Talk:Stable winner set: Difference between revisions
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Dr. Edmonds (talk | contribs) (Created page with " ==Limitations== The example I added illustrates how there can be examples where the committee is in the core but it does not "seem fair". User:Kristomun added the further specification that it is not proportional. Being in the core is the strictest form of proportionality and implies more standard ones like Justified representation. I think it would be a mistake to say that the committee is not proportional. None of the underserved groups are a quota in size. C...") |
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The example I added illustrates how there can be examples where the committee is in the core but it does not "seem fair". [[User:Kristomun]] added the further specification that it is not proportional. Being in the core is the strictest form of proportionality and implies more standard ones like [[Justified representation]]. I think it would be a mistake to say that the committee is not proportional. None of the underserved groups are a quota in size. Can we remove this claim? --[[User:Dr. Edmonds|Dr. Edmonds]] ([[User talk:Dr. Edmonds|talk]]) 16:07, 15 June 2022 (UTC)
:Sure; I was thinking of disproportionality in a setwise sense. In the example, as k->infty, the faction who gets every candidate contains almost none of the voters. If we consider there to be two factions: the c1...ck faction and the "anyone but these" faction, then the distribution of power is anything but proportional in these factions: the second faction's share can grow as large as you wish without getting any representation. No proportionality violation exists in the sense of a quota violation, but divisor methods would select some non-c_1..c_k candidates in this scenario, e.g.
::k = 3, L = 10,
::10: A1 = A2 = A3
::9: B1
::9: B2
::1: C1
::1: C2
:Then Sainte-Laguë would elect one from A1, one from B1, and one from B2.
:The problem is analogous that the Droop proportionality criterion just says (if there were 10+epsilon voters): "the A group must get at least one candidate elected" without specifying anything about the representation of the other groups in aggregate.
: But I'll just remove the term and rephrase. [[User:Kristomun|Kristomun]] ([[User talk:Kristomun|talk]]) 17:40, 15 June 2022 (UTC)
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