The best study I know of that addresses rationality in pro sports is Moneyball, by Michael Lewis. It tells the story of how Billy Beane followed the approaches recommended by people who studied the voluminous statistics on Baseball and pointed to non-standard evaluations of what talents and strategies made a difference in getting to the post-season. It's relevant for two reasons.
1) It talks about the psychology of players and coaches who found reasons to stick with the tried-and-true, even when non-standard approaches had some evidence in their favor.
2) it talks about the process of re-analyzing the statistics to figure out what aspects of the game matter. Part of this is deciding what the goal is, and part is figuring out what helps you reach the goal. In the case of baseball, Beane agreed with the those who argued that getting to the post-season cost-effectively was the goal. That means figuring out how to win more games over a season, which is more straightforward than figuring out how to win individual games. Cost-effectiveness translates to recruiting players whose value is higher than what other teams are willing to pay. Many unconventional styles of play turned out to be valuable, which led to a team that looked bizarre by accepted standards, but who won consistently but unspectacularly.
edited to use proper LW linking
Someone deserves a large hattip for this, but I'm having trouble remembering who; my records don't seem to show any email or OB comment which told me of this 12-page essay, "Epistemic Viciousness in the Martial Arts" by Gillian Russell. Maybe Anna Salamon?
It all generalizes amazingly. To summarize some of the key observations for how epistemic viciousness arises:
One thing that I remembered being in this essay, but, on a second reading, wasn't actually there, was the degeneration of martial arts after the decline of real fights—by which I mean, fights where people were really trying to hurt each other and someone occasionally got killed.
In those days, you had some idea of who the real masters were, and which school could defeat others.
And then things got all civilized. And so things went downhill to the point that we have videos on Youtube of supposed Nth-dan black belts being pounded into the ground by someone with real fighting experience.
I had one case of this bookmarked somewhere (but now I can't find the bookmark) that was really sad; it was a master of a school who was convinced he could use ki techniques. His students would actually fall over when he used ki attacks, a strange and remarkable and frightening case of self-hypnosis or something... and the master goes up against a skeptic and of course gets pounded completely into the floor. Feel free to comment this link if you know where it is.
Truly is it said that "how to not lose" is more broadly applicable information than "how to win". Every single one of these risk factors transfers straight over to any attempt to start a "rationality dojo". I put to you the question: What can be done about it?