<html><head><meta http-equiv="Content-Type" content="text/html; charset=utf-8"></head><body style="word-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;" class=""><br class=""><div><br class=""><blockquote type="cite" class=""><div class="">On Oct 23, 2018, at 1:14 PM, Tim Peters <<a href="mailto:tim.peters@gmail.com" class="">tim.peters@gmail.com</a>> wrote:</div><br class="Apple-interchange-newline"><div class=""><div dir="ltr" style="caret-color: rgb(0, 0, 0); font-family: Helvetica; font-size: 12px; font-style: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none;" class="">[Alex Martelli <<a href="mailto:aleax@google.com" class="">aleax@google.com</a>>]</div><blockquote class="gmail_quote" style="caret-color: rgb(0, 0, 0); font-family: Helvetica; font-size: 12px; font-style: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none; margin: 0px 0px 0px 0.8ex; border-left-width: 1px; border-left-style: solid; border-left-color: rgb(204, 204, 204); padding-left: 1ex;"><div dir="ltr" class=""><div dir="ltr" class="">While I suspect most participants are aware of this, just in care some don't I thought I'd just point out that it's futile to look for a "perfect" voting system -- Kenneth Arrow proved that long ago, see <a href="https://en.wikipedia.org/wiki/Arrow%27s_impossibility_theorem" target="_blank" class="">https://en.wikipedia.org/wiki/Arrow%27s_impossibility_theorem</a> </div></div></blockquote><div style="caret-color: rgb(0, 0, 0); font-family: Helvetica; font-size: 12px; font-style: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none;" class=""><br class="">Yup! Ping's page acknowledges that explicitly:</div></div></blockquote></div><br class=""><div class=""><br class=""></div><div class="">Important to note that Arrow’s theorem applies only to ranked or ordinal systems, cardinal/rated systems are not covered by it (though the larger point of no perfect system still holds true).</div></body></html>