> Star Trek, particularly the television shows, very clearly describes a command economy with elected leadership.

The idea that Star Trek "very clearly" describes anything about the economy of the Federation (or even that what it does show of that economy is remotely consistent) is somewhat amusing. Most of the civilian economy it shows clearly is outside of the Federation (and mostly varieties of regulated market economies), and most of what it shows of the Federation is focussed on a quasi-military service, not the civilian economy.

I'd say the strongest indication is that the Federation civilian economy is largely a gift and informal, non-money-mediated barter/market economy where there scarce items are personal services more than material goods.