Martin has been fascinated reading Soccer Economics which contains a chapter analyzing the stats of PKs. Here's a
good exchange on the subject with a Spanish soccer fan/player and econ professor. No doubt there's a grad course(perhaps degree) offered somewhere on the subject.
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Despite (or because) I don't know enough about game theory or soccer, I'll pose these observations:
1) It seems like all the economist is saying is randomize your shot placement. That seems fairly common sensical and simple, but hardly enough for a paper or a degree.
2) In admittedly a very little sample size, it seems that with the world cup the most successful strategy has been to vary the speed, not necessarily the placement. Those who have run up, then slowed, have cooly and gently kicked the ball to the opposite side. This virtually eliminates the chance of hitting it off the post or missing the goal.
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