<br><br><div class="gmail_quote">2011/11/23 Kristofer Munsterhjelm <span dir="ltr"><<a href="mailto:km_elmet@lavabit.com">km_elmet@lavabit.com</a>></span><br><blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex;">
<div class="im">Jameson Quinn wrote:<br>
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That's weaker than the FBC. The FBC says you shouldn't have to betray your favorite to get a result you prefer, not that you shouldn't have to betray your favorite to get your favorite.<br>
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To restate it in Kristofer's terms:<br>
Say an election elects X != Y. Now take a ballot which does not rate Y top or equal-top. There must be some way to replace that with a ballot which ranks Y top or equal-top and still get an election which elects either X or Y.<br>
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That is, for any result you can get with favorite betrayal, either you can get that same result without favorite betrayal, or you can get your favorite without favorite betrayal.<br>
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That may still be incorrect, now that you mention it. Say your honest preference is A>B>C>D>E=F, and that in the "baseline" case (where you don't vote A, B, C, or D top), D wins. Then if rearranging your ballot so that A is at top makes C win, then neither D nor A won after the rearranging, yet C winning is an outcome you prefer, so that shouldn't fail the FBC.<br>
<br></blockquote><div>Sorry, I was unclear. In your example, there must be some A-top ballot where D or A wins (because what if your real preference is A>D>everyone else?). That doesn't mean that there cannot be any A-top ballot where C wins. So based on the information given, the method in that example has not yet failed the FBC. (Unless all possible A-top ballots make C win).</div>
<div><br></div><div>Jameson</div></div><br>