<html><body><div style="color:#000; background-color:#fff; font-family:HelveticaNeue, Helvetica Neue, Helvetica, Arial, Lucida Grande, Sans-Serif;font-size:13px"><div><span></span></div><div id="yui_3_16_0_1_1420492321968_8981" dir="ltr">Webster's mathematically equivalent to Sainte-Laguë isn't it? I don't see why there should be a limit. Let's say you have 100 representatives, and one state has 1% of the population and therefore you'd expect the state to have one representative. This state could win all the representatives, however. To win the 100th representative, it's population would have to be over 199 times as great as any other state. This could happen if there were enough states (about 20,000). And there's no limit to how far you can take this either in terms of lowering the percentage of the population in the largest state, or increasing the number of representatives.</div><div id="yui_3_16_0_1_1420492321968_8980"><br> </div><blockquote id="yui_3_16_0_1_1420492321968_8977" style="padding-left: 5px; margin-top: 5px; margin-left: 5px; border-left-color: rgb(16, 16, 255); border-left-width: 2px; border-left-style: solid;"> <div id="yui_3_16_0_1_1420492321968_8976" style="font-family: HelveticaNeue, Helvetica Neue, Helvetica, Arial, Lucida Grande, Sans-Serif; font-size: 13px;"> <div id="yui_3_16_0_1_1420492321968_8975" style="font-family: HelveticaNeue, Helvetica Neue, Helvetica, Arial, Lucida Grande, Sans-Serif; font-size: 16px;"> <div id="yui_3_16_0_1_1420492321968_8974" dir="ltr"> <hr size="1" id="yui_3_16_0_1_1420492321968_8973"> <font id="yui_3_16_0_1_1420492321968_8978" face="Arial" size="2"> <b><span style="font-weight: bold;">From:</span></b> Kristofer Munsterhjelm <km_elmet@t-online.de><br> <b id="yui_3_16_0_1_1420492321968_9019"><span id="yui_3_16_0_1_1420492321968_9018" style="font-weight: bold;">To:</span></b> EM <election-methods@lists.electorama.com> <br> <b><span style="font-weight: bold;">Sent:</span></b> Monday, 5 January 2015, 22:57<br> <b><span style="font-weight: bold;">Subject:</span></b> [EM] Extent of quota violation in Webster<br> </font> </div> <div class="y_msg_container" id="yui_3_16_0_1_1420492321968_8979"><br>It's well known that Webster may violate quota. But (because of my <br>investigations into more sophisticated "manageable" party list methods), <br>I'm curious as to how far from quota it can go.<br><br>Does anyone know how severe a quota violation Webster can have? Is it <br>limited to one seat maximum due to the locally optimal allocation <br>property of Webster itself - i.e. that you can't alter a single <br>assignment and make everybody better off? Or can Webster violate quota <br>to a greater extent than this?<br>----<br>Election-Methods mailing list - see <a href="http://electorama.com/em" target="_blank">http://electorama.com/em </a>for list info<br><br><br></div> </div> </div> </blockquote> </div></body></html>