So how would the executive be elected?
Good question! So far I have three answers:
1. In more presidential - oriented places the president would be solely responsible for nominating ministers; of course, president would be elected by popular vote in this scenario. He would be effectively *the* executive branch.
2. If the relation between executive and legislative is L has_many E (so, no crossing of cabinet boundaries for ministers), they could be elected by cabinets, which would lead to some problems (similar to what we have today).
3. They could be elected by the general population one-by-one (which is very problematic, given that we are moving in the regions of 50 separate votes to be cast by every voter).
This really depends on what we think about executives: if their power is limited, the 1. might be the best response, as it would limit the presidential power while still giving him some leeway. I actually believe that option 3. would be the best, but it is rather utopic, as I said, given the sheer amount of voting people would be presented with.
There is also option 4, now that I think of it:
4. A group of at least 20 (or 15, or 40, or some similar number) people can nominate their representative to vote for executives in their name. This person carries with his vote the weight of all the people who vested their power in him, but no more than 100 (to avoid strange shenanigans), but only for the duration of this one vote. This allows less active voters to still cast their vote, and due to low threshold like-minded people can agree beforehand to a list and just send one of them to vote in their behalf. It could be especially effective if a voter knows somebody who has similar political considerations, but doesn't want to personally sift through all available candidates to choose the best ones, and leaves that in hands of somebody more active, but trusted.