Another update, taking the possibility of Saladin as our opponent into account:
Mansa:
Us: +1 Peace, +2 OB, +4 FT, +1 Shared Tech, +5 Civic = +13
Cyrus: +2 Hidden, +1 Peace, +2 OB, +2 BR, ~+3 Civic = +10
Cathy: Below 0
Saladin: -3 Hidden, +1 Peace, +2 OB, +5 Religion, +2 BR = +7
Potential problem: Only if Cyrus doesn't go FR, but we have to keep a lookout so they don't start trading techs.
Asoka:
Us: +1 Peace, +2 OB, +2 BR, +4 FT, +1 Help = +10
Cyrus: +4 Hidden, +1 Peace, +2 OB = +7
Cathy: +1 Hidden, +1 Peace, +2 OB = +4
Saladin: +1 Hidden, +1 Peace, +2 OB = +4
Potential problem: If Cyrus goes for US.
Hatty:
Us: +1 Peace, +4 FT, +2 OB, +3 Civic = +10
Cyrus: +2 Hidden, +1 Peace, +2 OB, +1 BR = +6
Cathy: Below 0, declared on twice...
Saladin: -3 Hidden, +1 Peace, +2 OB, +2 BR, +6 Religion, +3 Civics = +11
Potential problem: If Cyrus stays in HR, though it should work anyway, she caps at +3. Worse if he doesn't go FR though, but that's very unlikely. Also if Saladin is the opponent, unless we can get Hatty to FR.
Lizzy:
Us: +1 Peace, +2 OB, +4 FT, +5 Civic, +1 BR, -1 RH = +12
Cyrus: +3 Hidden, +1 Peace, +2 OB, +2 BR, ~+3 Civic = +11(!)
Cathy: -2 Hidden, not a problem.
Saladin: -2 Hidden, not a problem.
Potential problem: If Cyrus gets FR too early, this could be nasty. We could plan to go for +2 BR though, we must keep track. At +2 BR we should win the day.
Cathy:
Us: +1 Peace, +2 OB, +4 FT, +4 Civic = +11
Cyrus: -1 Hidden, not a problem
Cathy: Doh.
Saladin: +5 Hidden, +1 Peace, +2 OB, +2 BR, +4 Civic, -4 Heathens = +10
Potential problem: If Saladin is the opponent and she goes for FR.
Frederick:
Us: +1 Peace, +2 OB, +2 BR, +4 FT, +1 ST, -1 RH = +9
Cyrus: +2 Hidden, +1 Peace, +1 OB = +4
Cathy: -3 Hidden, not a problem
Saladin: -2 Hidden, not a problem
Potential problem: No.
Kublai:
Us: -1 Base, +1 Peace, +2 OB, +4 Civic, +4 FT, +1 Help, -1 RT, -1 War Ally = +9
Cyrus: -3 Base, not a problem.
Cathy: +2 Hidden, +1 Peace, ~+5 Civic, +1 OB, -1 Heathens = +8
Saladin: +3 Hidden, +1 Peace, +2 OB, +5 Civic, -1 Heathens = +10
Potential problem: He might vote for Cathy if she goes FR, if they sign OB too early, or trade resources. As of 540 AD, they don't know each other though, and the longer it stays that way the better. Already knows Saladin, and would vote for him unless he ditches HR.
HC:
Us: -1 Base, +1 Peace, +2 OB, +4 FT, +4 Civic = +10
Cyrus: -1 Base, not a problem.
Cathy: +4 Hidden, +1 Peace, ~+5 Civic, +1 OB, -3 Heathens = +8
Saladin: +4 Hidden, +1 Peace, +2 OB, +5 Civic, -3 Heathens = +9
Potential problem: If Cathy goes FR, she likely gets his vote, and there's not much we can do about it. By 540 AD (55 turns left) they don't yet know each other. The +1 OB above assumes that they don't meet in the next 5 turns. Has already met Saladin, but Saladin is highly unlikely to go FR, and might ditch HR.
Louis:
Us: -1 Base, +1 Peace, +4 FT, +2 OB, +2 BR, +4 Civic = +12
Cyrus: -5 hidden, not a problem
Cathy: +2 Hidden, +1 Peace, +4 Civic, +2 OB, +2 BR, -3 Heathens, -1 Declare on Friend = +7
Saladin: +1 Hidden, +1 Peace, +2 OB, +4 Civic, +5 Religion = +13
Potential problem: Cathy declared on Hatty, which means Louis is now going to be much easier to please. He won't need the +2 BR even if Cathy goes FR, so we could send the Copper off somewhere else. Saladin is a worse problem though, we clearly need Saladin out of HR.
Washington:
Us: -1 Base, +1 Peace, +2 OB, +2 BR, +4 FT, +1 ST, -1 CB = +8
Cyrus: +2 Hidden, +1 Peace, +1 OB = +4
Cathy: -3 Hidden, not a problem
Saladin: -3 Hidden, not a problem.
Potential problem: Not really, as long as we get him to vote for us in the first place. Needs a few more techs for that.
Cyrus:
Us: +1 Peace, +2 OB, +4 FT, +1 BR = +8
Cyrus: Doh.
Cathy: 0 Hidden, shouldn't be a problem.
Saladin: 0 Hidden, +1 Peace, +2 OB, +2 BR = +5
Potential problem: Only if he doesn't go FR. If he's not our opponent though, he will need the +1 BR. Take one off Louis most likely.
JC:
Us: -1 Base, +1 Peace, +2 OB, +2 BR, +4 FT, -1 RST = +7
Cyrus: -1 Hidden, not a problem
Cathy: +3 Hidden, +1 Peace, +2 OB, -2 Heathens = +4
Saladin: +3 Hidden, +1 Peace, +2 OB = +6
Potential problem: If we get him to vote for us at all, it shouldn't be a problem, he has nothing to trade to Cathy or Saladin.
Saladin:
Us: -1 Base, +1 Peace, +2 OB, +2 BR, +4 FT, -1 RT, -1 RST = +6
Cyrus: -1 Hidden, not a problem as long as Cyrus goes FR.
Cathy: +5 Hidden, +1 Peace, +2 OB, +2 BR, -3 Heathens, -1 Declared on Friend = +6
Saladin: Doh.
Potential problem: If we get him to vote for us in the first place, we should get that vote. Could be a problem if Cathy goes FR though.
We don't care about the rest.
Summary of potential problems:
If Cyrus is our opponent: Lizzy, if Cyrus gets FR too early.
If Cathy is our opponent: Kublai, HC, Louis, Saladin.
If Saladin is our opponent: Hatty, Cathy(!), Kublai, Louis
Still not taking potential Rank modifiers towards us into account. We also hope some will ask us for help, and that they refrain from asking us to stop trading with their sandbox rivals.