@axis_roll:
I might react differntly to a battle outcome in which the odds differed from the outcome (I have more units left than I anticipated, or I have less than anticipated).
These type of outcomes are outside the players level of skill.
Anglo-Egypt sudan on G1 is a PERFECT example of this. Most players have a GO-NO GO number for UK1 to counter. To a great exent, the Geman player can not control this number… it’s up to the dice. Here DICE outcome (‘luck’ if you will) will help determine UK’s response to Germanys outcome.
Do you see the point we’re trying to make that you can not seperate the skill of a player from the variability of outcome of battles in the game?
I think you prove my point - that outcome in Anglo-Egypt is 100% luck (since both players, being equal, would have committed the same forces for that attack and defended the same way), and that’s the point at which (perhaps) that one equally skilled player gets the upper hand and keeps building it through the game.
As you say, it is outside your level of skill - it is luck that makes the difference there.
I also agree that you cannot, in one way, separate skill and luck - the importance of each depends on the size of the other factor - I don’t think you can say, in a vacuum, how important luck is. Luck will be a significant factor between two PERFECTLY EQUALLY skilled opponents (I know that’s only theoretical). Between a very good player and a very bad player however, luck is unimportant - one will simply outplay the other, in addition to managing their risks, and the bad player will lose no matter how good their dice are unless they roll nothing higher than a 3 the entire game.
You can also see this when players blame the dice for a loss - what they are saying is “I’m just as good as my opponent, it was just bad luck that made the difference.”
Suppose I play an equally skilled player 1000 times, and we each win 500 games - you’d have to say we are pretty equal. In that case, each game is essentially a coin toss, which as we know is determined by “luck”. Winning that next game will certainly not prove that I am better than my opponent.