How does the WW from police station reduction work?
War weariness is reduced by 25 percentage points. That may be 25 percentage points per relevant war, but i have no confirmation on that.
The study of war weariness goes on. I will thank Bamspeedy and DaveMcW (any other?) for their research, it really helped.
General:
We measure war weariness with wwp (war weariness point). Each civ have one wwp number against each of the other civs.
The different levels of war weariness:
Code:
Level wwp
-1: - 0 wh (war happiness)
0: 0 - 30 normal, no effect
1: 31 - 60
2: 61 - 90
3: 91 - 120
4: 121 -
Effect of ww in war:
All government:
Level -1: 25% happy people
Republic:
Level 1: 25% unhappy people...
In a republic police stations do increase your resilience. But is that worth to pay 2 gtp? If you have few turns with war weariness, then it may not be worth it.
If a city is not worth having a courthouse (for example if the courthouse offers only one commerce) is there any chance that it may be favorable to build a police station (without the courthouse)?
The chance is quite low. The chance is even low if a courthouse is worth it, but a police station is not when at peace.
By the way, do you build courthouses in cities that will only gain 1 shield and 1 commerce early in the industrial age?
Possibly. You invest 80 shields, pay 1 gtp, get 2 beakers(lib+uni) and 2 shields(factory+powerplant). 2 shields equal 1 gold via wealth. On balance that is 2 beakers per 80 shields or a Return on Investment of 2.5% per turn. That is not above average, but not below average either. That is more or less exactly the average.
Republic. Assuming intercontinental wars with durations is a realistic scenario.
If you need to assume longer periods of war waeriness, then it is likely to be worth it. If you want to be on the "safe" side, then do build them. At size 16 you save 4 base commerce on the luxury slider, that will get you 8 beakers for 160 shields and 2 gtp. Again assuming 1 gold = 1 beaker = 1 shield that is a RoI of (8-2)/160=3.75% per turn of war waeriness. So you need 27 turns of war weariness to get back your investment. But do you want that many turns of war weariness?
In my opinion you should not count on war weariness to make police stations worth it. They need to be (almost) worth it during peace. That may be true for all but the innermost ~5 cities. Giving those 5 innermost cities also a police station for resilience can make some sense as it is reasonable cheap and does give peace of mind. Riots in the capital? No, thanks!