This is a slight variation of something called The Island Experiment, in that all 3 islands are identical in terms of size, environment, and raw resources that are available on it, and each of the 3 basic types of political ideologies (anarchism, socialism, and libertarianism) are assigned to each island.
The idea is to get an equal number of volunteers (they would all receive compensation for participating in this experiment) who subscribe to the political ideology assigned to each island onto each island; the anarchism island would only have volunteers who subscribe to anarchism, the socialism island would only have volunteers who subscribe to socialism, and the libertarian island would only have volunteers who subscribe to libertarianism.
By subscribe, I mean that they both advocate for and wish to practices their respective ideologies.
By anarchism, I'm referring to the philosophy that the individual gets priority over the collective.
By socialism, I'm referring to the philosophy that the collective gets priority over the individual.
By libertarianism, I'm referring to the philosophy that neither the collective nor the individual gets priority over the other (i.e., there has to be equilibrium between the two).
The experiment I would like to do is for much greater than Dunbar's number (which is around 150) of people on each island, so let's say 1,000 people per island. Let's also make this a 5-year experiment.
After 5 years, which one in your opinion would be in the best shape overall, and which one in your opinion would be in the worst shape overall?
Not only would there have to be an equal number of individuals on each island (1,000 per island), but they would also have to be equal in collective background, experience, profession, intelligence.
For example, if there's a cardiologist with 25 years of experience for one island, there have to be cardiologists with 25 years of experience on the other 2 islands; if there's a 30-year old math wiz on one island, then there have to be 30-year old math wizzes on the other 2 island; if there are 50 experienced carpenters on one island, there have to be 50 experienced carpenters on the other 2 islands; if there are no retired commercial airline pilots on one island, then there cannot be any retired commercial airline pilots on the other islands; if 10 individuals are 6'5" tall on one island, there have to be 10 individuals who are 6'5" on the other 2 islands.
The point is that the experiments have to be identical in population content; if this experiment were to actually be conducted, then some slack and tolerance for slight variations would have to be allowed, such as substitution with a retired pleasure cruise captains in lieu of a lack of availability of retired commercial airline pilots, etc.
For practical reasons, initial supplies of certain kinds of basic materials, such as concrete, bricks, nails, wiring, electric motors, batteries, windmills, solar panels, pots, pans, light bulbs, hammers, saws, tape measures, wire cutters, wire strippers, pens/pencils, paper, etc. that would be suitable for eliminating the need to have to develop technology from scratch in order to catch up to where we're at within a century, would be provided to each island in equal portions.
Same with food and drinks; an initial supply of food and drinks (water, juice, milk, etc.) would have to be provided in equal portions to each island. An equal amount of cattle and seeds could also be provided to each island.
I think, for the sake of having reliable results, availability of news and means of communication with the outside world would not be permitted, but within each island, they may have communication systems that work only within the islands. The reason for not allowing communication or information from the outside world would be to prevent skewing of the progress of each island, resulting in it being a closed-loop feedback system competition against each other (meaning how hard they work won't increase or decrease based on how they compare to the other 2 respective islands, or get incentivized or demoralized by false progress reports, etc.).
The criteria for being best or worst would be determined based on the overall quality of life, standard of living, comfort, health, happiness, how well volunteers got along, and how economically efficient each island is at the end of the experiment.