I guess I need to read the AU mod thread in depth to see what it is all about. Anyhow, for grins I decided to compare the effect of changing to either Republic or Feudalism at ehre I was in my particular game. Should have done screenshots but oh well. Here's the basic down and dirty.
Costs REP FEUD
SCI -81 -58 Slider set at 50%
ENT 0 0 Slider set at 0%
CORUP -159 -96
MAINT -31 -31
UNITS -82 0
The difference in not having to pay unit costs, combined with decreased war weariness would seem to favor the ability to wage war under a feudal gov. I was surprised to see the degree of Corruption in Rep compared to Feudal.
Sully
Costs REP FEUD
SCI -81 -58 Slider set at 50%
ENT 0 0 Slider set at 0%
CORUP -159 -96
MAINT -31 -31
UNITS -82 0
The difference in not having to pay unit costs, combined with decreased war weariness would seem to favor the ability to wage war under a feudal gov. I was surprised to see the degree of Corruption in Rep compared to Feudal.
Sully

] If your not needing to upgrade units in the near future, you can boost the science rate under Fedualism to 80% and be producing more beakers than Republic at 50%. The Military Advisor will tell you if you could support even more units for free under Fedualism.
. The AI's attitude toward you is harmed if they have one of your workers, though, for some strange reason. It's a temporary effect, though, and small.
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