EDIT: i made some mistakes ^^ → the table on top is not good, there is a new one in the comments
I wondered, how much the discount by building smth with the architect is … so i made a little excel … now you dont have to do it yourself ^^
(keep in mind: i made it in the middle of the night and i’m not great at maths - so no guarantee! )
The higher gatherrate for coins is not included (because it only affects 2 buildings) … so the discount on them is actually a little lower. Also the basilica gives additional buildtime decrease, which i didnt include here either. The architect upgrade card is an Age III shipment (!), so by that time you should be at 0,8 w/s gatherrate. Gatherrate of villagers = gatherrate of architects.
Some standard buildings are coloured for orientation. The little flags indicate the ‘bad’ discounts.
architects have some pros and cons, that are hard to meassure:
longer construction time → not good for frontlines/defence
longer construction time → you benefit later from the building (-> 2 less villagers from TC)
can only gather from trees (no big deal^^)
you can start construction before having the necessary resources → press ‘pay foundation’ later
more flexibility (-> different military buildings)/ easier transition to farms etc. you save a lot of wood lategame, when there are no trees left → so architects have way more value, than my excel sheet says
overall archtects are great, but is the homecity card worth it? Idk. What do you think?
ok … here is the update as promised …
I switched to another method, because its easier to understand and more practical ingame.
The table now shows, how much the architect working is worth in wood/second. That way you can see, how much benefit you get out of it (and if you should send the architect chopping wood instead). It also shows, whats better: 1 architect or 2 villagers?
2 villagers constructing need 0,8 of the buildtime 1 villager would need (diminishing returns → not ideal to use multiple villagers)
2 architects constructing need 0,5 of the buildtime 1 architect would need (no diminishing returns → ok/good to build with mutiple architects)