Both Cathy and Ragnar have construction but no one else has.
4 AIs need to know Construction before either Willem (or Cathy not knowing Vicky) will trade it to us. I also checked the case where Cathy knows Vicky and it's the same.
Now, what I can't guarantee is that 2 AIs "plotting war" won't increase the amount of AIs that need to know the tech up to 5 AIs, but I can say for certain that we will need 4 AIs at a MINIMUM (and probably exactly 4 AIs, but I am not 100% certain) to know Construction before either Willem or Cathy will give it up... while the others won't give it up when 4 AIs know the tech.
I think we should make the trade currency+5 gold for clandar with William (as our chances of trading construction with him in time are 0, but we might be able to trade currencyfor construction with Cathy)
Here is my line of thinking on the subject:
The AIs are getting dangerously close to researching techs that we do not want them to:
1. Machinery
2. Metal Casting for other AIs
3. Feudalism
In addition to tech research, there is the whole "AI City Maintenance Costs preventing the AIs from REXing" factor to consider.
On this map, allowing an AI to get Currency is a HUGE boost that I think would be suicidal to our game. They'll be free to expand like mad-crazy. We have been really, really lucky that no AI has learned Currency yet. I think that we need to hold onto this Monopoly for as long as possible.
It's bad enough that the AIs are exapanding on our way to Astronomy, but if an AI gets Currency, the REXing will explode like there is no tomorrow.
We need to think "bigger picture" in terms of tech trading. Therefore, I do not want to give Currency to any AI no matter what.
Now, we said that Code of Laws was our primary tech-trading tech. Remember that we not only have Code of Laws but also Philosophy as tech-trading chips.
Also, Code of Laws has the same value as Calendar. That means that we'd have to throw in some Gold or another tech if we wanted to make the trade. Here is some thinking along that line:
As time passes, more AIs will learn Calendar or will get it in trade. As time passes, the AIs are far less likely to learn Code of Laws (although it looks like Vicky has it--was that through self-research or did we give it to her?). Thus, over time, the relative value of Calendar will decrease compared to the value of Code of Laws.
So, we can delay getting Calendar in trade until we absolutely need it, at which point we can get a better deal on a "Code of Laws + Gold <-> Calendar" tech-trading deal. Depending upon which AIs get Calendar via research or trading, we might even be able to give "Code of Laws + one other tech <-> Calendar."
Alternatively, since Vicky already knows Code of Laws, we could wait until the last minute and make a "Philosophy <-> Calendar" trade with her. Doing so helps to preserve the Code of Laws relative-Monopoly and would keep us from having to throw in Gold as part of the trade.
I define "the last minute" for learning Calendar as the date that we want to Lightbulb Astronomy. We don't need Calendar before then as we aren't going to try and build its corresponding Wonder, nor do we have any Calendar Resources that can be connected (we gave up on the Silk Resource when we settled Iron City in its current location).
I think we should get the remaining gold we need to stay at 100% research by trading mysticism to Ragnar for 50 gold. I can't see him gettting feudalism in time even if we make this trade.
Well, unfortunately, you'd be wrong. Try playing a game with Shaka, Ragnar, etc. If you keep them from getting Mysticism, they'll stay away from Feudalism for a long, long time. Give them even Mysticism and you'll see them trading-up so fast that you won't believe your eyes.
Another consideration is that you need to be careful to keep only 1 "dumb kid on the block." As soon as there are 2 "dumb kids on the block," then all heck breaks loose, as neither of those players counts as the "lone dumb kid on the block" anymore and AI-AI tech trading now happens between 6 AIs instead of just 5 AIs, at least until a new "dumb kid on the block" is realized after several rounds of AI-AI tech trading.
Isabella is awfully close to tying Ragnar for that honour (of being the "dumbest kid on the block"), which makes the situation very dangerous to give ANY tech to Ragnar.
Pretend that you are watching your favourite action-based cartoon and you see that the heroes are about to get ambushed. You shout "look out, it's a trap!" (well, maybe you might just think it in your head), but they don't listen. Sure enough, they do the equivalent of trading Mysticism to Ragnar and then they get themselves into a really terrible situation. Now, we're not part of a cartoon show here, so we don't really need to set up a plot that puts us in trouble in order for the game to be exciting, do we?
Other than neglecting the bonus for other AI's knowing the tech they are extremely accurate. We might lose/gain 1-2 beakers depending how rounding works with the 1.2 bonus from knowing a pre-requisite, otherwise they are accurate to the beaker, though we could choose to get more/less by altering our future strategy of course.
Construction won't come in trade. That's the assumption that we need to make, since it will be so hard to get.
Thus, I think that we have to give up on the idea of getting Theology before the end of the Golden Age.
However, I'd want to see more accurate Flask numbers if we really needed to make this decision (which I do not think that we need to do since you seemed to require us to get Construction in trade in time for it to work). We didn't just say that "The Pyramids will cost us 750 / 2.25 Hammers," we actually played out a test game to find out how long they would take to build. By the way, "750 / 2.25 Hammers" would have given us an incorrect value, since there were many, many turns where we did not have a multiple of 4 base Hammers in Paris.
Victoria has a wine available for trade, but William still hasn't hooked up any gems.
Can we Net our Crab and get her Wine?
If the answer is "no, she already has Crab" (I seem to remember early screenshots with her having a lot of Seafood Resources to the north of her capital and I think that Crab was one of them), then we'd simply cancel one of the 2 Resource Trading deals with Cathy and see about giving the Crab to Cathy for her Sheep or Cow, then giving the Resource that Vicky wants to Vicky instead.
Actually, when I looked at the saved game the last time, we seem to have combined the Resources into a single trade with Cathy, which makes things a bit more annoying for cancelling trades with her, but since we'll have 3 possible Resources to work with, we'll just have to check which 2 of the 3 she wants and make sure that Vicky will want the other one, and we should be fine.
Whoever has Gold per Turn, if either of them does, can get the Marble for a Resource + Gold per Turn.
Your understanding is correct, and that calculation would be useful, because if 4 AI's need to know construction the chances of us getting it in trade would be fairly low. In those circumstances would it be more realistic to research construction before aesthetics if we could trade for it when only 2 AI's know it?
Yeah, we're going to have to get really lucky (or unlucky, as the case may be) with multiple AIs learning Construction in order to get it in trade. I say "unlucky" since the second-worst tech that AIs can get after Feudalism is Construction, what with Catapults being very messy and with at least 2 Ivory being in AIs' hands.
Aesthetics is also a relatively-tough-to-get-in-trade tech, as we'll need to see 3 AIs get it before Cathy or Willem will give it to us, but Willem is busy on Machinery.
One silver lining on being able to get Aesthetics in trade is that Joao was Friendly towards Isabella the last time that you screenshotted the F4 -> GLANCE screen. It thus might be possible for us to see a trade between those two AIs which helps to spread-around Aesthetics.
I have attached a couple of screenshots. I have to do something else now, but I should be able to post my plan for resolving the Ragnar situation in 1-1.5 hours.
I can't really tell if our Triremes have moved or if our Galley can get into position from the screenshot alone, so I can't really offer any feedback on the issue until I learn more.