I find the concept of luck vs skill in games to be fascinating, because the common intuitions are just so wrong. The common intuition is that some games involve more luck, and some games involve more skill. On the extreme end of luck, we have the lottery; on the extreme end of skill, we have chess. The orthodox view was best expressed by a Vox article/video, which included the following image:

The Vox image also shows several sports, and the position of each sport is based on the statistical analysis of Michael Mauboussin. The details of analysis aren’t explicitly described, but it’s basically analyzing the national tournaments for each sport, and estimating how much of the variance in outcome is explained by luck or by skill.
Mauboussin did not analyze chess. Vox added chess in themselves, pulling a claim out of their ass. Without doing any analysis, I can guarantee that if you applied the same statistical analysis to chess, you would not find that chess was 100% skill. The analysis will only show that a game is pure skill if the same people consistently win all their games. I quickly checked the US Chess Championship winners, and while some names show up repeatedly, it is not 100% consistent, and therefore would not be deemed a pure skill game by this analysis.
So what gives? Is the statistical analysis bogus, or is the claim that chess is 100% skill bogus? Trick question. Both of them are bogus.


