Cities and Governance

1 and 3 have the best chance of working, 4 the worst.

Call me crazy, I think city planning has lead to more problems than solutions. The fewer planners, and the fewer rules, the better.

I've often considered how a truly private city might work. I suppose if I were the "owner" of a city, I would run it more or less like an extended shopping mall. I'd lease out land or building space (probably on long-term covenants), and bid out common functions like water, waste, power, security, and network. Decisions about long-term efforts like large structures would be vetted by the owner or more likely a board of directors. I think if stocks were issued and shareholders voted in directors, the end result would not be much different from a democratic city. There would be favoritism in contracting, protection from competition, and rent-seeking. The direction of the city would very much depend on the ideology of those in charge and prevailing opinion among shareholders.

I'd prefer some clever (central) institutional framework à la tandfonline.com/doi/abs/10.1080/1362102032000065946 and chartercities.org/resources then let it go edge.org/conversation/geoffrey-west

1 and 3 are definitely on the right track but perhaps not for the reasons imagined. New cities need 'dictators' in the sense that this individual would set up the 'game' plan, which they would need to explain to anyone who might desire to take part. For instance, would education and work be part and parcel of each other? Neighborhoods would then utilize variations of the plan in terms of how people want to style their own environment. Some neighborhoods might want to share a small nature commons for instance, say a wildflower prairie instead of mowed lawns. Each city could represent different visions and compete on those characteristics.

a city that is started from scratch can, in theory, benefit from intelligent design.

Seriously, though, I'm less concerned with the process used to determine the rules and more concerned with what type of rules come out. Specifically, I agree with the axiom given in Starship Troopers that any system will "work" as long as authority and responsibility go together, and good performance receives positive feedback while poor performance receives negative feedback. ("Work" simply means "produce the desired results.")

Of course, the simplest such system of rules is private property and a free market, with some minor clarifications for issues such as externalities and takings -- essentially the system described by Richard Epstein in Simple Rules for a Complex World, or David Friedman in The Machinery of Freedom.

The cities with famous plans (New York, Philadelphia, Washington DC, Paris) are mostly infill that the original master plan never considered. They are an amalgam of top-down and bottom-up (private) planning. The latter was probably dominant.

A mix of 3 and 4. 3 makes it easier to exit, which sends a pretty good "market" signal to the authorities, and incents good government on their part. 4 makes government less of a basket of goods, and allows people to more easily retain leadership of the good parts and replace the leadership of the bad.

There are two variants on (3). You can have an overall owner who delegates various neighborhood to local directors. Or you can have an initial owner who sells out the various neighborhood to autonomous owners (maybe with a few basic rules attached).

@Peter Gordon - you missed Chicago. After burning down in 1871 the whole city was planned and has stuck to it for the most part....

That being said -
Dictatorial control means that your first decision is the only important decision.
Representative Government is an exercise is rent seeking.
Burroughs may be the best choice, but at that point why call it a city of several million and not 20 cities of a couple hundred thousand?

There can be no context-free answer to this question.
A lot depends upon the character and the virtues of the intended population.
I.e. a city of Germans could be 3.
A city of Indians could be 1 or 4.
A city of Americans could be 2.

See Brasília as an example of a government planned city done badly.

Columbia, MD was a privately planned city that turned out OK for the kind of people who wanted to live in the suburbs.

5) direct democracy, limited to persons who pass certain criteria of capability.

If you exclude that idea, I vote for 4. Frankly I think the whole US should be reformed around 4.

I would not create a government entity at all. I would create a company to build and own the infrastructure, and have it build the city and sell the parcels, with sufficient deed restrictions on each lot to protect the values of the neighboring properties. This has already been done, I believe, in Irvine, CA.