koufax kicks (continued) orie glen, ph.d. |
| A third option The question that just nags nags nags is why the heck
doesnt Koufax kick the ball into the center of the net? If Gehrig is jumping
left or right, that means that the center is open. Lets expand the game and find out whats up.
Well assume that if Gehrig plays C (for center) and Koufax goes with either L or R,
Koufax scores. But, if Koufax and Gehrig both play C, Koufax loses every time. After all,
Gehrig is just standing there, like Bill Buckner, only he stops the ball. And, since Koufax would have three options instead of two, the chances that Gehrig could match would be reduced. So, why dont we see kicks in the center of the net? Two answers: ego and ego.
First, ego. Lets say Koufax has a quality of Q=1/2 and both players play like game theory says they should. Then, one out of five times, Koufax kicks it into the center of the net. And, one out of five times, Gehrig just stands in the center. Since their actions are independent (Gehrig doesnt
know what Koufax will do and vice versa), the probability of Koufax kicking into the
center and Gehrig standing there waiting for it equals 1 in 25 (thats 1/5 x 1/5).
This means that four percent of the time, Koufax kicks the ball to a stationary Gehrig. Hey, this is actually sort of exciting. Wait, imagine this.
A limping Kirk Gibson softly left-foots a roller toward the gaping middle of the net,
having stolen Joe Gibbs sign. Lawrence Taylor reverses midflight, just nicking the ball,
which nonetheless skips, bounces, creeps over the line. |
Orie Glen is the pen name of Scott Page, associate professor of Economics at the University of Iowa. In addition to maintaining an oral history of University of Michigan football (AC was way better than Desmond!), Scott runs a summer workshop in computational economics at the Santa Fe Institute and is part of a MacArthur Foundation working group on income inequality. He has done analyses of the economic impact of the Rose Bowl and the World Cup. |
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