I’m skeptical of this, in that there are voting systems like this (10 seats open, you get ten votes to distribute however you want, etc.) and while they are limited by integer choices, they don’t come close to satisfying the desiderata.
One thing that comes to mind is that it would be quite gameable; putting all your vote in one candidate will often be a better decision than comes to mind, but this is off the top of my head and it does seem within the realm of possibility that it could be “Arrow’s no integral points on ideal voting systems theorem.” Which is a great name for a theorem.
I’m skeptical of this, in that there are voting systems like this (10 seats open, you get ten votes to distribute however you want, etc.) and while they are limited by integer choices, they don’t come close to satisfying the desiderata.
One thing that comes to mind is that it would be quite gameable; putting all your vote in one candidate will often be a better decision than comes to mind, but this is off the top of my head and it does seem within the realm of possibility that it could be “Arrow’s no integral points on ideal voting systems theorem.” Which is a great name for a theorem.