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The Cat-and-Mouse Game of the Modern Penalty Kick

theringer.com

31–40 of 48 posts

Re: The Cat-and-Mouse Game of the Modern Penalty Kick

#32

The book Soccernomics [0], has a whole chapter dedicated to both the psychology and game theory of penalty kicks. Long story short: - Let's simplify to the options being: you kick either left or right - The goalie has to pick which side BEFORE you kick b/c by the time you kick, it's too late for the goalie to react - Your basic strategies are: always left, always right, alternate left/right or try to be as random as…

Couldn't you just memorise a few random decisions before each match? You don't need to generate it in the moment.

Re: The Cat-and-Mouse Game of the Modern Penalty Kick

#35
I wish this article had more embedded examples. I'm not really a big soccer fan, but this sort of intersection of athletics and game theory are always interesting to see.

As a tip, if you are watching a YouTube video, you can use "." and "," to go backwards and forwards by one frame when paused. It lets you see to what degree the goalkeeper is anticipating vs. reacting.

The other issue with the article is that it focuses on successful attempts -- it would be very interesting to see what the unsuccessful attempts look like as well to get a feel for how close to a randomized decision matrix the process is.

Re: The Cat-and-Mouse Game of the Modern Penalty Kick

#36

The book Soccernomics [0], has a whole chapter dedicated to both the psychology and game theory of penalty kicks. Long story short: - Let's simplify to the options being: you kick either left or right - The goalie has to pick which side BEFORE you kick b/c by the time you kick, it's too late for the goalie to react - Your basic strategies are: always left, always right, alternate left/right or try to be as random as…

In my university baby foot (table football) circles, matches usually came down to a series of deciding or guessing on near gap vs. far gap.

Shannon's Mind Reading Machine used three bits worth of address space to model humans for a very similar game: https://news.ycombinator.com/item?id=23475069

(At less elite levels, paradiddles are a great low-budget pseudorandom. At more elite levels, using outside signals for an entropy pool has been attested.)

Re: The Cat-and-Mouse Game of the Modern Penalty Kick

#37

The book Soccernomics [0], has a whole chapter dedicated to both the psychology and game theory of penalty kicks. Long story short: - Let's simplify to the options being: you kick either left or right - The goalie has to pick which side BEFORE you kick b/c by the time you kick, it's too late for the goalie to react - Your basic strategies are: always left, always right, alternate left/right or try to be as random as…

I think this is a simplification that in some ways is ignoring the main point of this article -- the Paneka kick described in the article is a kick up the middle; relying on exactly that sort of decision process by the goalkeeper.

And the new-style kick being touted is also a meta game -- trying to telegraph a still-likely-to-succeed-on-power-alone kick and changing it up for a less powerful less reliable kick to the opposite side.

If the telegraphed kick were less of a threat (that is, if the anticipated speed of the kick were slower) then the goaltender would not have to commit as much. The subtleties here are interesting, though the article is missing a discussion of failed attempts at the Paneka and the Tielemans-style kick.

Re: The Cat-and-Mouse Game of the Modern Penalty Kick

#38

The book Soccernomics [0], has a whole chapter dedicated to both the psychology and game theory of penalty kicks. Long story short: - Let's simplify to the options being: you kick either left or right - The goalie has to pick which side BEFORE you kick b/c by the time you kick, it's too late for the goalie to react - Your basic strategies are: always left, always right, alternate left/right or try to be as random as…

I think this is a simplification that in some ways is ignoring the main point of this article -- the Paneka kick described in the article is a kick up the middle; relying on exactly that sort of decision process by the goalkeeper. And the new-style kick being touted is also a meta game -- trying to telegraph a still-likely-to-succeed-on-power-alone kick and changing it up for a less powerful less reliable kick to the…

This reminds me of elite poker players purposely creating certain play tendencies over years (reducing returns) and waiting to change them for specific high rewarding opportunities.
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