I know Switzerland is small but still to big to put us all in a room, also who decides who the "random sample" is? People from Cities, Land? French speaking or German? Voting is the the only provable and fair decision making, however the pre-vote-training of the voters (aka marketing, media and money) is the big problem for me.
> the pre-vote-training of the voters (aka marketing, media and money) is the big problem for me.
It's not merely that. These are very complicated matters that take time and energy to understand, and voters don't have the necessary time and resources to dedicate. Voters are also asked to vote for people they cannot directly talk to. Everything has to be done through intermediaries and middlemen, because direct communication doesn't scale. That's why picking a smaller sample is interesting: if you pick a hundred people at random, you can pay them to simply think and talk to each other, and you can reduce (although not completely eliminate) the influence of marketing, media and money.
Have you ever had a gummy bear package with nearly just green bears in it?