[EM] A question about proportionality and... something else.

[Kristofer Munsterhjelm]

I'm having to deal with some serious personal matters, so I have to take 
a break from the EM list again. I don't know for how long.

But before or as I do that, here are two question about proportionality: 
I've been trying to pin down proportionality, as in what's desirable 
about PR that's not fulfilled by an assembly full of extremists 
(candidates near the tails) nor by one full of centrists.

Do you think that the notion of proportionality depends on how the 
assembly makes its own decisions?

E.g. suppose that an assembly was elected that used Heitzig's consensus 
method, or some imagined strategy-proof method where pretty much 
everybody, not just a majority, would be incentivized to agree to pass 
something, but that wouldn't be vulnerable to delaying tactics. Would 
the notion of a "proportional" distribution of candidates change? That 
is: does proportionality depend on assembly procedure?

Second: Suppose an assembly was altered in this way, and suppose that PR 
is considered beneficial (compared to the all-centrist/all-extreme 
alternatives) for assemblies using a majority rule procedure. Would the 
"best" election method for that assembly change as a consequence of its 
procedure being different? If so, how?

-km