Currently? I'd start by winging it for a bit until we got a few people together then do something a long the lines of the following.
Startup condition: Get the members of the community to nominate someone else to have a unit of power* (UOP) in the new system.
General running: These people would bid UOPs for various posts in government (see this post ).
Some of these posts would be posts that got feedback from the populace. The populace would leave feedback based on how well the government was doing. Say a 0 if the system was doing poorly or 1 for it doing well. This number would be averaged and then given as UOPs to those people. They would then give units of power to the people that helped him run the moon base (and so would they, recursively), if they don't they won't get helped next time and the expected number of UOPs would reduce.
Then after a period of time the people would have to bid for the posts again. If people didn't do very well running the country, they would lose UOPs and those that did well should be able to outbid them for control.
Or something like this that I can show would maximise the populaces utility function as discussed in linked post.
*A unit of power is just a currency specifically tied to the control of the system
It sounds like the sum of UOPs is constantly inflating, possibly by a large (but perhaps nearly constant?) amount. This might or might not be a problem, but it seems to me to at least be a barrier. I don't know enough about economic modeling, especially for this particular case, to decide whether spending UOPs on bids negates this or not. It seems like it would, but I can't justify that.
Also, selfish agents won't willingly pay their underlings much relative to how much they earn. I imagine that the UOP distribution will be similar to the income distributio...
You are now in control of a habitat on the moon. It has no ties to any government; its creation was funded by a wealthy philanthropist who just wants people to emigrate from Earth. The cost of doing so is within the reach of a middle-class family if they sell their home; you can therefore expect a decent number of immigrants.
What sort of government do you establish? How do you go about ruling so that your new settlement on the moon will survive and thrive?