If you're going to use quotation marks (ie. adding randomness "levels the playing field"), please quote something I said, not the opposite...
Sorry, my use of quotation marks was simply to emphasize the phrase "levels the playing field". I probably should have italicized it instead. When I quote what someone is saying in these forums, I almost always use the "QUOTE" and "/QUOTE" meta commands.
In your original post, it seemed to me that your solution to having some bad (meaning instant rewards/penalties for doing nothing or something that requires near zero skill) random elements was to add more bad random elements. It seems that I probably inferred something in your posting that you did not intend or didn't even state.
Sorry, I must have completely missed the point of your post. So, we are actually in agreement?
The extra randomness of events and quests doesn't "level the playing field" (to use your words), it adds a random positive or negative factor to everyone's result. See above where I talked about "wider spread", and below where you talk about "spreading them over the Luckiness axis".
Ok, so we do seem to be in agreement, assuming that your "wider spread" means essentially the same thing as my "spreading them [Teams] over the Luckiness axis".
I'm a firm believer in applying mathematics when doing so appropriately. I believe that my table was helpful in showing how bad randomness can subvert the Team rankings by effectively giving each Team a net random bonus or net random penalty. The best Team may not be able to overcome a series of bad random penalties whose combined expected occurrence is 5% (meaning that 1 team in 20 might really suffer such a net # of penalties), at least to the extent of catching up with a very lucky and almost as skillful Team.
If you agree that my application of mathematics is sound, fine. If you have no opinion on its validity, Ok. If believe that it is invalid, please show me how it is invalid or just explain your reservations concerning its alleged validity.
Even the person who did talk about "balancing the playing field" qualified that point of view...
And what point are you making here? That I should have responded to this person's post instead and taken into consideration their qualification?
If we were playing a large number of SGOTMs then it would all average out in the long run, but we don't have that luxury. So large sources of randomness (events) are not so desirable. Quests are similar, but not as large a source of randomness as you seemed to believe earlier in this thread, inasmuch as the same pool of quests are potentially available to all teams. However, we are both making the same general point...
Sorry, your statement above is where our viewpoints do (in an academic sense) diverge. I don't think it will matter how many times the SGOTMs are played, depending on the signal to noise ratio. The signal is player skill. The noise is bad randomness = randomness that just happens and has no real connection to player control. If signal <= noise (I don't for a second really believe this), we'd be better off not playing with these noisy options at all. I do believe in reducing noise in games as much as possible.
In a practical sense, I do agree with your statement. The best SGOTM Teams will win the most SGOTMs over a large number of SGOTM competitions despite bad randomness, because I don't believe Civ IV Beyond the Sword has enough bad randomness options to overwhelm their skill as players.
In a practical sense, we do appear to be in full agreement.
Sun Tzu Wu
P.S. Still waiting for a Proof of Fermi's Last Theorem, using methods available to him when he was still living. Perhaps his statement that the book's margin was too small for his proof was a bluff or perhaps his unwritten proof contained a flaw after all. I hope some day, a mathematics graduate student takes up this challenge as his dissertation and prevails! It would be nice to see Fermi vindicated in this way.