As for the idea of 'representative democracies'. They don't work any longer. We had it naturally in our hunter gatherer groups, but that was another game, and a game in where you had close social contacts with your group. They knew each other.
In a small group, everyone can have an equal or even a weighted vote (worth reading chapter 1 of Neville Shute's "In The Wet" where he describes the seven-vote system) but you won't make much progress if you ask 40,000,000 UK voters how income tax should be structured.
Old Jewish saying: "if you want three opinions, ask two Jews", and I'm pretty sure the rest of the electorate can find reasons for nonconsensus on anything.
Which is exactly why I propose the trade union system, where every representative is positively mandated by 19 people he knows and must satisfy - or at least explain why their point of view can't prevail. It means that good ideas from the grass roots can develop and gain momentum, whilst meaningless promises, party manifestoes and catchphrases have no effect.
I had an interesting experience as a union rep in the civil service. At the end of a fairly routine workshop meeting (30 folk), a woman asked "can we have soft toilet paper?" Much laughter, but someone said "seconded", so I had to put it to the vote. Unanimous, so I had to take it to the branch level (10 of us representing about 5000 people) where it was approved and I was mandated to take it to national level, where the representatives of 150,000 scientific and technical staff agreed, with an exception for small ships (the soft stuff is useless on a fisheries research vessel in a Force 8 ). So it became policy. Question then arose - what if management disagreed? According to the rules, I would then have to present it to the national Trades Union Congress (representing around 5,000,000 workers at the time) and if they agreed (why not?) it would become Labour Party policy and hence eventually law.
Management response was conciliatory, sort of. We were told that the hard stuff would be replaced wherever practicable with soft stuff as stocks ran down. Two years later, no apparent change, so I asked how much hard stuff was in stock. Apparently Her Majesty's Government maintained a hangar full of toilet paper on an air force base, so it could be supplied within 24 hours to the military or embassies anywhere in the world. But that was a long time ago, and if you visit any UK government establishment today, you can bless Hilary and Andy (physics) for proposing the motion, and Steve (marine engineering) for the amendment.