<?xml version="1.0" encoding="UTF-8"?>
<rss version="2.0"
	xmlns:content="http://purl.org/rss/1.0/modules/content/"
	xmlns:wfw="http://wellformedweb.org/CommentAPI/"
	xmlns:dc="http://purl.org/dc/elements/1.1/"
	xmlns:atom="http://www.w3.org/2005/Atom"
	xmlns:sy="http://purl.org/rss/1.0/modules/syndication/"
	xmlns:slash="http://purl.org/rss/1.0/modules/slash/"
	>

<channel>
	<title>Smart Football &#187; game theory</title>
	<atom:link href="http://smartfootball.com/tag/game-theory/feed" rel="self" type="application/rss+xml" />
	<link>http://smartfootball.com</link>
	<description>Analysis and strategy by Chris.</description>
	<lastBuildDate>Fri, 16 Jul 2010 11:32:31 +0000</lastBuildDate>
	<language>en</language>
	<sy:updatePeriod>hourly</sy:updatePeriod>
	<sy:updateFrequency>1</sy:updateFrequency>
	<generator>http://wordpress.org/?v=3.0</generator>
		<item>
		<title>Smart Notes 1/18/2010</title>
		<link>http://smartfootball.com/notes/smart-notes-1182010</link>
		<comments>http://smartfootball.com/notes/smart-notes-1182010#comments</comments>
		<pubDate>Mon, 18 Jan 2010 16:40:21 +0000</pubDate>
		<dc:creator>Chris</dc:creator>
				<category><![CDATA[notes]]></category>
		<category><![CDATA[blog buds]]></category>
		<category><![CDATA[defense]]></category>
		<category><![CDATA[game theory]]></category>

		<guid isPermaLink="false">http://smartfootball.com/?p=798</guid>
		<description><![CDATA[1 Is it possible for a defense to be &#8220;good against the run&#8221; or &#8220;good against the pass,&#8221; or is it merely good, mediocre, or bad? Chase Stuart, in two excellent posts heavy on the game theory (available here and here), shows that, at the very minimum, it&#8217;s difficult to say anything meaningful about a [...]]]></description>
			<content:encoded><![CDATA[<p><strong><span class="capital">1</span> Is it possible for a defense to be &#8220;good against the run&#8221; or &#8220;good against the pass,&#8221;</strong> or is it merely good, mediocre, or bad? Chase Stuart, in two excellent posts heavy on <a href="http://smartfootball.com/tag/game-theory">the game theory</a> (available <a href="http://www.pro-football-reference.com/blog/?p=4533">here</a> and <a href="http://www.pro-football-reference.com/blog/?p=4563">here</a>), shows that, at the very minimum, it&#8217;s difficult to say anything meaningful about a defense other than to comment on its general effectiveness; the two phases are too inextricably intertwined. For fans and commentators I think this is correct, though from a gameplanning perspective it remains possible to identify which defenders are most dangerous and what is most difficult to accomplish, not to mention whether the defense is tilting to the pass or run &#8212; i.e. extra defensive backs or guys in coverage, or extra run defenders.</p>
<p><strong>2. Survivor bias on the gridiron. </strong><a href="http://freakonomics.blogs.nytimes.com/2009/09/17/survivor-bias-on-the-gridiron/">From the Freakonomics blog.</a></p>
<p><strong>3. Tim Tebow&#8217;s loping release.</strong> During the broadcast of Florida&#8217;s bowl game, Brian Billick showed exactly what <em>is</em> wrong with Tebow&#8217;s release: It&#8217;s long, he brings the ball down too low (this motion generates no additional power or accuracy), and it exposes the ball both to a fumble and to a defender who might break on the ball. See it here (h/t <a href="http://rivals.yahoo.com/ncaa/football/blog/dr_saturday/post/Video-Brian-Billick-offers-substantive-critique?urn=ncaaf,211889">Doc Sat</a>):</p>
<p><object width="425" height="344"><param name="movie" value="http://www.youtube.com/v/Q4cZXO734p4&#038;color1=0xb1b1b1&#038;color2=0xcfcfcf&#038;hl=en_US&#038;feature=player_embedded&#038;fs=1"></param><param name="allowFullScreen" value="true"></param><param name="allowScriptAccess" value="always"></param><embed src="http://www.youtube.com/v/Q4cZXO734p4&#038;color1=0xb1b1b1&#038;color2=0xcfcfcf&#038;hl=en_US&#038;feature=player_embedded&#038;fs=1" type="application/x-shockwave-flash" allowfullscreen="true" allowScriptAccess="always" width="425" height="344"></embed></object></p>
<p>The word I had gotten was that Scott Loeffler, Florida&#8217;s quarterback coach, had made significant progress with Tim on this but that come gametime, well, a player&#8217;s gotta play how he knows how. And Tebow had earned the right to play his way. Yet it is troubling to the lack of progress, and it will hurt him in the draft. But what if it was worse, than a lack of progress &#8212; what if Tebow actually regressed on this point? Check out <a href="http://www.quarterbackacademy.com/coach_cast.html">this video which charts Tebow&#8217;s release over time</a>, and you be the judge.</p>
<p><strong>4. &#8220;Football Island&#8221;:</strong><br />
<span id="more-798"></span><br />
<embed src='http://cnettv.cnet.com/av/video/cbsnews/atlantis2/player-dest.swf' FlashVars='linkUrl=http://www.cbsnews.com/video/watch/?id=6108545n&#038;tag=related;photovideo&#038;releaseURL=http://cnettv.cnet.com/av/video/cbsnews/atlantis2/player-dest.swf&#038;videoId=50082383&#038;partner=news&#038;vert=News&#038;si=254&#038;autoPlayVid=false&#038;name=cbsPlayer&#038;allowScriptAccess=always&#038;wmode=transparent&#038;embedded=y&#038;scale=noscale&#038;rv=n&#038;salign=tl' allowFullScreen='true' width='425' height='324' type='application/x-shockwave-flash' pluginspage='http://www.macromedia.com/go/getflashplayer'></embed><br/></p>
<p><strong>5. Focus on the Tebow.</strong> In other Tebow news, the internets are much abuzz about the possibility of Tebow <a href="http://rivals.yahoo.com/ncaa/football/news?slug=ap-tebow-superbowlad&#038;prov=ap&#038;type=lgns">appearing during the Super Bowl in an anti-abortion ad </a>put on by <a href="http://en.wikipedia.org/wiki/Focus_on_the_Family">Focus on the Family</a>:</p>
<blockquote><p>The former Florida quarterback and his mother will appear in a 30-second commercial during the Super Bowl next month. The Christian group Focus on the Family says the Tebows will share a personal story centering on the theme &#8220;Celebrate Family, Celebrate Life.&#8221;</p>
<p>The group isn&#8217;t releasing details, but the commercial is likely to be an anti-abortion message chronicling Pam Tebow&#8217;s 1987 pregnancy. After getting sick during a mission trip to the Philippines, she ignored a recommendation by doctors to abort her fifth child and gave birth to Tim. . . .</p>
<p>Jim Daly, president and CEO of Focus on the Family, said the commercial comes at a time when &#8220;families need to be inspired.&#8221; . . . &#8220;Now that the ad has been shot, we&#8217;re excited to tell people it&#8217;s coming because the Tebows&#8217; story is such an important one for our culture to hear,&#8221; he said.</p></blockquote>
<p>CBS, which will be broadcasting the Super Bowl, is apparently still deliberating on whether to run the ad. To get it on air Tim may need to appeal directly to a higher power: CBS President <a href="http://en.wikipedia.org/wiki/Leslie_Moonves">Les Moonves</a>.</p>
<p><strong>6. Brian Cook dishes on new Tennessee coach Derek Dooley. </strong> Read it <a href="http://www.sportingnews.com/blog/the_sporting_blog/entry/view/52075/">here</a>. I don&#8217;t have much to add, but one rather silly meme that has gone around is that Dooley got this job simply because &#8220;he paid his dues,&#8221; as if he would have been hired after two seasons at Louisiana Tech if his name had been Derek McMurphy; being Vince Dooley&#8217;s son helps. Now, this doesn&#8217;t mean he won&#8217;t be successful, or isn&#8217;t a good coach, but these big time coaching jobs are akin to winning the lottery, and who you know is always going to be important. If I&#8217;m a Tennessee fan I&#8217;m fine with it, but I would still be slightly bothered knowing the hire couldn&#8217;t totally be chalked up to being based on merit.
<div class="tweetmeme_button" style="float: right; margin-left: 10px;">
			<a href="http://api.tweetmeme.com/share?url=http%3A%2F%2Fsmartfootball.com%2Fnotes%2Fsmart-notes-1182010"><br />
				<img src="http://api.tweetmeme.com/imagebutton.gif?url=http%3A%2F%2Fsmartfootball.com%2Fnotes%2Fsmart-notes-1182010&amp;source=smartfootball&amp;style=normal&amp;service=bit.ly" height="61" width="50" /><br />
			</a>
		</div>
]]></content:encoded>
			<wfw:commentRss>http://smartfootball.com/notes/smart-notes-1182010/feed</wfw:commentRss>
		<slash:comments>21</slash:comments>
		</item>
		<item>
		<title>Spurrier wants balance: Is he asking the right questions? Are his critics?</title>
		<link>http://smartfootball.com/uncategorized/spurrier-wants-balance-is-he-asking-the-right-questions-are-his-critics</link>
		<comments>http://smartfootball.com/uncategorized/spurrier-wants-balance-is-he-asking-the-right-questions-are-his-critics#comments</comments>
		<pubDate>Thu, 10 Sep 2009 14:40:29 +0000</pubDate>
		<dc:creator>Chris</dc:creator>
				<category><![CDATA[Uncategorized]]></category>
		<category><![CDATA[game theory]]></category>
		<category><![CDATA[gameplanning]]></category>
		<category><![CDATA[playcalling]]></category>

		<guid isPermaLink="false">http://smartfootball.com/?p=366</guid>
		<description><![CDATA[Steve Spurrier watched the game film of his offense&#8217;s horrible performance against NC State and concluded: we weren&#8217;t aggressive enough. And people are ridiculing him for it. Steve Spurrier has watched the entire N.C. State game twice and part of it a third time. The South Carolina coach reached two conclusions: The Gamecocks were too [...]]]></description>
			<content:encoded><![CDATA[<p><span class="capital">S</span>teve Spurrier<a href="http://www.thestate.com/gogamecocks/story/931688.html"> watched the game film</a> of his offense&#8217;s horrible performance against NC State and concluded: we weren&#8217;t aggressive enough. And people are ridiculing him for it. </p>
<blockquote><p>Steve Spurrier has watched the entire N.C. State game twice and part of it a third time.</p>
<p>The South Carolina coach reached two conclusions: The Gamecocks were too conservative offensively in their 7-3 win in Raleigh, and such an approach is not going to cut it this weekend at Georgia.</p>
<p>&#8220;We had a pretty conservative game plan. I didn&#8217;t realize how really conservative it was until I watched the game twice now &#8211; almost three times,&#8221; Spurrier said Sunday. &#8220;We wanted to give the running game a chance, so we did do that. But we obviously need to try for some big plays along the way a little bit more probably.&#8221;</p>
<p>USC&#8217;s run-pass ratio in the opener was nearly 2-to-1, with the Gamecocks running 42 times and attempting 22 passes (although some of those rushes were scrambles by or sacks of quarterback Stephen Garcia).</p>
<p>Still, the attack looked much too plain for a coach credited with introducing the SEC to an intricate downfield passing attack in the 1990s.</p>
<p>And while Spurrier is not ready to scrap the Gamecocks&#8217; revamped rushing scheme after one game, he made it clear he wants to see a more balanced attack against Georgia.</p>
<p>&#8220;We certainly can&#8217;t bring that game plan to beat Georgia on offense. I don&#8217;t think we can,&#8221; Spurrier said. &#8220;But we don&#8217;t want to send Stephen back there and get sacked and run around all night either. We&#8217;ve got to get us a balance between runs and passes that we can hit and look like a good offense.&#8221;</p></blockquote>
<p>The buzz has been that Spurrier must be nuts &#8212; hey, he&#8217;s already given up on the run game. But look at the numbers. I&#8217;ve previously <a href="http://smartfootball.blogspot.com/2006/07/runpass-balance-and-little-game-theory.html">talked about</a> a notion of &#8220;balance&#8221; that only looks at the number of runs or passes or the total yards with rushing and passing as being misleading, and that a far better metric is comparing the expected &#8212; or, in lieu of that, average &#8212; yards per attempt of each, though, since passes are riskier than runs, passes should still average more (have a premium). The reason is because the defense will respond to your playcalling; it&#8217;s a <a href="http://smartfootball.com/grab-bag/this-post-is-about-game-planning-and-play-selection">game theory thing</a>.</p>
<p>So let&#8217;s look at the numbers. Overall, the Gamecocks averaged a measly 2.57 yards per rush, and an <em>okay</em> 6.7 yards per attempt, though with an interception. There can be problems at looking at the raw numbers, particularly on third down where the result is binary: convert or fail to convert. So let&#8217;s look at first down, where clearly the optimal strategy is to maximize your expected gain. </p>
<p>The sample is small, but on first down South Carolina ran the ball 16 times and averaged a mere 3.06 yards per carry. They threw it nine times for 78 yards (and no INTs), resulting in a very healthy 8.67 yards per attempt. I can safely say that Spurrier should have called more first down passes. The OBC&#8217;s instincts are right. His playcalling was too conservative, at least on first down, which is the most important down in football because there are more first downs than any other down. </p>
<div class="tweetmeme_button" style="float: right; margin-left: 10px;">
			<a href="http://api.tweetmeme.com/share?url=http%3A%2F%2Fsmartfootball.com%2Funcategorized%2Fspurrier-wants-balance-is-he-asking-the-right-questions-are-his-critics"><br />
				<img src="http://api.tweetmeme.com/imagebutton.gif?url=http%3A%2F%2Fsmartfootball.com%2Funcategorized%2Fspurrier-wants-balance-is-he-asking-the-right-questions-are-his-critics&amp;source=smartfootball&amp;style=normal&amp;service=bit.ly" height="61" width="50" /><br />
			</a>
		</div>
]]></content:encoded>
			<wfw:commentRss>http://smartfootball.com/uncategorized/spurrier-wants-balance-is-he-asking-the-right-questions-are-his-critics/feed</wfw:commentRss>
		<slash:comments>4</slash:comments>
		</item>
		<item>
		<title>This post is about game planning and play-selection</title>
		<link>http://smartfootball.com/grab-bag/this-post-is-about-game-planning-and-play-selection</link>
		<comments>http://smartfootball.com/grab-bag/this-post-is-about-game-planning-and-play-selection#comments</comments>
		<pubDate>Wed, 02 Sep 2009 00:13:11 +0000</pubDate>
		<dc:creator>Chris</dc:creator>
				<category><![CDATA[grab bag]]></category>
		<category><![CDATA[decision theory]]></category>
		<category><![CDATA[game theory]]></category>
		<category><![CDATA[gameplanning]]></category>
		<category><![CDATA[play calling]]></category>

		<guid isPermaLink="false">http://smartfootball.com/?p=317</guid>
		<description><![CDATA[Suppose first that you wish to cross a river that is spanned by three bridges. (Assume that swimming, wading or boating across are impossible.) The first bridge is known to be safe and free of obstacles; if you try to cross there, you will succeed. The second bridge lies beneath a cliff from which large [...]]]></description>
			<content:encoded><![CDATA[<blockquote><p><span class="capital">S</span>uppose first that you wish to cross a river that is spanned by three bridges. (Assume that swimming, wading or boating across are impossible.) The first bridge is known to be safe and free of obstacles; if you try to cross there, you will succeed. The second bridge lies beneath a cliff from which large rocks sometimes fall. The third is inhabited by deadly cobras. Now suppose you wish to rank-order the three bridges with respect to their preferability as crossing-points. Your task here is quite straightforward. The first bridge is obviously best, since it is safest. To rank-order the other two bridges, you require information about their relative levels of danger. If you can study the frequency of rock-falls and the movements of the cobras for awhile, you might be able to calculate that the probability of your being crushed by a rock at the second bridge is 10% and of being struck by a cobra at the third bridge is 20%. Your reasoning here is strictly parametric because neither the rocks nor the cobras are trying to influence your actions, by, for example, concealing their typical patterns of behaviour because they know you are studying them. It is quite obvious what you should do here: cross at the safe bridge. . . .</p>
<p>[Now s]uppose that you are a fugitive of some sort, and waiting on the other side of the river with a gun is your pursuer. She will catch and shoot you, let us suppose, only if she waits at the bridge you try to cross; otherwise, you will escape. As you reason through your choice of bridge, it occurs to you that she is over there trying to anticipate your reasoning. It will seem that, surely, choosing the safe bridge straight away would be a mistake, since that is just where she will expect you, and your chances of death rise to certainty. So perhaps you should risk the rocks, since these odds are much better. But wait … if you can reach this conclusion, your pursuer, who is just as rational and well-informed as you are, can anticipate that you will reach it, and will be waiting for you if you evade the rocks. So perhaps you must take your chances with the cobras; that is what she must least expect.  But, then, no … if she expects that you will expect that she will least expect this, then she will most expect it. This dilemma, you realize with dread, is general: you must do what your pursuer least expects; but whatever you most expect her to least expect is automatically what she will most expect. You appear to be trapped in indecision. All that might console you a bit here is that, on the other side of the river, your pursuer is trapped in exactly the same quandary, unable to decide which bridge to wait at because as soon as she imagines committing to one, she will notice that if she can find a best reason to pick a bridge, you can anticipate that same reason and then avoid her.</p></blockquote>
<p>The above passage is from <a href="http://plato.stanford.edu/entries/game-theory/">here</a>. Can you explain in what way this informs play-calling and gameplanning? Here&#8217;s an (incomplete) <a href="http://smartfootball.blogspot.com/2007/01/rock-paper-scissors-edgar-allan-poe-and.html">hint</a>.
<div class="tweetmeme_button" style="float: right; margin-left: 10px;">
			<a href="http://api.tweetmeme.com/share?url=http%3A%2F%2Fsmartfootball.com%2Fgrab-bag%2Fthis-post-is-about-game-planning-and-play-selection"><br />
				<img src="http://api.tweetmeme.com/imagebutton.gif?url=http%3A%2F%2Fsmartfootball.com%2Fgrab-bag%2Fthis-post-is-about-game-planning-and-play-selection&amp;source=smartfootball&amp;style=normal&amp;service=bit.ly" height="61" width="50" /><br />
			</a>
		</div>
]]></content:encoded>
			<wfw:commentRss>http://smartfootball.com/grab-bag/this-post-is-about-game-planning-and-play-selection/feed</wfw:commentRss>
		<slash:comments>13</slash:comments>
		</item>
	</channel>
</rss>
