{"id":2100,"date":"2013-02-19T09:03:05","date_gmt":"2013-02-19T14:03:05","guid":{"rendered":"http:\/\/gabrielsnyder.com\/notes\/?p=2100"},"modified":"2013-02-19T09:03:06","modified_gmt":"2013-02-19T14:03:06","slug":"clever-students-use-game-theory-to-get-perfect-scores-on-an-exam","status":"publish","type":"post","link":"http:\/\/gabrielsnyder.com\/notes\/2013\/02\/19\/clever-students-use-game-theory-to-get-perfect-scores-on-an-exam\/","title":{"rendered":"Clever Students Use Game Theory to Get Perfect Scores on an Exam"},"content":{"rendered":"<p><img data-recalc-dims=\"1\" decoding=\"async\" style=\"vertical-align:top;display:block;margin-left:auto;margin-right:auto\" src=\"https:\/\/i0.wp.com\/uploads.neatorama.com\/images\/posts\/425\/58\/58425\/1361239430-0.jpg?w=525\" alt=\"Kobayashi Maru test\" ><\/p>\n<p>Dr. Peter\u00c2\u00a0Fr\u00c3\u00b6hlich of Johns Hopkins University grades exams so that the highest scoring exam receives a 100% grade and all others fall below on a curve. It wasn&#8217;t a <a href=\"http:\/\/en.memory-alpha.org\/wiki\/Kobayashi_Maru_scenario\"><em>Kobayashi Maru<\/em> scenario<\/a>, but his exams are hard. Fr\u00c3\u00b6hlich&#8217;s students devised a cunning plan to all get A grades. It involved boycotting the exam:<\/p>\n<blockquote>\n<p>Since he started teaching at Johns Hopkins University in 2005, Professor Peter Fr\u00c3\u00b6hlich has maintained a grading curve in which each class\u00e2\u20ac\u2122s highest grade on the final counts as an A, with all other scores adjusted accordingly. So if a midterm is worth 40 points, and the highest actual score is 36 points, &#8220;that person gets 100 percent and everybody else gets a percentage relative to it,\u00e2\u20ac\u009d said Fr\u00c3\u00b6hlich.<\/p>\n<p>This approach, Fr\u00c3\u00b6hlich said, is the &#8220;most predictable and consistent way&#8221; of comparing students&#8217; work to their peers&#8217;, and it worked well.<\/p>\n<p>At least it did until the end of the fall term at Hopkins, that is.<\/p>\n<p>As the semester ended in December, students in Fr\u00c3\u00b6hlich\u00e2\u20ac\u2122s &#8220;Intermediate Programming&#8221;, &#8220;Computer System Fundamentals,&#8221; and &#8220;Introduction to Programming for Scientists and Engineers&#8221; classes decided to test the limits of the policy, and collectively planned to boycott the final. Because they all did, a zero was the highest score in each of the three classes, which, by the rules of Fr\u00c3\u00b6hlich\u00e2\u20ac\u2122s curve, meant every student received an A.<\/p>\n<\/blockquote>\n<p>Dr.\u00c2\u00a0Fr\u00c3\u00b6hlich abided by his grading policy and gave all students A grades, as well as congratulating them on their cooperative spirit:<\/p>\n<blockquote>\n<p><span>Fr\u00c3\u00b6hlich took a surprisingly philosophical view of his students&#8217; machinations, crediting their collaborative spirit. &#8220;The students learned that by coming together, they can achieve something that individually they could never have done,&#8221; he said via e-mail. \u00e2\u20ac\u0153At a school that is known (perhaps unjustly) for competitiveness I didn&#8217;t expect that reaching such an agreement was possible.<\/span><\/p>\n<\/blockquote>\n<p><a href=\"http:\/\/www.insidehighered.com\/news\/2013\/02\/12\/students-boycott-final-challenge-professors-grading-policy-and-get\">Link<\/a> -via <a href=\"http:\/\/www.volokh.com\/2013\/02\/17\/when-everyone-wins-with-a-zero\/\">The Volokh Conspiracy<\/a>\u00c2\u00a0| Image: Paramount Pictures<\/p>\n<div>\n<a href=\"http:\/\/feeds.feedburner.com\/~ff\/Neatorama?a=y7tASv6vtMM:feRDBs7sDY4:yIl2AUoC8zA\"><img decoding=\"async\" src=\"http:\/\/feeds.feedburner.com\/~ff\/Neatorama?d=yIl2AUoC8zA\" border=\"0\"><\/a>\n<\/div>\n<p>via Neatorama <a href=\"http:\/\/www.neatorama.com\/2013\/02\/19\/Clever-Students-Use-Game-Theory-to-Get-Perfect-Scores-on-an-Exam\/?utm_source=feedburner&#038;utm_medium=feed&#038;utm_campaign=Feed%3A+Neatorama+%28Neatorama%29\">http:\/\/www.neatorama.com\/2013\/02\/19\/Clever-Students-Use-Game-Theory-to-Get-Perfect-Scores-on-an-Exam\/?utm_source=feedburner&#038;utm_medium=feed&#038;utm_campaign=Feed%3A+Neatorama+%28Neatorama%29<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Dr. Peter\u00c2\u00a0Fr\u00c3\u00b6hlich of Johns Hopkins University grades exams so that the highest scoring exam receives a 100% grade and all others fall below on a curve. It wasn&#8217;t a Kobayashi Maru scenario, but his exams are hard. Fr\u00c3\u00b6hlich&#8217;s students devised a cunning plan to all get A grades. It involved boycotting the exam: Since he &hellip; <\/p>\n<p class=\"link-more\"><a href=\"http:\/\/gabrielsnyder.com\/notes\/2013\/02\/19\/clever-students-use-game-theory-to-get-perfect-scores-on-an-exam\/\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;Clever Students Use Game Theory to Get Perfect Scores on an Exam&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":false,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[7],"tags":[6,215,216],"class_list":["post-2100","post","type-post","status-publish","format-standard","hentry","category-google-reader","tag-ifttt","tag-john-farrier","tag-neatorama"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p2skW4-xS","jetpack_likes_enabled":true,"_links":{"self":[{"href":"http:\/\/gabrielsnyder.com\/notes\/wp-json\/wp\/v2\/posts\/2100","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/gabrielsnyder.com\/notes\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/gabrielsnyder.com\/notes\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/gabrielsnyder.com\/notes\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/gabrielsnyder.com\/notes\/wp-json\/wp\/v2\/comments?post=2100"}],"version-history":[{"count":0,"href":"http:\/\/gabrielsnyder.com\/notes\/wp-json\/wp\/v2\/posts\/2100\/revisions"}],"wp:attachment":[{"href":"http:\/\/gabrielsnyder.com\/notes\/wp-json\/wp\/v2\/media?parent=2100"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/gabrielsnyder.com\/notes\/wp-json\/wp\/v2\/categories?post=2100"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/gabrielsnyder.com\/notes\/wp-json\/wp\/v2\/tags?post=2100"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}