{"id":1557,"date":"2011-07-05T22:43:43","date_gmt":"2011-07-05T12:43:43","guid":{"rendered":"http:\/\/www.somethinkodd.com\/oddthinking\/?p=1557"},"modified":"2011-07-05T22:43:43","modified_gmt":"2011-07-05T12:43:43","slug":"some-of-my-best-friends-are-donkeys","status":"publish","type":"post","link":"https:\/\/www.somethinkodd.com\/oddthinking\/2011\/07\/05\/some-of-my-best-friends-are-donkeys\/","title":{"rendered":"Some of My Best Friends are Donkeys"},"content":{"rendered":"<p>Recently I have been handing out some club promotional items to my friends. Nothing fancy.<\/p>\n<p>Some of them are have better printing quality than others. Nothing major; a vast majority were 10\/10 quality, several were 9\/10, and a couple were 8\/10.<\/p>\n<p>Rather than try to decide to distribute them according to a personal rating of who my bestest, best friends are, and risk offending people twice (once because they got a poorer item, and again when they realised it was because I didn&#8217;t love them), I decided to distribute the items completely randomly.<\/p>\n<p>Now, it isn&#8217;t enough to assign them randomly; people would be suspicious I was playing favourites. So I proceeded to hold out two items, one in each hand, with the printing hidden, and ask &#8220;Left or Right?&#8221;, to demonstrate that I wasn&#8217;t forcing a choice. In actual fact, I deliberately blinded myself to the choices &#8211; I didn&#8217;t know which, if either, was better, but they had no way of being sure of that.<\/p>\n<p>The responses I got were odd.<\/p>\n<p>In a sample of over a dozen, I don&#8217;t think a single person actually chose &#8220;Left&#8221;. That&#8217;s very surprising, until I reveal I don&#8217;t think a single person chose &#8220;Right&#8221; either.<\/p>\n<p>Instead, a few said &#8220;I don&#8217;t care&#8221;, which is rational, but put me in a tiny bind. If I selected a bad choice on them, I could then be accused of doing it deliberately. The real reason for offering the choice was to protect <em>me<\/em>, not them. If they didn&#8217;t choose, I lost that protection.<\/p>\n<p>The rest dithered over which to choose, until I became frustrated and thrust one at them and moved to the next person. &#8220;Left? Right? Oooh, so hard!&#8221; Actually, it isn&#8217;t hard. There was absolutely no indication that would help them. The expected value of each hand is identical; the only irrational choice would be to waste effort trying to rationally choose an answer with no data. Instead, they stalled like human instantiations of <a href=\"http:\/\/www.somethinkodd.com\/oddthinking\/2010\/07\/07\/lamport-on-buridans-principle\/\">Buridan&#8217;s donkey<\/a>, unable to choose. Bah!<\/p>\n<p>None of them clicked that the offering of this choice was a piece of theatre anyway. If they were going to stop to think it through, they shouldn&#8217;t have been considering left versus right; they should have challenged me to prove that I wasn&#8217;t offering them a choice between two of the &#8220;dud&#8221; items, thus forcing one on them.<\/p>\n<p>Even if I proved that I was holding one good and one bad item, that still wouldn&#8217;t show that I wasn&#8217;t cheating. A majority of the items were good, so I could be offering my least favourite friends one good and one bad, while offering my favourite friends a choice between two good ones. That wouldn&#8217;t guarantee any one individual would get a bad one, but just increase the risk to 50%, where the favoured few enjoyed a much lower rate.<\/p>\n<p>I repeat, I wasn&#8217;t doing any of this; I deliberately hid the printing and shuffled them so even I didn&#8217;t know which were which. <\/p>\n<p>Nor have I sat down and ranked my friends objectively. &#8220;You&#8217;re my best friend, and you&#8217;re my second best friend&#8221; is a manipulative game best left to the schoolyard. <\/p>\n<p>&#8230; but if I did, just pointing to a hand and saying &#8220;THAT ONE!&#8221; might just rocket you to the top.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>I ask my friends to choose between two items with equal expected value, and no reason to prefer one than the other, and they can&#8217;t decide.<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_s2mail":"yes","footnotes":""},"categories":[23,24,21],"tags":[],"class_list":["post-1557","post","type-post","status-publish","format-standard","hentry","category-based-on-a-true-story","category-cathartic-rant","category-observation"],"_links":{"self":[{"href":"https:\/\/www.somethinkodd.com\/oddthinking\/wp-json\/wp\/v2\/posts\/1557","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.somethinkodd.com\/oddthinking\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.somethinkodd.com\/oddthinking\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.somethinkodd.com\/oddthinking\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.somethinkodd.com\/oddthinking\/wp-json\/wp\/v2\/comments?post=1557"}],"version-history":[{"count":2,"href":"https:\/\/www.somethinkodd.com\/oddthinking\/wp-json\/wp\/v2\/posts\/1557\/revisions"}],"predecessor-version":[{"id":1559,"href":"https:\/\/www.somethinkodd.com\/oddthinking\/wp-json\/wp\/v2\/posts\/1557\/revisions\/1559"}],"wp:attachment":[{"href":"https:\/\/www.somethinkodd.com\/oddthinking\/wp-json\/wp\/v2\/media?parent=1557"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.somethinkodd.com\/oddthinking\/wp-json\/wp\/v2\/categories?post=1557"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.somethinkodd.com\/oddthinking\/wp-json\/wp\/v2\/tags?post=1557"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}