My nation will primarily be inspired by Oolong Island of the DCU. That's right, a country of mad scientists. It will be orderly, however, and strictly regimented. All scientific endeavors, even minor ones, will be submitted to me, and must be explicitly approved. If a proposal is rejected, its submitter will be carefully monitored to make sure they do not attempt to begin the project anyway. I will expect 100% urbanization, including hydroponic factories producing genetically-enhanced food. As soon as technologically possible, these factories will grow meat as well. Economically, it will run on a system of merit/credit, with no currency. My citizens' respective accomplishments will be weighed regularly, and from this they will be given various degrees of purchasing power. As this makes trade between my citizens and foreign markets impossible, I will personally manage all imports and exports. Military technology will not be utilized by my country, but will still be developed for selling on the international market, the proceeds from which will be used to negotiate the aforementioned trade agreements.
As for myself, I shall ensure my longevity and effectively become immortal by first connecting my brain directly to an extremely powerful computer at the exact geographic center of the island (purely for egotistical reasons), and later in life have the entire contents of my mind installed within it so that I may continue to rule my society long after the death of my physical body. I will of course keep back-ups of myself on numerous external drives, kept under tight security.
Eventually, when the rest of the world has fallen into ruin at the hands of its own people, I will have the entire land underneath my nation removed, so that it may be completely retrofitted into a spaceborne habitat that will leave this world behind, ensuring the future of the best and brightest of humanity, leaving the rest of the Earth's inhabitants behind to rot alongside their dying planet. I'm still thinking of a name.