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Happiness itself is affected by living standards and amenities, among other less variable things. With the average happiness being affected by the weight of the different tiers of the pops - i.e. a ruler pop's happiness has a bigger effect on the planetary happiness than worker happiness.
Faction approval is highly influential on happiness, too.
Edit: honestly, it seems like the game just nerfs the whole concept of slavery - which I think is actually kind of a cool thing to do - punish the player for being evil lol.
Edit2: Ok I'm checking and some of them have low amenities. What's weird is I've built the same amount of entertainment as I did on conquered worlds in previous playthroughs, so I guess now my question is what's causing this?
Ah. There's the info I was looking for.
100% approval = 30% higher world stability from the base 50%. The penalties from low approval are worse than benefits of high approval. So don't let approval get too low otherwise your worlds get really inefficient on resource production.
As others have said political power can be complicated. As you could have a slave with 0% happiness in a world with 9 other pops with 100%. If all had 100% political this would result in world having 90% approval total. But because there is often bonuses or modifiers that reduce political power of a slave with 0% the impact would be smaller.
For example lets say the slave has a -75% political modifier. This means the pop would only get .25 as much say so the world approval would probably be closer to 95%- 97.5%. This is similar to the rich getting extra votes over their peasants for example in feudalistic systems of rule despite unhappy pops. Also note many government forms give modifiers like 700-900% political power to rulers.
Governments with slavery the politically repressed are like a powder keg ready to go off explode. IF STABILITY gets low enough the revolts are much worse with slaves present. Bad events without slaves happen at 25% a market that uses dollar as method of slaving. While actual slavery in the sense of it, empires with, bad events start at 40% world stability.
As playing with slaver don't worry too much about this unless your world is getting bombed devastated or your amenities are negative.
Ruler political power is the main reason bringing a pop of your own species to a revolting world can solve the stability issue. Since stability is based on the worlds approval rating to degree.
Thanks. I'm realizing I have a lot of worlds like this. So you basically need to use resettle if you're playing as a slaver empire, it seems like? Force your own pops off of their happy worlds and onto the conquered ones? I never used resettle when I was playing egalitarian, so it didn't occur to me to try this. But also, it looks like my species HAS migrated into the ruler (and to some degree specialist) classes on worlds with high %habitability (tropical, continental, ocean) for them. It's the other ones (tundra, arid, etc.) where those slots are empty. Will they still provide the approval bump if they're on a world where they... like... can't breathe or whatever?