Some of your questions are trivial. — Linkey

Please list in order of triviality.

Concerning the necessity to gather information before voting, I have an idea of using a lot: a group of 200 random people would be chosen, the state will give them the money for studiing the subject, and possbly they will vote instead of the whole population. — Linkey

Government by focus group... How is that an improvement over the current system, wherein every adult has at least a theoretical opportunity to participate? You want to take away from citizens even that illusion of control?
Of course, that doesn't address the implementation problems.

these 200 people will perform a vote, also they can vote for spending some state money for creating a video illustrating their argues and decisions; — Linkey

So decisions on major public issues now hinge on a video of people - 200 people! - arguing? I'm trying to imagine the sound level and clarity.
This idea just keeps getting less plausible.

So decisions on major public issues now hinge on a video of people - 200 people! - arguing? I'm trying to imagine the sound level and clarity. — Vera Mont

As far as I know, in ancient Greece the "lottocracy" was trusted more than democracy, because in usual democracy, usually not best but the worst people come to power. You can clearly see this in the US now. This phenomenon is explained by the fact, that in usual democracy, for comong into power a man must become a part of some elite which already has the power. With the "lottocracy", average people come to power and the average is better than the bad.

As far as I know, in ancient Greece the "lottocracy" was trusted more than democracy, because in usual democracy, usually not best but the worst people come to power. — Linkey

Do you know what sortition means? Public offices were drawn by lot - not a bunch of people to argue about an issue on film. Very different concepts.

I'm in favour of selecting governing bodies the same way that we select juries. But you don't actually seem to be clear on your proposed system. At all. I recommend more time at the drawing board.

What I like about it is that my vote really matters and no one cares about yours. — Hanover

Yes, this is true. My daughter lives in Michigan, another state where votes matter. I had just moved here when "Don't blame me, I'm from Massachusetts" became a popular bumper sticker.

As far as I know, in ancient Greece the "lottocracy" was trusted more than democracy, — Linkey

The population of ancient Athens was about 250,000 people with only about 30,000 able to vote. That's comparable to a large town or small city. In the US, about 250,000 million people are eligible to vote.

The population of ancient Athens was about 250,000 people with only about 30,000 able to vote. That's comparable to a large town or small city. In the US, about 250,000 million people are eligible to vote. — T Clark

Are you sure with these numbers? Why onle 30 000? I thought the right to vote had all free men (not slaves), and this must be approximately 60% of men or 30% of all population.

Are you sure with these numbers? — Linkey

https://en.wikipedia.org/wiki/Classical_Athens

Not sure this has been mentioned but a referendum is usually a binary choice, greatly influenced by the question asked. In almost all cases it reduces complex problems to idiotic simplicity. If the Brexit referendum would've been worded as follows: would you like more inflation, and more hassle to travel to Europe, yes or no? The result would've been different.