Most, if not all societies do not implement direct democracy, where decisions are truly made by one person one vote.
Most at least employ an abstraction such as representative democracy, and the United States employs an abstraction upon an abstraction with the electoral college.
The problem with proxies for politics is twofold. First, there is the business of carving out subjects. If I hand John the power to vote on transport and Jill the power to vote on buses, who votes on the integrated schedule for subway-bus terminals? What happens if they both vote? How do I maintain anonymity under these conditions without getting double counted, possibly even cancelling myself out through my proxies? This problem doesn't arise in regular proxies because I can see how my proxy voted and anyone can see who was acting as my proxy. That's not compatible with ballot secrecy.
The second problem is the usual problems of direct democracy, chief among which are demagoguery and mobs. Representative democracy is sluggish compared to direct democracy. That is a feature, not a bug. Imagine if twitter mobs could amend legislation.
But it does not talk about cases where you could opt-in to vote on every decision, and if you did not your representative would vote for you. Basically, you would chose a representative like you do in most countries, which would have the n votes of the people that elected him by default, but at any time you could say this vote is for me, your representative would have minus one vote and you could vote anyway you feel like.
This seens a bit more manageable than what jadbox describes in that you do not have to track potentially million of representatives. The biggest issue would be on how you could vote, because the window has to be relatively short for things to happen, but long enough to allow everyone that wants to to vote.
https://medium.com/organizer-sandbox/liquid-democracy-true-d...