Thursday, July 16, 2009
Does winning a fight in hockey boost your team’s scoring?
Ah, the age-old question in hockey. Gabriel asks it, and looks for the answer using the indispensable http://www.HockeyFights.com . Can’t wait to see the results… And here it is:
We see a very small benefit to winning the fight, which occurs primarily in the next ten minutes:
Relative Improvement After 10 Minutes
In Goal Differential Next 10 Minutes Through End of Regulation
All Games 0.0762 0.0134
Down 1 or 2 Goals 0.0710 0.0042
So, winning a fight adds about .07 goals. The league leader in fights is close to 20 every year. Presuming he can get a clear win on 10 of them (the rest are draws with a couple of losses), that means he adds about 0.7 goals for the season, which would mean a bit over 0.1 wins. Presuming a win is worth about “one.million.dollars” (Dr Evil), that means you should pay your prized fighter an extra 100K over the standard fighter.
Great stuff!


And since winning or losing fights is a zero sum game, you would have to dock your poor fighters some pay as well. This is also like base stealing. Anyone who is not an above average fighter should be prohibited from fighting. If that were the case, the above-average fighters would have no one to fight. So if winning a fight were indeed advantageous, and all teams operated optimally with respect to that knowledge, there would be no fights in hockey!
Tango, is it true that the most prolific fighters are that good (winning 10 out of 20 and only losing a few)?