I really like SC2, but I find it difficult to extract strategy-critical details from the manual. The worst problem so far is the equation for morale (p. 35), and it is difficult to make effective plans without knowing how morale is determined. I hope someone knowledgeable (ideally, the game designer) can clarify this. Here's the problem:
The equation contains 3 variables: old morale (I'll call it 'M'; range is generally 0-100), unit strength ('Str', range 1-10), and unit supply ('Sply', range 0-10). Here's the equation, as I understand it:
new morale = 0.75*M + (Str-0.75*M) * (0.1*Sply) * (0.01*M).
The first term is fine: in the absence of supply, morale decays exponentially, losing a quarter of its value for every turn out of supply. But the second term is impossible. The reason is that Str and M are of different orders of magnitude (Str ~ 0.1M); thus this second term will almost ALWAYS be negative and Sply > 0 would actually cause morale to drop FASTER than Sply = 0. Obviously, that does not happen. One solution would be to multiply Str by 10 (or divide M by 10). That removes the overt absurdity, but the equation remains pretty damn silly. This is because--as far as I can tell--10*Str can still be less than 0.75*M under reasonable conditions, and under those conditions, supply would still act to ACCELERATE morale loss, because (10*Str - 0.75) < 0.
I can't figure this out. Please advise.