Crissa, I really do want you to get this through your head: it doesn't matter how you arrange the stats. It doesn't matter what you do to them, just the fact that there is an odd prime factor means that it isn't balanced.
Regardless of what you do! I know that you don't like set theory or probability analysis or calculus, so you're just going to have to trust me here. No amount of throwing darts at the wall is going to make 6 stats balanced.
Here's the really simple abstract case:
You have two competing ways to do some thing that is going to be opposed by someone else. Maybe it's "attack them", maybe it's "get through check point", it's not actually important. The important thing is that you have two options to put points into. The options could be "stealth and diplomacy" they could be "psionics and gunsmanship",
whatever. We are going to talk about them as "Red" and "Blue".
So what makes putting points into Red and Blue at the same time a good idea? The answer is that your opponents will resist Red or Blue to a degree that is sufficiently different that you are overall at least as well off having the ability to use the one which is going to be resisted worse than you would be just being better at the one you are good at.
And what makes putting all your points into Red a good deal? The answer is that overall you are going to be better at Red strategy, so if the bonuses you are getting every time you use it balance out the effective penalties you are taking every time you should have used a Blue strategy (which they will by definition unless Blue is inherently superior to Red), you are pulling ahead.
You got that? Putting all your points into Red is
always better than splitting your points between Red and Blue from the standpoint of getting things done. In every system. All the time (even balanced ones like SAME, interestingly enough). And if there are three things or more to distribute points between, this is even more noticeable.
In the case where you have just two options, there will be times when the Red option is better (and thus points spent in Red are better than splitting points), there will be times when the Blue option is better (and thus the points spent into Red are equally worse to spending points in a split fashion as they are better in the previous option), and there will be times in which both options are equally valid - and here spending more points into Red is
better! So the times when the Red option is better cancel with the presumably equal amount of times when the Blue option is better, and every time it doesn't matter counts in favor of focused character. And every instance where a Yellow or White option is best counts as time when it doesn't matter whether Red or Blue is better in this case.
So even in the binary case, focusing is better. In the trinary case, focusing is better. In the pentiary case, focusing is better still. And so on without limit.
And yet, I've said that SAME is balanced. And I believe it. And you know why that is? Because of the case when you are
resisting, rather than choosing a course of action which will be resisted. On the defense, there is the case where someone has only Red (in which case Red defense is better), there is the case where someone has only Blue (in which case, Split Defense is better), and there is the case where it doesn't really matter to them which one they use (in which case, split defense is better).
In a binary system, you can arrange the fact that split defenses is better and focused attacks is better into an overall balanced system by tying attacks and defenses to the same stat. Since attacks and defenses will presumably come in equal numbers (by definition), excelling at one or the other should balance out in the end.
And can you do that with 3 stats (or 6? or 9)? Of course not! In the situation with three defenses, you actually aren't any better off spreading yourself out relative to when things are binary - but focusing your attack
has become a better deal relatively. So tying offense to defense doesn't balance things. And then there's just nothing you can do. Putting more points into the Red option is just
better than wasting some of your points on the Yellow or the Blue.
Period. Nothing you can say or do will change this basic fact. It doesn't matter whether you make melee and magic use the same number of stats - the fact is that it will never
ever be a good idea in a non-binary system to invest in Might
and Magic. It just can't be done.
I'm not just being defeatist, this is mathematical fact. It's as if you were trying to find a prime number between 5 and 7 or make a 2 dimensional map that can't be colored with only four colors. It doesn't matter how much it seems like there ought to be a way to do it - there isn't.
Splitting your options is
better if you don't choose which option you use. Focusing your options is
better if you do choose which option to employ. In a binary system it is possible to make the superiorities of these two strategies equal and opposite, thereby cancelling. With a non-2 prime factor this is no longer possible. Therefore focusing or splitting will be better. Period.
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RC wrote:Possibly, though Im' curious how a 4+ stat system would work with a circular pattern.
About the same way as SAME, except that the defenses would be split. So you'd have a game of psionic spies. Like Psiops. Now in this game, people who are observent have an easy time hitting people with guns and have an easy time seeing through illusions. Meanwhile, people with good intuition are good at projecting illusions that are natural, and good at dodging bullets. Further, people with good Conviction are good at dominating peoples' minds and remaining concious while filled with bullet holes. Nonchalant people are harder to overwhelm with mental attacks and shoot people in more deadly places.
It's the COIN system (Conviction, Observation, Intuition, Nonchalance). It's one in which if you are gunman, you have an easier time killing other gunmen and if you are a psyker you have an easier time killing other psykers. You can do that sort of thing if you want.
-Username17