{"id":16,"date":"2011-07-06T10:48:44","date_gmt":"2011-07-06T14:48:44","guid":{"rendered":"http:\/\/omega.math.union.edu\/research\/2010-05-voting\/?page_id=16"},"modified":"2011-07-08T21:08:25","modified_gmt":"2011-07-09T01:08:25","slug":"profile-00350","status":"publish","type":"page","link":"https:\/\/omega.math.union.edu\/research\/2010-05-voting\/examples\/profile-00350\/","title":{"rendered":"pi_1 = <0,0,3,0,5,0>"},"content":{"rendered":"<h3>Instructions:<\/h3>\n<p>Here, three voters pull the red point toward <i>r<\/i><span class=\"gt\">&gt;<\/span><i>p<\/i><span class=\"gt\">&gt;<\/span><i>q<\/i>, and five toward <i>q<\/I><span class=\"gt\">&gt;<\/span><i>r<\/i><span class=\"gt\">&gt;<\/span><i>p<\/i>. Where do you think the red point will end up?  (Who will win the election?)<\/p>\n<p>Click the red dot to release it and start the simulation.  The green wedge(s) indicate the winning ranking(s).<\/p>\n<p><script>\n  Voting = {\n    V: [0,0,3,0,5,0],\n    model: \"Mean\"\n  }\n<\/script><\/p>\n<h3 class=\"explanation\" onclick=\"toggleExplanation(this)\"><span id=\"triangle\">&#x25B7;<\/span> Explanation:<\/h3>\n<div id=\"explanation\" style=\"height:0px\">With the Mean button enabled, each vote is connected to the red dot by an &#8220;ideal rubber band&#8221;; tension is proportional to the band\u2019s length. One of the blue lines here represents 3 such bands, and the other represents 5.<\/p>\n<p>Switching to Mediancentre, each vote exerts a unit force on the red dot, which doesn&#8217;t vary with the length of the blue line. Such forces would be exerted by strings and weights (as explained in the article).<\/p><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Instructions: Here, three voters pull the red point toward r&gt;p&gt;q, and five toward q&gt;r&gt;p. Where do you think the red point will end up? (Who will win the election?) Click the red dot to release it and start the simulation. The green wedge(s) indicate the winning ranking(s). &#x25B7; Explanation: With the Mean button enabled, each [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":5,"menu_order":0,"comment_status":"open","ping_status":"open","template":"","meta":[],"_links":{"self":[{"href":"https:\/\/omega.math.union.edu\/research\/2010-05-voting\/wp-json\/wp\/v2\/pages\/16"}],"collection":[{"href":"https:\/\/omega.math.union.edu\/research\/2010-05-voting\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/omega.math.union.edu\/research\/2010-05-voting\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/omega.math.union.edu\/research\/2010-05-voting\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/omega.math.union.edu\/research\/2010-05-voting\/wp-json\/wp\/v2\/comments?post=16"}],"version-history":[{"count":9,"href":"https:\/\/omega.math.union.edu\/research\/2010-05-voting\/wp-json\/wp\/v2\/pages\/16\/revisions"}],"predecessor-version":[{"id":125,"href":"https:\/\/omega.math.union.edu\/research\/2010-05-voting\/wp-json\/wp\/v2\/pages\/16\/revisions\/125"}],"up":[{"embeddable":true,"href":"https:\/\/omega.math.union.edu\/research\/2010-05-voting\/wp-json\/wp\/v2\/pages\/5"}],"wp:attachment":[{"href":"https:\/\/omega.math.union.edu\/research\/2010-05-voting\/wp-json\/wp\/v2\/media?parent=16"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}