View Single Post
Old January 21, 2020, 22:51   #4
DavidMedley
Knight
 
Join Date: Oct 2019
Posts: 726
DavidMedley is on a distinguished road
I did read the post you linked to before I wrote my little manifesto. I also wrote a couple pages on this very topic (differential vs ratio) a month or two ago, related to a game system I was working on. I didn't want to get too off-topic in my first post, but some items that were of interest:
  • Differential systems are good for easy math
  • Differential systems are inherently exponential
  • When you treat a differential system as linear you can get expectation-breaking results

As an illustration, I used very low and high strength characters from D&D (GURPS is even more out of whack in this case). A STR 1 character can carry 15 lbs while a STR 9 character can carry 135 - 9x as much. If they're rolling and adding their STR bonus, the stronger gets +4. A STR 20 giant can carry 300 lbs while a giant can carry 420 lbs - 1.4x as much. If they're rolling and adding their STR bonus, it's the same +4 differential.

The two things are out of whack because one is treating STR scores as linear and one, perhaps without really knowing it, is treating STR scores as exponential.
DavidMedley is offline   Reply With Quote