Daryen said,
Anyway, the biggest question before you can get an answer is what is the population? With a "lo-pop" world, it could be quite possible to have a smoothly running world with no government. It becomes much more difficult if it is "hi-pop". Also, what is the population density? A few million won't work any worse than a few thousand, as long as everyone is spread out.
Here is an example taken from Literature:
Solaria A967400-H
The world called Solaria has a Class 'A' starport, a size of 9 (9500 miles), an Atmosphere of 6 (Standard), Hydrographics of 7 (70% surface water), A Population of 4(20,000 people), A government type of 0 (No Government), a Law Level of 0 (No prohibitions, and a Technological Level of 17.
This planet was taken from Isaac Asimov's Novel "The Naked Sun" the reason why there is no government has to do with its tech level. At tech level 17 Artificial Intelligence robots become possible and the population of such robots on Solaria is 200,000,000 or about 10,000 for every Solarian citizen each Solarian citizen has a huge estate consisting of thousands of square miles and is served by a staff of thousands of Robots. Each robot obeys the three laws of robotics as follows:
1) No Robot may harm or through in action allow a human to be harmed.
2) A Robot must obey orders given by a human.
3) A Robot must preserve its own existance.
Most humans avoid direct contact with each other, instead they communicate vitrually using holovideo technology called viewing as opposed to seeing when someone actually visits. A world like this could exist in the OTU. The people on this planet avoid human contact and are very private so I think they would keep to themselves. They manufacture their own robots with the robots building factories and running them to produce more robots. Their power systems are based in antimatter, (This is not in the book but I'm adapting this planet to the OTU). If they Solarians receive a visitor from the Imperium for example, they would have robots build a guest house for them and then tear it down once they leave. The planet is terraformed and its main export, should it care to export anything is AI robots, these robots are very expensive to outsides as their are very few TL 17 planets around so they enjoy a relative monopoly on this technology, but they really don't need to trade anything as the robots on the planet produce everything they need or want. Their population is in decline, humans don't often get together for mating purposes and the raising of children is considered unpleasant as it requires human contact. As the population is in decline outsiders are welcome whenever they care to visit. Solaria tries to keep its population at around 20,000 so estates are available whenever an owner dies. Each estate comew with about 10,000 AI robots. I think the Imperium might want to draw a red circle around this planet however.