Turn 0 -- 1200 AD
First things first: Civil Service. We won't be trading it because everyone else has it. Mansa is the only one with Engineering, though, so when that comes in I'll shop it for Feudalism and Compass.
Situation Assessment
Cities:
We have 13 cities, with Kyoto still in revolt for 2 more turns. Most are building buildings. All cities (except for Kyoto of course) are happy and healthy. MM'd Antium a bit (was working a lame tile for some reason) so it'd stop starving. I agree with GreyFox's idea for National Epic in Rome and switch the archer there to National Epic (will only take 5 turns).
Finances:
We're at -62 gpt with science at 80%. Will keep it there to get Engineering before Mansa trades it around (hopefully). Will start Forbidden Palace in Kyoto once it's out of revolt, that should help too.
Civics:
Hrm, we're in Police State. Since we're not at War, I'm going to suggest revolting to Representation because it's cheaper and gives us a happiness boost (not needed yet). When we get Mercantilism (more on that in a second), it'll give us extra research power. I'm not revolting until after Engineering is in, though. Everything else is good.
Nottingham is taking a cultural beating from Hattie. I whip the Forge so we can build something Culturelike there.
Diplomacy:
In a not-so-big-a-surprise, our Buddhist Cohorts are Pleased with us and the Hindu Americans are Cautious. FDR is the only one with any penalties (although I suspect declaring on him will give us some with GW in the future) because of close borders and declaring on a friend (Vicky?). Neither GW or FDR have Buddhism so they can't convert. No one is annoyed with anyone. No one has enough gold or an extra resource to trade us. Techwise FDR is up only Feudalism, GW is up Feudalism+Compass, Hattie is up Music and Philosophy as well as those two, and Mansa has added Engineering. Unfortunately, FDR is the only one without Literature and Drama.
Tech:
Engineering due in 2. I would like to get to Banking for the extra cash possibility. We need Feudalism and Guilds to get there. I hope to trade Engineering for Feudalism and start Guilds. I'm thinking Guilds > Banking > Gunpowder > Chemistry.
Religion:
We're Buddhist. Only 4 cities are
sans Buddhism. My goal is to get them Buddhist, hopefully some will spread naturally.
Demographics:
Our GNP is weak--dead last. Hopefully moving towards more advanced economic techs will help. Our approval rate is low, but who cares? Everywhere else, we're #1!
Military:
We're looking good here. I'm going to try to make 2 stacks, one in Edo and one in Antium.
Goals:
Buddhism everywhere. Head down the tech road.
Ok, let's play. Hit ENTER.
Turn 1 -- 1210 AD
FDR adopts Hereditary Rule and Bureaucracy and Serfdom.
Nottingham: Forge > Sistine Chapel (maybe--need to see if I can chop)
Turn 2 -- 1220 AD
Engineering is in. Start Feudalism for the moment.
Cumae: Catapult > Mace
York: Theatre > Forge
Kyoto starts Courthouse
Islam has been founded in Memphis!
Washington adopts Hereditary Rule
I switch Nottingham to Hagia Sophia; will take the same amount of turns, but more likely to get it.
DAMMIT. Mansa traded Engineering to everybody
I go with Paper instead of Feudalism. This does two things: it gives us something (hopefully) to trade, and it allows us to pursue the Education > Liberalism techs if we so choose. Science has to be dropped to 60%.
Turn 3 -- 1230 AD
Heroic Epic completes in Antium. SAVE ANTIUM FOR WEST POINT! Start a Buddhist Missionary and MM a little so it can start growing.
Satsuma: Theatre > Forge
I trade dies to GW for 4gpt
I renegotiate Silver with Hattie to get 5gpt for it (+2gpt)
I renegotiate Cows with Mansa to get 4gpt for it (+1gpt)
Turn 4 -- 1240 AD
Antium: Buddhist Missionary > Buddhist Missionary
Neapolis: Buddhist Missionary > Library
London: Forge > Theatre
Edo: Barracks > Theatre
Turn 5 -- 1250 AD
Rome: National Epic > Buddhist Monastery
Cumae: Mace > Mace
I spread Buddhism to Kyoto.
I spread Buddhism to Edo.
Hrm, Mansa has a Settler/Skirmisher/Skirmisher set walking through our lands. I think he's going to build a city that will quickly become ours (one way or the other).
Turn 6 -- 1260 AD
Paper comes in, start Feudalism (again, just for the moment)
Antium: Buddhist Missionary > Mace
Tokyo: Barracks > Forge
Islam has spread in Nara.
Ok, I trade Literature and Paper to FDR for Feudalism. Trade Paper to Mansa for Compass, 10 gold (his treasury), plus World Map (we can now see all of Hattie's and Mansa's land). Will save Paper to trade to GW next turn for Optics (I hope).
Start Guilds, due in 10 at 50% (our treasury is pretty low right now).
Turn 7 -- 1270 AD
Rome: Buddhist Monastery > Mace
London: Theatre > Confucian Monastery
The Burgeoning Roman Empire now has 5 million souls!
Actually, we can see all of GW's and FDR's lands too, due to the map. With the lands so well known, I bring the exploring Praets home.
GW won't trade Optics or Music to us for Paper. Quite annoying.
Turn 8 -- 1280 AD
Antium: Buddhist Missionary > Hindu Monastery
Cumae: Mace > Harbor
Hinduism has spread in Rome.
Buddhism has spread in Nara (by us)
Turn 9 -- 1290 AD
Hattie wants to trade World Maps. I decline.
Edo: Theatre > Library
Hattie completes the Sistine Chapel.
Buddhism has spread in Osaka (by us). We're now 100% Buddhist.
Turn 10 -- 1300 AD
Rome: Mace > Pike
Antium: Hindu Monastery > Castle
London: Confucian Monastery > Pike
Osaka: Courthouse > Theatre
Nottingham can no longer work on Sistine Chapel. The one turn spent is converted into 72 gold!

Science back up to 60%, Guilds due in 4.
Ok, I built some stuff. We're all Buddhists now. The only thing I screwed up was not replacing the Praets with Archers/Longbow. Oh yeah, and I uh forgot to revolt to Representation
Here's the Save:
View attachment 122707
Umm...not sure who's up. Maquis, maybe?