<html><head></head><body><div style="color:#000; background-color:#fff; font-family:Helvetica Neue, Helvetica, Arial, Lucida Grande, sans-serif;font-size:13px"><div><span></span></div><div class="qtdSeparateBR" id="yui_3_16_0_ym19_1_1507489011549_2660" dir="ltr">I'd certainly say that IIA is worth achieving if it can be done. But while I imagine that LIIA is supposed to go some way towards full IIA, I think that this is an illusion. Let's say we have an A>B>C>A cycle. If A wins, then the result order under an LIIA compliant system must be:</div><div class="qtdSeparateBR" id="yui_3_16_0_ym19_1_1507489011549_2701" dir="ltr"><br></div><div class="qtdSeparateBR" id="yui_3_16_0_ym19_1_1507489011549_2754" dir="ltr">1. A</div><div class="qtdSeparateBR" id="yui_3_16_0_ym19_1_1507489011549_2753" dir="ltr">2. B</div><div class="qtdSeparateBR" id="yui_3_16_0_ym19_1_1507489011549_2702" dir="ltr">3. C</div><div class="qtdSeparateBR" id="yui_3_16_0_ym19_1_1507489011549_2703" dir="ltr"><br></div><div class="qtdSeparateBR" id="yui_3_16_0_ym19_1_1507489011549_2759" dir="ltr">Adjacent candidates in the order will never swap over if other candidates are removed. If A is removed, B wins. If C is removed, A wins. But the question is: what is so special about adjacent candidates? This simply means that if B is removed, then C wins. This is arguably worse than adjacent candidates swapping because a candidate has gone above a candidate that was originally two places above them.</div><div class="qtdSeparateBR" id="yui_3_16_0_ym19_1_1507489011549_2717" dir="ltr"><br></div><div class="qtdSeparateBR" id="yui_3_16_0_ym19_1_1507489011549_2752" dir="ltr">Failure of IIA means that there is the possibility that a pair of candidates will swap their order with the removal of a third candidate. Passing LIIA simply determines which candidates might swap over, but without any justification of why these swaps are better than other swaps.</div><div class="qtdSeparateBR" id="yui_3_16_0_ym19_1_1507489011549_2760" dir="ltr"><br></div><div class="qtdSeparateBR" id="yui_3_16_0_ym19_1_1507489011549_2761" dir="ltr">Toby<br id="yui_3_16_0_ym19_1_1507489011549_2768"><br></div><div class="yahoo_quoted" id="yui_3_16_0_ym19_1_1507489011549_2537" style="display: block;"> <div id="yui_3_16_0_ym19_1_1507489011549_2536" style="font-family: Helvetica Neue, Helvetica, Arial, Lucida Grande, sans-serif; font-size: 13px;"> <div id="yui_3_16_0_ym19_1_1507489011549_2535" style="font-family: HelveticaNeue, Helvetica Neue, Helvetica, Arial, Lucida Grande, Sans-Serif; font-size: 16px;"> <div id="yui_3_16_0_ym19_1_1507489011549_2534" dir="ltr"> <font id="yui_3_16_0_ym19_1_1507489011549_2602" face="Arial" size="2"> <hr size="1" id="yui_3_16_0_ym19_1_1507489011549_2603"> <b><span style="font-weight: bold;">From:</span></b> Rob Lanphier <robla@robla.net><br> <b><span style="font-weight: bold;">To:</span></b> "tdp201b@yahoo.co.uk" <tdp201b@yahoo.co.uk> <br><b><span style="font-weight: bold;">Cc:</span></b> "rahyman@sbcglobal.net" <rahyman@sbcglobal.net>; Kristofer Munsterhjelm <km_elmet@t-online.de>; "election-methods@lists.electorama.com" <election-methods@lists.electorama.com><br> <b><span style="font-weight: bold;">Sent:</span></b> Sunday, 8 October 2017, 17:41<br> <b><span style="font-weight: bold;">Subject:</span></b> Re: [EM] Let's play Jenga!<br> </font> </div> <div class="y_msg_container" id="yui_3_16_0_ym19_1_1507489011549_2596"><br><div id="yiv1618798607"><div id="yui_3_16_0_ym19_1_1507489011549_2595"><div id="yui_3_16_0_ym19_1_1507489011549_2594" dir="ltr"><div class="yiv1618798607gmail_extra" id="yui_3_16_0_ym19_1_1507489011549_2593"><div class="yiv1618798607gmail_quote" id="yui_3_16_0_ym19_1_1507489011549_2592">On Sun, Oct 8, 2017 at 6:44 AM, Toby Pereira <span dir="ltr"><<a href="mailto:tdp201b@yahoo.co.uk" target="_blank" rel="nofollow" shape="rect" ymailto="mailto:tdp201b@yahoo.co.uk">tdp201b@yahoo.co.uk</a>></span> wrote:<br clear="none"><blockquote class="yiv1618798607gmail_quote" style="margin: 0px 0px 0px 0.8ex; padding-left: 1ex; border-left-color: rgb(204, 204, 204); border-left-width: 1px; border-left-style: solid;">I've never seen an explanation of why LIIA [(Local Independence from Irrelevant Alternatives)] is something you'd want to achieve in a method. It seems to be a criterion for the sake of it.</blockquote><div><br clear="none"></div><div id="yui_3_16_0_ym19_1_1507489011549_2601">Do you believe standard IIA[1] is something worth achieving?</div><div><br clear="none"></div><div id="yui_3_16_0_ym19_1_1507489011549_2600">Rob</div><div class="yiv1618798607yqt0004828639" id="yiv1618798607yqtfd56562"><div id="yui_3_16_0_ym19_1_1507489011549_2591"><br clear="none"></div></div><div id="yui_3_16_0_ym19_1_1507489011549_2597"><div class="yiv1618798607yqt0004828639" id="yiv1618798607yqtfd13242">[1]: </div><a id="yui_3_16_0_ym19_1_1507489011549_2598" href="https://en.wikipedia.org/wiki/Independence_of_irrelevant_alternatives" target="_blank" rel="nofollow" shape="rect">https://en.wikipedia.org/wiki/Independence_of_irrelevant_alternatives</a><div class="yiv1618798607yqt0004828639" id="yiv1618798607yqtfd18076"><br clear="none"></div></div><div class="yiv1618798607yqt0004828639" id="yiv1618798607yqtfd56093"><div id="yui_3_16_0_ym19_1_1507489011549_2599"> </div></div></div></div></div></div></div><br><br></div> </div> </div> </div></div></body></html>