There are no “free hammers” because you are paying dearly for them. The rush just gets you turns you would otherwise spent building.
I am just asking about best beaker return on gold. It seems to me that it boils down to these two:
- Save up gold so you can rush science buildings ASAP. Leftover gold on RAs are okay, but skip RAs if they compromise your ability to rush buy science buildings as soon as they get unlocked.
- Spend gold aggressively on RAs. Leftover gold on science buildings is good too, but don’t rush buy unless you are already working RAs with all your allies.
List conventional wisdom is clearly in the (1) camp. All the best players too! I am asking for math behind this, because it’s not obvious. Sure it
feels right. Other strategies are
easily justified by the numbers. Why not this one?
I'm not arguing the fact that RA may be better raw BPT for gold (as said in my original post).
What I'm saying is that it's not the only thing that matters.
And there indeed are free hammers (well freed if you prefer). The one you don't use for building a science building. RA dont do that. While doing RA you still have to use hammer for the building. I really don't understand why you think you can dismiss it.
Look it should be very simple to understand the following:
Strategy 1:
Use gold for RA, build a university.
Strategy 2:
Use gold for university, build market.
For the sake of the argument, let's say both university and market take the same amount of turn (10 for example). We will also suppose that after these 10 turns, both strategy have the same bpt out of the university. And finally the same amount of gold was used in both strategy.
Value of strategy 1 after 10 turn = Value(RA) + Value(University)
Value of strategy 2 after 10 turn = Value(10 turns of fast university) + Value(University) + Value(Market)
What you did in your math post (which I feel overestimate the number of turns a RA gives) is to just say Value(RA) > Value(10 turns of fast university). And I say it's probably true at least on Deity.
But this doesn't imply:
Value(Strategy 1) > Value(Strategy 2)
The comparison isn't that simple and would depend on how much you value the "freed" hammers that went into an additional building compared to the difference between value(RA) and value(fast university).
There is also another thing not talked about here. Cutting a couple turns for researching a renaissance tech (rushing universities) is often more important to not miss opening Rationalism than to cut a couple turns 30 turns later.
Let's make something else clear too. Please play BnW and see how hard RA were nerfed. RAs were my bread and butter in GK. It was just clearly the best option and rushing the PT was important. The AI were also much more opening Rationalism giving them better bpt for the equation. Nowadays, I only do a couple in early eras, still unsure whether or not it was worth it when it gives 1 or 2 turns of science at turn 150.