Velasti, you do understand that a player who takes cohesive values has to get more virtues than other players excluding cohesive values - before they are receiving any benefit yet?
This is intuitive and simple - yet when math is presented using this assumption you call it blatantly incorrect?
It is incorrect because it is a poor assumption, and it ignores the limited resource of time or turns.
As Maddjinn said, the conclusion is flawed because the model is flawed.
Also as MadDjinn says,
The focus seems to be entirely on 'how many' not 'what are you getting and when'.
Now let's be very clear about what the advantage of Eudaimonia actually means
+20 or more: +10% science and culture
On turn 194 of the MadDjinn KP stream, he selects Eudaimonia. His positive health goes from +10 to +47.
There is no benefit for having a surplus of health above +20. He doesn't have Creative Class, and it will be many turns before his unhealth increases by 27 points.
The focus from the model is on an absolute advantage, not a comparative advantage.
If the only benefit of cohesive values is "get more virtues,"
The only benefit from cohesive values is NOT get more virtues, it is get virtues sooner.
Let's compare two virtue paths.
You'll notice that CV is not selected. Because Synergy Tier1a
allows me to get a free virtue.
Let's say I want to beat you to a wonder.
I'll beat you to Scalable Infrastructure. And that might mean I get the virtue at a
time that allows me to contribute it to production.
It's not about absolute advantage. It's about comparative advantage.
I'm confused about something else. Why does your analysis of CV focus so much on finishing trees? Tier-3 bonuses aren't very significant given how many policies they require and how late in the game they will come.
I have a different definition of finishing than you do.
Finishing means you've selected all of the virtues that you think will be of use, and then you move on. It's not about completing the trees (In prosperity, the settler virtue would not be as useful late game as it would early-midgame, neither would the free-worker). It's about finishing the tree.
I'm not saying that the trees would be finished linearly.
Also intuition is not a good metric to use. You need to understand the law of comparative advantage to understand my argument.
The pure and simple truth is
the truth is rarely pure, and never simple.