<html><body><div style="color:#000; background-color:#fff; font-family:HelveticaNeue, Helvetica Neue, Helvetica, Arial, Lucida Grande, Sans-Serif;font-size:13px"><div>From: Kristofer Munsterhjelm <km_elmet@t-online.de><br></div><div><br></div><div>>So with that in mind, let me alter the example.</div><div>>You have a set of ballots that rank (or rate, or approve, etc) n <br>>candidates. First, consider the candidates to be parties and run a party <br>>list election with, say, 500 seats. k parties will be elected. Then run <br>>a k-seat multiwinner election using the same ballots, but let the <br>>candidates be individuals.</div><div style="color: rgb(0, 0, 0); font-family: HelveticaNeue, Helvetica Neue, Helvetica, Arial, Lucida Grande, Sans-Serif; font-size: 13px; font-style: normal; background-color: transparent;"><br></div><div>>Would there then be any situation where the set of parties that got at <br>>least one seat in
the assembly would ideally differ from the set of <br>>candidates that got elected in the k-seat multiwinner election? If so, <br>>when and why?</div><div style="color: rgb(0, 0, 0); font-family: HelveticaNeue, Helvetica Neue, Helvetica, Arial, Lucida Grande, Sans-Serif; font-size: 13px; font-style: normal; background-color: transparent;"><br></div><div style="color: rgb(0, 0, 0); font-family: HelveticaNeue, Helvetica Neue, Helvetica, Arial, Lucida Grande, Sans-Serif; font-size: 13px; font-style: normal; background-color: transparent;">In the case with 500 seats, there will be far less rounding effects, and parties will be able to win seats very accurately according to their proportion of the support.</div><div style="color: rgb(0, 0, 0); font-family: HelveticaNeue, Helvetica Neue, Helvetica, Arial, Lucida Grande, Sans-Serif; font-size: 13px; font-style: normal; background-color: transparent;"><br></div><div style="color: rgb(0, 0, 0);
font-family: HelveticaNeue, Helvetica Neue, Helvetica, Arial, Lucida Grande, Sans-Serif; font-size: 13px; font-style: normal; background-color: transparent;">But when you just have k seats (say, 10), the top ten won't all have exactly 10% of the support. Someone might have 50%, someone might have 2%. In this case, depending on the voting system used, the second choices of the voters of the most popular candidates will become more significant. There might be a candidate who has no first choices but is the second choice for all of the 50% who support the most popular candidate. So in this case, they are very likely to be elected. But in the 500-seat example, they might not be, particularly if we are using a ranked system.</div><div style="color: rgb(0, 0, 0); font-family: HelveticaNeue, Helvetica Neue, Helvetica, Arial, Lucida Grande, Sans-Serif; font-size: 13px; font-style: normal; background-color: transparent;"><br></div><div style="color:
rgb(0, 0, 0); font-family: HelveticaNeue, Helvetica Neue, Helvetica, Arial, Lucida Grande, Sans-Serif; font-size: 13px; font-style: normal; background-color: transparent;">So yes, I'd say there will be cases where they would give different results. If I understand correctly, in the k-seat example, it's effectively a party election but with each party only fielding one candidate. Since there is likely to be a lot of "over-support", which won't exist in the 500-seat example, there would and should be different results in some scenarios.<br></div></div></body></html>