I agree that there is not a 1-to-1 relationship, but there is undeniably some correlation. If a game is easy then it is not stressful.
I disagree that there can't be a measure of skill across different games. You can just look at the probability of a top X% player winning against a top Y% player. If an average player has a low probability of winning against a top player, then there is a high degree of skill involved. If an average player has a decent probability of winning against a top player, then there is a high degree of luck involved.
> I disagree that there can't be a measure of skill across different games. You can just look at the probability of a top X% player winning against a top Y% player.
Solitaire.
You can't measure my probability of winning against you. This metric sucks.
In a more general way, while in many cases for perhaps a broad range of people stressfulness will correlate, to some nonlinear degree, with the correlation between their choice of action and their odds of achieving a goal (see what I did there, with the second-degree function and everything), the fact that this very (stress-to-skillness) correlation varies in formula from person to person leads me to believe that it's a symptom of a different variable being more meaningful.
What I'm saying isn't that stress doesn't indicate anything, but rather that it's not a very appropriate yardstick to measure things like fun and player engagement when the correlation between stress and skill-dependence varies so much from person to person.
For me, for example, time pressure and assiduousness-related pressures (remembering to always do X when Y or always do Z every time K) will far eclipse any notion of skill-dependency and impact-on-success as far as how stressful I feel is concerned. Give me a game of Chess, and I'll be rather unstressed, despite the high skill-dependency. Put a timer, and my stress level shoots up exponentially, despite skill-dependency remaining more or less unchanged (since the time limit applies to my opponent as well, and doesn't really change the ratio between my choices and my odds of victory).
I disagree that there can't be a measure of skill across different games. You can just look at the probability of a top X% player winning against a top Y% player. If an average player has a low probability of winning against a top player, then there is a high degree of skill involved. If an average player has a decent probability of winning against a top player, then there is a high degree of luck involved.