens. Advisor/President election polls are usually held every month of the game, which can last 5 to 7 months when played in house. An Intersite Demogame woud take much longer unless it was a very small map.
When the President (sometimes called the Designated Player - DP) plays the turns, detailed notes and screenshots would be taken to help explain to the citizens the flow of the game in almost real time. So the citizens can't actually play the game, but can follow it closely with these blow-by-blow details and screenshots. Normally 5 - 10 turns are played in a turn session and then discussion ensues about the state of the nation and the direction the populace would like to see it go in. A turn session may stop abruptly if another nation declares war or some other event (like someone makes us an offer we can refuse) occurs that needs discussion by the citizens/Advisors.
All these rules (and more) are usually put into a Constitution, where anyone can read them and learn how to play the game properly. In many Demogames we've even had a Justice Department (a Supreme Court, if you will) to help the nation determine how to proceed in making decisions for the future or if someone has broken the Law.
That's about it for the DG.
Succession Game ~ Simply put, an SG can be compared to a PBEM, only several people all play the same nation at around 10 turns a clip. On going discussions would take place about the details of the game and the group of people that make up the team and play 10 turns before passing the game onto the next in line would/or can use these discussions to determine their move decisions. So overall, the progression of the game reflects the playing abilities and strategies of everyone who plays, in one way or the other.
As mentioned above, less overhead than a Demogame, although there is less control by the populace and in my opinion, less fun, as there are no elections or government offices. But on the other hand, this may be the way to go as an organization.
Hope that helped.