{"id":5920,"date":"2012-02-27T05:00:37","date_gmt":"2012-02-27T10:00:37","guid":{"rendered":"http:\/\/marcfbellemare.com\/wordpress\/?p=5920"},"modified":"2012-02-26T09:24:44","modified_gmt":"2012-02-26T14:24:44","slug":"speeding-fines-that-vary-with-income-absolute-vs-relative-risk-aversion-and-public-policy","status":"publish","type":"post","link":"https:\/\/marcfbellemare.com\/wordpress\/5920","title":{"rendered":"Speeding Fines That Vary With Income: Absolute vs. Relative Risk Aversion and Public Policy"},"content":{"rendered":"<p style=\"padding-left: 30px;\">Where there are posted restrictions, most European countries take speeding very seriously and levy hefty fines. The latest case in point is a\u00a037 year-old Swedish man who was clocked at 180 miles per hour on a motorway between Bern and Lausanne in Switzerland.<\/p>\n<p style=\"padding-left: 30px;\">Unfortunately for this driver of a new\u00a0Mercedes-Benz SLS AMG, Switzerland doesn&#8217;t have fixed fines for speeding. Instead they use a formula similar to that in Finland where the fine is calculated based on the vehicle&#8217;s speed and the driver&#8217;s income. Back in 2002, Nokia executive\u00a0Anssi Vanjoki had to pay a fine of $103,600\u00a0for going 47 mph in a 31 mph zone.<\/p>\n<p>A student in my Law, Economics, and Organization seminar mentioned the\u00a0<a title=\"Swedish Man May Pay Largest Speeding Fine Ever\" href=\"http:\/\/www.autoblog.com\/2010\/08\/13\/swedish-man-may-pay-largest-speeding-fine-ever\/\" target=\"_blank\">article<\/a>\u00a0quoted above last week when I was explaining the difference between the twin concepts of absolute and relative risk aversion.<\/p>\n<p>In economics, risk is not so much about what most people call risk as it is about gambles over income. In other words, risk preferences are defined over income or wealth. See\u00a0<a title=\"Law's Order\" href=\"http:\/\/www.daviddfriedman.com\/laws_order\/\" target=\"_blank\">here<\/a>\u00a0for an excellent discussion starting on page 64 in chapter 6 of David Friedman&#8217;s\u00a0<em><a title=\"Law's Order\" href=\"http:\/\/www.amazon.com\/Laws-Order-What-Economics-Matters\/dp\/0691090092\/ref=sr_1_1?s=books&amp;ie=UTF8&amp;qid=1330106619&amp;sr=1-1\" target=\"_blank\">Law&#8217;s Order<\/a><\/em>. So why would Switzerland and Finland have speeding fines that vary with income?<!--more--><\/p>\n<h3>Absolute Versus Relative Risk Aversion<\/h3>\n<p>Two measures of risk in economics are absolute risk aversion &#8212; one&#8217;s risk preferences over absolute amounts of money (e.g., a gamble involving a 50-percent chance of losing $200 and a 50-percent chance of winning $500) &#8212; and relative risk aversion &#8212; one&#8217;s risk preferences over proportions of one&#8217;s wealth or income (e.g., a gamble involving a 50-percent chance of losing 0.2 percent of one&#8217;s annual income and a 50-percent chance of\u00a0winning\u00a00.5 percent of one&#8217;s annual income).<\/p>\n<p>Analytically, the two concepts are closely related. Letting\u00a0<em>w<\/em>\u00a0denote income or wealth,\u00a0<em>A<\/em>(<em>w<\/em>) denote absolute risk aversion, and\u00a0<em>R(<em>w<\/em>)<\/em>\u00a0denote relative risk aversion, both as a function of income and wealth, we have that\u00a0<em>R(<em>w<\/em>)\u00a0= w\u00b7A(<em>w<\/em>)<\/em>.<\/p>\n<p>It is generally the case that people getting less absolutely risk averse as they get wealthier. In other words, as <em>w<\/em>\u00a0increases,\u00a0<em>A<\/em>(<em>w<\/em>)\u00a0decreases.<\/p>\n<p>When\u00a0<em>A<\/em>(<em>w<\/em>)\u00a0decreases as income increases, we talk of decreasing absolute risk aversion. If it is the case that people are decreasingly absolutely risk averse &#8212; that is, if a gamble over a specific dollar amount is increasingly attractive as someone gets wealthier &#8212; then this means that wealthier individuals are more likely to be risk-seeking. In other words, wealthier individuals will be more likely to drive too fast, since for them, a $250 speeding fine represents a smaller (absolute) risk.<\/p>\n<p>To curb this type of behavior, it makes sense that policy makers might want to tie speeding fines to the driver&#8217;s income or wealth, as in the article above.<\/p>\n<p>Under a vast number of circumstances, even if absolute risk aversion\u00a0<em>A<\/em>(<em>w<\/em>) decreases as <em>w<\/em>\u00a0increases, relative risk aversion\u00a0<em>R(<em>w<\/em>)<\/em>\u00a0will increase as <em>w<\/em>\u00a0increases. This means that when speeding fines are proportions of a driver&#8217;s income (e.g., you pay 5 percent of your income if you are caught speeding) rather than absolute dollar amounts (e.g., you pay $250 if you are caught speeding).<\/p>\n<p>More importantly, this also suggests that courts could &#8212; and, if you take the distinction between absolute and relative risk aversion seriously, should &#8212; impose <a title=\"Damages\" href=\"http:\/\/en.wikipedia.org\/wiki\/Damages\" target=\"_blank\">damages<\/a> proportional to the defendant&#8217;s income rather than fixed damages when deciding how much a defendant should compensate a plaintiff for a loss or injury.<\/p>\n<p>(HT: Dylan Flye.)<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Where there are posted restrictions, most European countries take speeding very seriously and levy hefty fines. The latest case in point is a\u00a037 year-old Swedish<\/p>\n<div class=\"more-link-wrapper\"><a class=\"more-link\" href=\"https:\/\/marcfbellemare.com\/wordpress\/5920\">Continue reading<span class=\"screen-reader-text\">Speeding Fines That Vary With Income: Absolute vs. Relative Risk Aversion and Public Policy<\/span><\/a><\/div>\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":""},"categories":[11,61,48,12,15,46],"tags":[],"class_list":["post-5920","post","type-post","status-publish","format-standard","hentry","category-culture","category-land","category-methods","category-policy","category-teaching","category-travel","entry"],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p1gPg8-1xu","_links":{"self":[{"href":"https:\/\/marcfbellemare.com\/wordpress\/wp-json\/wp\/v2\/posts\/5920","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/marcfbellemare.com\/wordpress\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/marcfbellemare.com\/wordpress\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/marcfbellemare.com\/wordpress\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/marcfbellemare.com\/wordpress\/wp-json\/wp\/v2\/comments?post=5920"}],"version-history":[{"count":26,"href":"https:\/\/marcfbellemare.com\/wordpress\/wp-json\/wp\/v2\/posts\/5920\/revisions"}],"predecessor-version":[{"id":5962,"href":"https:\/\/marcfbellemare.com\/wordpress\/wp-json\/wp\/v2\/posts\/5920\/revisions\/5962"}],"wp:attachment":[{"href":"https:\/\/marcfbellemare.com\/wordpress\/wp-json\/wp\/v2\/media?parent=5920"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/marcfbellemare.com\/wordpress\/wp-json\/wp\/v2\/categories?post=5920"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/marcfbellemare.com\/wordpress\/wp-json\/wp\/v2\/tags?post=5920"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}