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E_T is offline E_T
Emperor
Orlando, Florida
Mar 2001
time: 00:18
  Old Post 24-12-2002 20:21
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so the formula for Nopt will be:

Nopt=Rounddown (Gf * Diff * (1+ (0.25 * Ni) * OPT)

Where:
Opt = number of Optimal Cities in the Editor
Diff = Difficulty due to level of play
Gf - 1.10 if Dem or Rep, 1.00 all others
Ni = number of corruption Improvements & WLKD (waste only) & if Commercial (1.29f & PWT only). i.e. with 1.29f & Commercial and a courthouse Ni would be 1+1=2

Example:
Emporor level: Diff = 0.8; Opt = 32; non-commercial Civ, Democratic Gov, and a courthouse in the city; the MOCP would be 28

Nopt = rounddown (1.10 * 0.8 * 1.25 * 32) = 28

Right?

E_T

alexman is offline alexman
Emperor
Hunt Valley, MD
Jan 1970
time: 00:18
  Old Post 24-12-2002 20:29 Visit alexman's homepage!
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Close, but here's what I think:

Nopt = Rounddown(Diff * (1+ (0.25 * Ni) + Gf) * OPT)

Where:
Opt = number of Optimal Cities in the Editor
Diff = Difficulty due to level of play
Gf - 0.10 if Dem or Rep, 0.0 all others
Ni = number of corruption Improvements & WLKD (waste only) & if Commercial (1.29f & PWT only). i.e. with 1.29f & Commercial and a courthouse Ni would be 1+1=2

Example:
Emperor level: Diff = 0.8; Opt = 32; non-commercial Civ, Democratic Gov, and a courthouse in the city; the MOCP would be 34

Nopt = rounddown (0.8 * 1.35 * 32) = 34

E_T is offline E_T
Emperor
Orlando, Florida
Mar 2001
time: 00:18
  Old Post 24-12-2002 22:13
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Thanks, I've added that to my spread sheet.

E_T

alexman is offline alexman
Emperor
Hunt Valley, MD
Jan 1970
time: 00:18
  Old Post 31-12-2002 05:39 Visit alexman's homepage!
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While investigating Communism for the AU mod, I discovered two corrections to the formula:

1) Connection to the capital reduces distance corruption, (not total corruption) by 15%.

2) The FP in Communism increases the OCN by 25%, not 100%. (The 100% increase was quoted by someone from Firaxis, and I previously just took it for granted without having verified it myself).

I updated the initial post and the calculator.

Theseus is offline Theseus

Emperor
The warmonger formerly known as rpodos. Gathering Storm! Apolyton Spirit!!
Apr 2002
time: 00:18
  Old Post 31-12-2002 06:24
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Is #1 just for the Commies?

Or do I remember wrong... you're saying that capitol connection was previously believe to reduce total corruption (which is what I sort of remembered), and that in fact it's just for distance?

DaveMcW is offline DaveMcW
Prince

Aug 2002
time: 00:18
  Old Post 31-12-2002 06:29
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quote:
Originally posted by alexman
2) The FP in Communism increases the OCN by 25%, not 100%. (The 100% increase was quoted by someone from Firaxis, and I previously just took it for granted without having verified it myself).


Whoa! That would explain why communist corruption is so bad.

alexman is offline alexman
Emperor
Hunt Valley, MD
Jan 1970
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  Old Post 31-12-2002 07:24 Visit alexman's homepage!
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quote:
Originally posted by Theseus
Is #1 just for the Commies?


It's for everyone, including Commies. Not a big deal. OTOH the FP commie deal is big.

SuperSlinky is offline SuperSlinky
Chieftain

Dec 2002
time: 05:18
  Old Post 31-12-2002 14:28
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Sorry if this has been discussed extensively already (I regret that I only have one life to give to reading these forums), but what are ye clever corruption gurus' opinions on modding the game to reduce the (IMO) excessive emphasis on corruption in Civ III?

Of course, one obvious way is to increase the OCN to the maximum, but this has a few consequences including:

1) making it impossible to build the FP

2) reducing the effect of the commercial trait.

The first one doesn't bother me too much, because I consider the FP to be a strange idea, or at least it is strangely named (why not call it 'colonial government' or something similar?). The AI is also notorious for botching FP placement so badly it is almost useless. The second is more serious, but I suppose we could compensate them by giving them a third free starting tech or something.

Another question I have is where exactly does the handy corruption slider fit into all of this? I assume that we would just multiply the total distance and city# corruption results by whatever percentage we choose. I understand that this can still result in 95% corruption because the total corrupion can be well over 100%. Alexman, have you considered incorporating this into the corruption calculator?

So if I were to set the optimal # of cities to 999 and set the corruption slider to 70%, would there be any unintended consequences? So in a worst corruption scenario, according to the calculator, if I was in the late game trying to conquer the world under monarchy, on a large map, and I capture a city that is as far away as possible from my palace (65 x 65 squares), I would have a corruption rate of 95%. Rush building a courthouse would have a discernable effect, bringing it down to ~85%. Rushing a second building would bring it down to ~45%, actually making the city useful and productive. This seems reasonable to me, bearing in mind that I want to chop some serious wood as far as corruption. Any comments?

alexman is offline alexman
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Hunt Valley, MD
Jan 1970
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  Old Post 01-01-2003 12:20 Visit alexman's homepage!
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quote:
Originally posted by SuperSlinky
So if I were to set the optimal # of cities to 999 and set the corruption slider to 70%, would there be any unintended consequences?

Well, it depends what you mean by "unintended".
If it is intended to make the AI want to grab every bit of available land, to make the Commercial trait useless, to eliminate any corruption difference between Monarchy and Republic, to remove the FP from the game, to greatly reduce the importance of WLTKD, courthouses, and police stations, to speed up the timeline from the extra income, and to increase tedium from managing huge empires, then I guess these changes would be fine.

But if you ask me, corruption in the game is even more fine as it is.

BTW, no plans for incorporating the corruption slider in the calculator because its effect is very simple: just multiply the total corruption by that percentage (before the 95% cap).

SuperSlinky is offline SuperSlinky
Chieftain

Dec 2002
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  Old Post 02-01-2003 06:48
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OK, that's how I thought the corruption slider worked. And you may be right that eliminating # of city corruption may be too extreme and I think I will just set the corruption slider to 50% and increase the optimal # of cities, but not to a huge number. What I have done after looking at the stock numbers in the editor is to normalize the optimal number of cities to about the same number of cites per square as a small map. IOW, a small map has 360 squares and an optimal number of cites of 12, so I just divided each map area by 300 to get a new optimal number of cities. This gives optimal city numbers of 12, 20, 32, 56, and 84. I then increased the tech rate for all of the map sizes that I increased the optimal # of cities for and that progression now goes: 160, 240, 300, 400, 500. This should address most the concerns you expressed in your reply.

Nor Me is offline Nor Me
Prince

Oct 2002
time: 05:18
  Old Post 31-01-2003 07:08
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I've done some tests and found a few slight discrepancies with your formula. In most cases these are insignificant but until you've quantified an insignificant effect, you do not know that it will remain so. For Communism, the differences are bigger.

I've not tested this in Republic or Despotism but in Monarchy and Democracy building the FP adds 10% to the OCN.

Courthouses,Police Stations, WLHD and the commercial trait have their OCN increase rounded i.e. the OCN modified by difficulty level divided by 4 is rounded down to an integer. Note that this is the only such rounding.

In Communism:

1) There is a free 20% increase to the OCN like the 10% increase in Republic and Democracy

2) The FP increases the OCN by 20%.

3) The effects of Courthouses, Police Stations and the Commercial trait are multiplied by 2/5. So if the OCN modified by difficulty level is divisible by 4, they increase it by 10%. (Come to think of it, I forgot to test WLHD.)

4) If the number of cities is odd, round it down to the previous even number.(Is there such a word a predecessive? There should be.)

5) If number of cities is very high something like than the OCN-modified-by-difficulty-level squared or six times it, the increase in corruption for each extra city is doubled like if Ncity>Nopt in a non-communist goverment. (This at least doesn't occur in practice.)


Multiple FPs do give multiple bonuses.

I think that's it. All done with PTW v1.14f.

Last edited by Nor Me on 31-01-2003 at 07:29

alexman is offline alexman
Emperor
Hunt Valley, MD
Jan 1970
time: 00:18
  Old Post 31-01-2003 20:45 Visit alexman's homepage!
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Good work, Nor Me!
Thank you.
It seems that we are finally close to an exact formula.
I am very impressed at your exact numbers.

quote:
Originally posted by Nor Me
building the FP adds 10% to the OCN.

Are you sure about this? Were you adding the FP to a city which was farther away from the capital than the city you were investigating? If so, that's a good find.

quote:

Courthouses,Police Stations, WLHD and the commercial trait have their OCN increase rounded i.e. the OCN modified by difficulty level divided by 4 is rounded down to an integer. Note that this is the only such rounding.

Agreed, I saw the same thing.

quote:

In Communism:

1) There is a free 20% increase to the OCN like the 10% increase in Republic and Democracy

Good to know. Was this in addition to the 80% reduction in number-of-cities corruption compared to the non-communist formula?

quote:

2) The FP increases the OCN by 20%.

Actually, I found something similar, but decided that an increase similar to courthouses was more probable. 20% it is then!

quote:

3) The effects of Courthouses, Police Stations and the Commercial trait are multiplied by 2/5. So if the OCN modified by difficulty level is divisible by 4, they increase it by 10%. (Come to think of it, I forgot to test WLHD.)

How about the modification to flat corruption in communism? This is still the same as it is for distance corruption in other covernments, right?

quote:

4) If the number of cities is odd, round it down to the previous even number.

Don't even get me started on this...

quote:

5) If number of cities is very high something like than the OCN-modified-by-difficulty-level squared or six times it, the increase in corruption for each extra city is doubled like if Ncity>Nopt in a non-communist goverment. (This at least doesn't occur in practice.)

If you say so!

I'll update the calculator with your contributions. Thanks again, Nor me.

Nor Me is offline Nor Me
Prince

Oct 2002
time: 05:18
  Old Post 02-02-2003 23:37
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quote:
Originally posted by alexman Are you sure about this? Were you adding the FP to a city which was farther away from the capital than the city you were investigating? If so, that's a good find.

Actually, I tried this with the Palace and the FP in the same city. I know that some aspects of civ appear to have been put there just to be difficult but I hope that this really is general.

quote:
Originally posted by alexman Good to know. Was this in addition to the 80% reduction in number-of-cities corruption compared to the non-communist formula?

Which 80% reduction? I was just using the 0.1 multiple. With this 1 FP gives a 20% bonus, 2 FPs give 40% and so no sixths and sevenths are needed.
quote:
Originally posted by alexman How about the modification to flat corruption in communism? This is still the same as it is for distance corruption in other covernments, right?

Yes. But Commercial in particular is weakened from your formula (although this makes sense). If you want unneccesarily precise numbers try putting 0.282 instead of 0.3 in the formula for for distance corruption in Communism. For 1 city (Ncity is rounded down to 0.), this gave me results accurate to 1 corruption.

alexman is offline alexman
Emperor
Hunt Valley, MD
Jan 1970
time: 00:18
  Old Post 03-02-2003 02:27 Visit alexman's homepage!
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quote:
Originally posted by Nor Me

Actually, I tried this with the Palace and the FP in the same city. I know that some aspects of civ appear to have been put there just to be difficult but I hope that this really is general.

Another possibility is that the FP city does not count against the city's rank, not that it adds 10% to the OCN. At least that's what I thought when I first did my tests. I did not test this extensively though, and your theory seems more likely.

quote:

Which 80% reduction? I was just using the 0.1 multiple.

Yes, we're talking about the same thing. The 0.1 multiple for communism compared to the 0.5 multiple for other governments is a 80% reduction.

Anyway, I updated the initial post and the calculator to incorporate your findings. Especially the FP effects could prove useful in finding a way to balance communism. Thanks again.

UnityScoutChopper is offline UnityScoutChopper
Warlord
Brno, Czech Republic
Oct 2000
time: 06:18
  Old Post 29-12-2003 23:07
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*bump*

It looks like we may all be stuck with one core in Conquests, so we will need to squeeze everything from it we can get.

I'm not sure if it's worth it to update the thread yet -- it seems like FP resets distance corruption to zero around itself while not affecting rank corruption (which can easily itself exceed 100% even in the FP city itself, thus theoretically leading to the strange outcomes we've been seeing), but I think we're still in the wait-and-see stage.

I'm starting to get the feeling that palace jumps are still a good idea -- you can only have one core, and you want that core to be as far from the shore as possible, so that there can be as many cities as possible whose distance corruption is low enough to keep their total corruption under about 120%... right?

I'm kind of curious if "top tier" players will try to keep under the OCN with the new FP behavior, or on the contrary ICS and milk specialists to no end figuring it's hopeless to even try to fight corruption, or something inbetween.

With the FP bug in Vanilla/PTW, "Ncity" (from the first-post formula) was very low for a wide area around the FP if your city density was high enough around the FP and low enough around the Palace... if I understand correctly. Thus rank corruption -- the real killer for the cores of big empires, again, if I understand correctly -- remained low in a wide area around the FP. Not to mention the use of RCP around the palace to reduce ranks.

Now we're just stuck with one set of RCP-unenhanced ranks.

Incidentally... anybody who can tell me what the OCN is for a commercial civ on a huge map, in a Republic, and having the FP, and which rank numbers bring a given city past 33, 66, and 99 percent "rank-alone" corruption on Conquests wins a cookie from me... I'm too lazy to look it up myself. :-)

USC

William 2000 is offline William 2000
Settler

Jul 2004
time: 05:18
  Old Post 06-07-2004 12:06
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Hallo,

Does anyone know if there is a way to change the constants, like for example the government factor?

Aqualung71 is offline Aqualung71
Emperor
Lord Desolator of the Desolation Row, C3CDG
Oct 2002
time: 12:18
  Old Post 06-07-2004 23:10
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No.

But if you're playing C3C there is a corruption slider in the editor which you can use to vary the overall level of corruption.

Last edited by Aqualung71 on 07-07-2004 at 05:32

Kolyvi is offline Kolyvi
Settler

Oct 2004
time: 05:18
  Old Post 04-10-2004 06:21
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This might seem like an elmentary question, but Im not sure I see the answer in your equations.. Does building a courthouse in the capitol reduce corruption in other cities by taking over some of the management of the capitol? Otherwise it hardly seems worthwhile. Thanks

Solomwi is offline Solomwi

King
Don King of the Apolyton HLA Movement
Dec 2002
time: 23:18
  Old Post 04-10-2004 07:47
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No, a courthouse is pretty useless in the capital. The formulae are calculated for each city individually, so the fact that you could find nothing about a capital's courthouse is for a reason.

Theseus is offline Theseus

Emperor
The warmonger formerly known as rpodos. Gathering Storm! Apolyton Spirit!!
Apr 2002
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  Old Post 05-10-2004 04:42
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The exception being when under a goverment with communal corruption.

* Theseus the Communist

Solomwi is offline Solomwi

King
Don King of the Apolyton HLA Movement
Dec 2002
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  Old Post 05-10-2004 10:02
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Point, you dirty pinko Red.

Theseus is offline Theseus

Emperor
The warmonger formerly known as rpodos. Gathering Storm! Apolyton Spirit!!
Apr 2002
time: 00:18
  Old Post 05-10-2004 17:26
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You forgot "poprushing Stalinist b*stard"!!

Solomwi is offline Solomwi

King
Don King of the Apolyton HLA Movement
Dec 2002
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  Old Post 05-10-2004 22:34
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Oh yeeeeahhhh, that too. Comrade Mao and I are very distraught over your human rights record, Comarade Theseus.

Dauphin is offline Dauphin
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Caught in a tuna net
Jan 1970
time: 05:18
  Old Post 09-10-2004 15:56
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Anyone have a link to the latest corruption calculation formulae (C3C to v1.22)? I know alex has done them somewhere....

Dauphin is offline Dauphin
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Caught in a tuna net
Jan 1970
time: 05:18
  Old Post 09-10-2004 15:59
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Scrub that, search worked for once. w00t!

MrWhereItsAt is offline MrWhereItsAt
Emperor
New Year's Resolution: 2005 is the year of Where It's At - come get some.
Nov 2001
time: 17:18
  Old Post 09-10-2004 17:23
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Really? Care to post a link to that, Dauphin? Or at least tell us exactly what you searched for.

Gracias.

Dauphin is offline Dauphin
Emperor
Caught in a tuna net
Jan 1970
time: 05:18
  Old Post 09-10-2004 17:27
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http://apolyton.net/forums/search.p...rder=descending

http://apolyton.net/forums/showthre...ion+calculation



It was last edited in May, but from what I can tell corruption hasn't changed since then.

MrWhereItsAt is offline MrWhereItsAt
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New Year's Resolution: 2005 is the year of Where It's At - come get some.
Nov 2001
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  Old Post 09-10-2004 17:32
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Cool! Much thankage!

* MrWhereItsAt adds it to his list of strat threads

MrWhereItsAt is offline MrWhereItsAt
Emperor
New Year's Resolution: 2005 is the year of Where It's At - come get some.
Nov 2001
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  Old Post 09-10-2004 17:36
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Well I'll be.... it's in the Must read thread list in the Strat forum anyway...

Solomwi is offline Solomwi

King
Don King of the Apolyton HLA Movement
Dec 2002
time: 23:18
  Old Post 09-10-2004 20:50
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Dauphin, WIA, note the spreadsheet attached to that thread here. I think most, if not all, the wrinkles are ironed out of the formulae in it, and have used it to pretty good effect in my last few games.

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