{"id":6,"date":"2005-03-14T07:40:12","date_gmt":"2005-03-14T11:40:12","guid":{"rendered":"http:\/\/blogs.law.harvard.edu\/rlucastemp\/2005\/03\/14\/oregon-lottery-video-poker-hold-ev"},"modified":"2005-03-14T07:40:12","modified_gmt":"2005-03-14T11:40:12","slug":"oregon-lottery-video-poker-hold-ev-statistics","status":"publish","type":"post","link":"https:\/\/archive.blogs.harvard.edu\/rlucastemp\/2005\/03\/14\/oregon-lottery-video-poker-hold-ev-statistics\/","title":{"rendered":"Oregon Lottery Video Poker Hold \/ EV statistics"},"content":{"rendered":"<p><a name='a69'><\/a><\/p>\n<p>This posting has three parts:<br \/>\n<span style=\"font-weight: bold;\"><br \/>\nI. Why video lottery is a bad thing for the state to run<br \/>\n<\/span>&nbsp;&nbsp;&nbsp; in which I describe philosophical and practical problems with the status quo.<span style=\"font-weight: bold;\"><br \/>\nII. What the state doesn&#8217;t tell about the mechanics of video lottery<br \/>\n<\/span>&nbsp;&nbsp;&nbsp; in which I describe the key statistical<br \/>\nmetrics of how deleterious the game itself is, which metrics are not<br \/>\npublished by the state.<span style=\"font-weight: bold;\"><br \/>\nIII. My proposed scheme for remedying the situation.<br \/>\n<\/span>&nbsp;&nbsp;&nbsp; in which I indulge myself with presumed legislative fiat.<\/p>\n<p>It will in turn be followed (preceded, for those of you reading in LIFO<br \/>\norder on the main page) by specific information hinted at in section II.<\/p>\n<p><span style=\"font-weight: bold;\">I. Why video lottery is a bad thing for the state to run.<br \/>\n<\/span><br \/>\nVideo poker (video lottery) as run in Oregon is deplorable for a number of reasons:<\/p>\n<p>1. It uses a state-enforced monopoly to dole out &#8220;free money&#8221; to the private sector at the whim of the lottery administrators.<br \/>\n&nbsp;&nbsp;&nbsp; A. No innovations, goods, or services are required<br \/>\nof lottery &#8220;retailers&#8221; &#8212; the machine is in effect an artificially<br \/>\nscarce rent-producing box.<br \/>\n&nbsp;&nbsp;&nbsp; B. Unlike in a public-private collaboration such as<br \/>\na utility, where the public (through the state) gives rights-of-way and<br \/>\nmonopoly in exchange for the pulic good of universal power and<br \/>\ncommunications accessibility, the private portion of the video poker<br \/>\ncartel (bars) brings nothing to the table except access to drunk people<br \/>\nwith cash.<br \/>\n&nbsp;&nbsp;&nbsp; C. Giving free rents to qualifying and willing bars<br \/>\nin this manner dramatically disorts the economics of bar ownership,<br \/>\nsubsidizing poor management of properties (it is not unusual that a bar should &#8220;break even&#8221;<br \/>\non honest revenues, and make the annual profit from video lottery) and<br \/>\npenalizing bars whose morals or decorum make video lottery unacceptable.<\/p>\n<p>2. It figuratively &#8220;addicts&#8221; the state budget to its revenues, giving itself institutional inertia.<br \/>\n&nbsp;&nbsp;&nbsp; A. Video lottery sales comprise the lion&#8217;s share of<br \/>\nlottery sales ($530 M \/ $895 M in FY 04), making the video lottery the<br \/>\nsine qua non of the entire operation.&nbsp; (The portion of sales from<br \/>\nvideo lottery will rise dramatically as &#8220;line games&#8221; &#8212; slot machines<br \/>\n&#8212; are added.)<br \/>\n&nbsp;&nbsp;&nbsp; B. The net transfers to the state in excess of $364<br \/>\nM&nbsp; make for 3% of the state&#8217;s budget.&nbsp; This does not include<br \/>\nan effective &#8220;slush&#8221; fund of carry-forward earnings.&nbsp; Legislators<br \/>\nmust account for this gap if they take anti-lottery measures,<br \/>\neffectively hobbling forward-thinking lawmakers.&nbsp; Job and<br \/>\nentitlement cuts that would follow budget cuts due to lottery rollback<br \/>\ngive the lottery allies in the powerful public-employee unions.<br \/>\n&nbsp;&nbsp;&nbsp; C. The lottery uses its earnings, before paying the<br \/>\nstate its dividend, to pay for aggressive public-relations campaigns to<br \/>\nensure its institutional lifespan.&nbsp; If Republicans are afraid of<br \/>\nhaving to &#8220;starve&#8221; state-perpetuated &#8220;beasts,&#8221; this one is<br \/>\ntruly fearsome.<\/p>\n<p>3. It literally addicts gamblers, and constitutes a massive regressive wealth-transfer system.<br \/>\n&nbsp;&nbsp;&nbsp; A. The video lottery is faster and more addictive<br \/>\nthan paper lottery tickets; in fact, Oregon video lottery now<br \/>\nofficially includes &#8220;line games,&#8221; or slot machines.&nbsp; For more on<br \/>\nthe addictiveness of the video lottery in South Carolina, see<br \/>\nhttp:\/\/slate.msn.com\/id\/36673\/<br \/>\n&nbsp;&nbsp;&nbsp; B. By reducing the need for a higher or more<br \/>\nprogressive income tax, the video lottery subsidizes the highest-income<br \/>\nOregonians.&nbsp; (Not that we need to be paying particularly higher<br \/>\nincome taxes, mind you, but there you have it.)<\/p>\n<p>4. WORST OF ALL: Video lottery is the least transparently-treated part of the whole lottery scheme.<br \/>\n&nbsp;&nbsp;&nbsp; A. The lottery commission emphasizes the paper<br \/>\nticket games on its web site and its PR campaigns.&nbsp; In fact, the<br \/>\n&#8220;ticket&#8221; lottery sales (excluding keno, multistate, and sports) amount<br \/>\nto less than 22% of sales &#8212; the vast majority comes from video lottery.<br \/>\n&nbsp;&nbsp;&nbsp; B. The lottery publishes frequency charts and odds<br \/>\nof winning for the various ticket games, but publishes little about the<br \/>\nvideo lottery machines.<br \/>\n&nbsp;&nbsp;&nbsp; C. Nowhere are the rules, EV \/ hold, and frequency audits of the video poker machines published.&nbsp; <\/p>\n<p>On the flip side, however, there are lots of things to like about the video lottery:<\/p>\n<p>1. It gives money to the state budget.<br \/>[2. Some folks like to play it for fun.]<\/p>\n<p>How can any principled person like the video lottery?&nbsp; Religious<br \/>\nfolks should hate it because it&#8217;s gambling.&nbsp; Liberals should hate it because it&#8217;s regressive in<br \/>\nits redistribution and because some people have fun with it.&nbsp;<br \/>\nConservatives should hate it because it &#8220;feeds the beast&#8221; and teaches<br \/>\nfiscal irresponsibility, and because some people have fun with it.&nbsp;<br \/>\nLibertarians should hate it because it&#8217;s a state-violence-enforced<br \/>\nmonopoly in what should be a competitive market and therefore people<br \/>\naren&#8217;t free to have fun with it on their own terms.&nbsp; Humanists<br \/>\nshould hate it for its fostering of antisocial behavior and its<br \/>\nreduction of human potential to negative-sum lever-pressing<br \/>\ndomapinergic repetition.<\/p>\n<p><span style=\"font-weight: bold;\">II. What the state doesn&#8217;t tell about the mechanics of video lottery.<br \/>\n<\/span><br \/>\nWhat do I mean when I talk about &#8220;hold&#8221; or &#8220;EV?&#8221;&nbsp; These are<br \/>\nmeasurements of the &#8220;edge&#8221; in a game (hold being the house edge), or,<br \/>\nfrom the player&#8217;s perspective, the Expectation Value, given as portion<br \/>\nof amount wagered to be received back on each trial on average (note<br \/>\nthat EV is typically stated less the initial unit bet, e.g. starting at<br \/>\n0, giving a positive or negative figure, -.05 instead of .95.&nbsp; I<br \/>\nprefer EV given with 1.00 instead of 0 as a starting place, for ease in<br \/>\nthe types of calculations I prefer.&nbsp; If you are using the normal<br \/>\nmethod, simply subtract 1 from the EV numbers I use).<\/p>\n<p>A quick primer on EV: for every $1 you bet, how much will you make<br \/>\nback, on average?&nbsp; With a perfect coin-toss, it&#8217;s $1 in, $1 out &#8212;<br \/>\n50\/50 odds, or a 1.00 EV.&nbsp; If the coin were biased to heads by 1%,<br \/>\nthen your $1 bet on tails would win $0 [or &#8220;lose&#8221;] 50.5% of the time,<br \/>\nand win $2 only 49.5% of the time, giving you a 0.99 EV.&nbsp; EV under<br \/>\n1 is considered &#8220;negative,&#8221; while the rare chance for a positive EV bet<br \/>\nis one in which the EV is greater than 1, also known as &#8220;getting the<br \/>\nbest of it.&#8221;&nbsp; Representative EVs include: roulette (American)<br \/>\n.947, blackjack ~.98, craps (pass line) .985, coin toss, 1.00, a year<br \/>\nin a savings account, ~1.01, a year<br \/>\nin the US equity markets, ~ 1.07.&nbsp; Remember, EV is calculated with<br \/>\neach and every bet, like compound interest, so a .99 EV game done for<br \/>\n100 trials should net you back only 0.37 of your money (though in<br \/>\nreality variance messes up that neat figure).&nbsp; Contrast that<br \/>\nwith 100 years in the stock market at 7% [1.07 EV], which should give<br \/>\nyou 867 times your money back, less taxes.&nbsp; The total amount bet *<br \/>\nthe number of bets is &#8220;action;&#8221; if you bet $5 100 times, you put $500<br \/>\nin action through, even though you may only have ever had $25 to play<br \/>\nwith.&nbsp; The &#8220;hold&#8221; is1-EV, or the percentage of each bet that the<br \/>\nhouse gets back; because it&#8217;s calculated on each trial, the house<br \/>\nexpects to earn the &#8220;hold&#8221; times the &#8220;action.&#8221;&nbsp; Got it?<\/p>\n<p>Poker players, stat jockeys, and others with a sense of EV will appreciate this chart from the Oregon Lottery&#8217;s<br \/>\nannual report FY 2004:<b><br \/><\/b><\/p>\n<blockquote><p><b><br \/>\nSales:<\/b> The Lottery had the highest sales<br \/>\nyears ever in each of the following categories:<br \/>\n  <span style=\"\">Total Lottery Sales:<span style=\"\">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; <\/span>$895.18 million<\/span><br \/>\n  <span style=\"\"><br \/>\nVideo Lottery Sales:<span style=\"\">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; <\/span>$530.97 million<\/span><br \/>\n  <span style=\"\"><br \/>\nTotal Traditional Sales:<span style=\"\">&nbsp; <\/span>&nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; $362.30 million<\/span><br \/>\n  <span style=\"\">Keno Sales:<span style=\"\">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; <\/span><span style=\"\">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<br \/>\n<\/span>$116.48 million<\/span><br \/>\n  <span style=\"\"><br \/>\n  <\/span><span style=\"\">Powerball Sales:<span style=\"\">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<br \/>\n<\/span>$<span style=\"\">&nbsp; <\/span>45.97<br \/>\nmillion<\/span><br \/>\n  <span style=\"\"><br \/>\n  <\/span><span style=\"\">Sports Action Sales:<span style=\"\">&nbsp;&nbsp;&nbsp;&nbsp; <\/span><span style=\"\">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; <\/span>$<span style=\"\">&nbsp; <\/span>10.00 million<\/span>\n<\/p><\/blockquote>\n<p>At the bottom is Sports Action &#8212; a game that is technically beatable<br \/>\n(positive EV) if you are an expert handicapper.&nbsp; Then comes<br \/>\nPowerball, a game that is rarely, but occasionally, positive EV because<br \/>\nit is progressive (if nobody wins, the jackpot can theoretically get<br \/>\nlarge enough to give a positive return).&nbsp; Then comes Keno and<br \/>\n&#8220;traditional&#8221; &#8212; the stuff that most people think of when &#8220;lottery&#8221; is<br \/>\nsaid &#8212; all negative EV games but transparently so.&nbsp; But almost<br \/>\nall the money, in reality, comes from video lottery &#8212; video poker (and<br \/>\nsoon slots) &#8212; about which almost no information can be found.<\/p>\n<p>Note that video poker can be positive EV &#8212; in a competitive market<br \/>\nlike Las Vegas, where 1. operators have an incentive to reduce the hold<br \/>\n(increase the EV) and 2. progressive jackpots exist that, when unwon,<br \/>\ncan boost the EV to positive.<\/p>\n<p>Why, gentle reader, am I spouting off about the corrupt lottery system?<\/p>\n<p>The answer is that I recently visited a local watering-hole with some<br \/>\nfriends, and lined in the cramped ante-bar area were some video lottery<br \/>\nmachines (no boon to those of us smooshed together, waiting in line to<br \/>\nget a drink).&nbsp; My friend A. pointed to the screen of the nearest<br \/>\none, which read<\/p>\n<p>[Machine Configuration] &nbsp;  &nbsp;&nbsp;  [Game Configuration]<br \/>[Reports] &nbsp; &nbsp;&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; &nbsp;&nbsp;<br \/>\n&nbsp;&nbsp; &nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp;&nbsp; [etc]<\/p>\n<p>&#8230;instead of the usual blinky-beepy come-ons.&nbsp; Curious, we<br \/>\npressed the reports button, and found the machine happy to give us<br \/>\nprintouts of the game holds, results, revenues, etc.&nbsp; For your<br \/>\nedification, I will be posting this information shortly.&nbsp; However,<br \/>\nin sum, please be aware of the following:<\/p>\n<p>&#8211; The EV on most all Oregon video lottery games is 0.90, or put another<br \/>\nway, the &#8220;hold&#8221; is 10%.&nbsp; This is a truly outrageous rate that<br \/>\nmakes casino roulette (~5.3%) blackjack (~1-2%) and craps (~1.5%) look<br \/>\nlike great deals.<\/p>\n<p>&#8211; The EV on &#8220;flush fever&#8221; is 0.94, or the hold is 6%.&nbsp; This is<br \/>\nvery bad, but a hell of a lot better than others (like &#8220;jacks or<br \/>\nbetter&#8221;).<\/p>\n<p>&#8211; The &#8220;double up&#8221; game, offered after each win, is even-money (EV 1.00).<\/p>\n<p>(Keep in mind that all games played against a &#8220;house&#8221; with<br \/>\nnear-infinite resources subject the player to &#8220;gambler&#8217;s ruin,&#8221; a<br \/>\nsituation in which the player underperfoms his EV because short-term<br \/>\nvariances wipe out his bankroll.&nbsp; This boost the effective hold<br \/>\nover the theoretical hold, in most cases.)<\/p>\n<p>Why is this significant?&nbsp; After all, everyone knows that the<br \/>\nlottery is a sucker bet, right?&nbsp; Well, perhaps, but there are<br \/>\nsucker bets, and then there are sucker bets.&nbsp; You are wiped out<br \/>\nexponentially faster with such a huge edge as 10%.&nbsp; Consider a<br \/>\nbrisk but realistic pace of 360 video poker hands per hour &#8212; the least<br \/>\nthat may be wagered is 25 cents.&nbsp; The total action per hour is $90<br \/>\n&#8212; at 1% hold, the player loses less than a buck.&nbsp; But with Oregon<br \/>\nvideo lottery, the least he will expect to lose is $9 per hour &#8212; more<br \/>\nthan the state&#8217;s minimum wage.&nbsp; Consider, too, that the average<br \/>\nbet is larger, and that the swings of the game put him at risk of<br \/>\ngambler&#8217;s ruin.<\/p>\n<p>The difference between a sucker bet, and a sucker bet, is huge.&nbsp; <\/p>\n<p><span style=\"font-weight: bold;\">III. My proposed scheme for remedying the situation.<br \/>\n<\/span><br \/>\nHere is what should be done:<\/p>\n<p>[As a general premise: 0. &#8220;Indian&#8221; casinos should be replaced with a<br \/>\nbrand-new way to take land and manpower and make jobs; I call these<br \/>\nspecial programs Indian &#8220;factories.&#8221;&nbsp; The Indian factories can<br \/>\nmake &#8220;goods&#8221; that are exported at a &#8220;profit.&#8221;&nbsp; This will give them<br \/>\njobs and tribal tax revenues.]<\/p>\n<p>[UPDATE: The Wall Street Journal recently covered a development where<br \/>\nit appears others share the above premise &#8212; there is now a trend for<br \/>\nIndian tribes to use reservation land to build legitimate industry,<br \/>\nlike concrete plants.]<\/p>\n<p>1. The state gives up video lottery.<br \/>\n2. To combat grey market video lottery, to prevent folks driving out of<br \/>\nstate to play other states&#8217; terminals, and to ensure proper income<br \/>\nreporting for taxation, the state forms a video lottery audit board.<br \/>\n3. The audit board licenses establishments to have a certain number of<br \/>\nmachines present, and licenses machine owners to run any number of<br \/>\nprivately-owned machines with publicly-audited software.&nbsp; Each<br \/>\nmachine&#8217;s hold percentage may be set and changed by its owner.<br \/>\n4. Each machine must be conspicuously labelled with its hold percentage \/ EV (see II. above) and most recent audit.<br \/>\n5. The audit board charges fees sufficient to fill its budget.&nbsp;<br \/>\nOverage is rebated to license-holders, preventing the state from having<br \/>\nan interest in promoting video lottery.<br \/>\n6. Machine-owner licensees contract at arm&#8217;s length, at-will, with<br \/>\nestablishment-licensees as to machine placement.&nbsp; This creates a<br \/>\nhealthy, adversarial competition for the customer&#8217;s dollar between the<br \/>\nbooze and the slot machine.<br \/>\n7. The state makes its money off of income taxes.<\/p>\n<p>The ends my plan serves are:<br \/>\n1. Elimination of state dependence upon, promotion of, or interest in, people losing more money at the video lottery.<br \/>\n2. Reduction in the &#8220;hold&#8221; and profitability of video machines by market forces, thereby:<br \/>\n3. Reducing incentives for &#8220;Indian&#8221; casinos by taking pricing power away from them on video poker-type games.<br \/>\n4. Reducing incentives for poorly managed bars by lowering the amount of the received subsidy from the video lottery.<br \/>\n5. Maximizing&nbsp; happiness by promoting more play per unit wager for<br \/>\nlovers of video lottery and eliminating video lottery from some bars<br \/>\nfor whom the lowered margins do not justify keeping the games.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>This posting has three parts: I. Why video lottery is a bad thing for the state to run &nbsp;&nbsp;&nbsp; in which I describe philosophical and practical problems with the status quo. II. What the state doesn&#8217;t tell about the mechanics of video lottery &nbsp;&nbsp;&nbsp; in which I describe the key statistical metrics of how deleterious [&hellip;]<\/p>\n","protected":false},"author":1180,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-6","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/archive.blogs.harvard.edu\/rlucastemp\/wp-json\/wp\/v2\/posts\/6","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/archive.blogs.harvard.edu\/rlucastemp\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/archive.blogs.harvard.edu\/rlucastemp\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/archive.blogs.harvard.edu\/rlucastemp\/wp-json\/wp\/v2\/users\/1180"}],"replies":[{"embeddable":true,"href":"https:\/\/archive.blogs.harvard.edu\/rlucastemp\/wp-json\/wp\/v2\/comments?post=6"}],"version-history":[{"count":0,"href":"https:\/\/archive.blogs.harvard.edu\/rlucastemp\/wp-json\/wp\/v2\/posts\/6\/revisions"}],"wp:attachment":[{"href":"https:\/\/archive.blogs.harvard.edu\/rlucastemp\/wp-json\/wp\/v2\/media?parent=6"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/archive.blogs.harvard.edu\/rlucastemp\/wp-json\/wp\/v2\/categories?post=6"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/archive.blogs.harvard.edu\/rlucastemp\/wp-json\/wp\/v2\/tags?post=6"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}