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Author Topic: How do formulas work in Imperia Online?  (Read 43533 times)
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« on: September 21, 2007, 12:47:24 PM »

Since people keep asking about how formulas work, I have decided to start this topic to show in detail how everything is calculated so if anyone would want to make him/her self a tool of some kind or just like to calculate stuff would have a place to find the necessary information. I would write everything in simple terms so it is clear for everyone, the actual formulas used would not be very useful for most of the players.

Some of the formulas are really complicated to express but are simple to explain so I will be giving simple examples for them:


This is the mythical Formula 1  *Smiley* :


To decrease the effect of the geometrical progression (doubling prices every level) we have come up with decreasing coefficient with which we can make buildings and technologies more expensive in a more gentle way so towards the high levels things don't get impossibly expensive too quickly.

So here it is the coefficient by which you must multiply the price of the technologies depending on the level:

Formula 1 is a coefficient, which starts at 1,96 and every level is multiplied by 0.98. After that the base price is multiplied by this coeficient (f=1.96   f=f*0.98  price = price*f).

So the coefficient changes the following way:
Level 1 the coefficient is 1.96
Level 2 is 1.92 (1.96*0.98)
Level 3 is 1.88 (1.92*0.98)
Level 4 is 1.84 (1.88*0.98)
.....

Note: For players who have seen the previous explanation: we have changed the explanation, but the formula has always been the same
....

So, if something costs 100 at level 1:
Level 2 would be 100*1.96
Level 3 would be 100*1.96*1.94
Level 4 would be 100*1.96*1.92*1.88

....

Everywhere else where a price increase is in percentages and not Formula 1 it works the following way:

initial price: 100
2nd level would cost 110 (100*1.1)
3rd level would cost 121 (110*1.1)
....

How are the farm limits calculated?

First level is 1500
Second level is 3150 = 1500+1650 = (1500+1500*1.1)
Third level is    4800 = 1500+1650+1815 = (1500+1500*1.1+1650*1.1)

or if it is an excel spreadsheet:

1. 1500
2. 1650 (1500*1.1)
3. 1815 (1650*1.1)

sum line 1 to 3 to find the size of farm 3 and so on

The same way are calculated the mine, lumber mill and stone quarry limits (only there we start at 600 and increase with different percentage)


How does the population grow?

The population has fixed growth of 30 people per hour, plus 1 for every 1000 population, 1 for every Granary. Then everything is multiplied by the terrain bonus and medicine. So if you have 10 000 population, with 11 Granaries 5th level medicine and Plains terrain, you would have:

(30+10+11)*1.25*1.2=76.5 people per hour

However after 100 000 the population growth starts to slow down:

at 100 000 after the calculation of the growth formula we take 10 population out, so you have (30+100+Granaries)*terrain*medicine-10..
at 110 000 we take 24 out (this is 10 + 14)
at 120 000 we take 42 out (this is 10+14+18)
and so on.... every 10 000 above 100 000 adds:
10 at 100k
14 (10+4) at 110k
18 (14+4)
22 (18+4)
26 (22+4)
30 (26+4) at 150k
and so on...

So at 150 000 population we are subtracting from the hourly growth the sum of 10+14+18+22+26+30=120 ... soon the growth will seize... medicine and granaries can push the absolute barrier but inevitably the growth will stop.


These are the formulas I can think of that  people seem to ask most frequently about... if there are any others post a question here in this topic and I will add them.


PS If anyone makes some kind of web based tools and etc. , he/she is welcome to post a link here for them - if we collect more stuff we could separate them in a different topic.



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My Imperia Tools page now has a tool for calculating your enemies melee and fortification levels based on information from the battle report in addition to the distance -> time and military -> point value calculators (now updated to include the blitz realm).  You can also download Polymeron's Economy Calculator 2.4 (excel spreadsheet) there.

But don't miss the time chart section, where you and your allies can update charts that track users online/offline times.  Just finished it and it needs testing!  Where's the horned emoticon when you need it? *g*

Send me messages via the forum if you run into bugs.. this site is my playground and if I'm in the game, it's likely under development.. I'll add things as I need them until the Imperia admins tell me I've crossed the line and then I'll keep the tools to myself.  ;D  (love you guys!)

« Last Edit: January 16, 2008, 18:31:14 PM by Xaoc » Logged

killer3657
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« Reply #1 on: June 22, 2008, 09:08:06 AM »

lol! this is so weird
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Vileu
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« Reply #2 on: June 24, 2008, 16:02:40 PM »

Just done military architecture 11... extra garrizon space is vailable.. but the time for the fortress construction did not change even for a single second... they write the coeficient is 0.30 in V4.. but well... even if the change is slight there should be a noticeable difference as the initial time for constructing lvl 7 fort was 135 hours and 10 minutes with all the architecture research I have done... it is also strange as the architecture bonuses work fine.. is it a bug??
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« Reply #3 on: June 24, 2008, 16:29:25 PM »

Log out, clear the temporary internet files (cache) and log in again...
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« Reply #4 on: June 24, 2008, 17:47:48 PM »

thanks, worked out fine  hooray
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« Reply #5 on: August 23, 2008, 17:51:35 PM »

Hi

Does anyone have the formula for calculating the points you get for buildings and research ??  *sos*

Thanks in advance
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Decimus
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« Reply #6 on: August 23, 2008, 17:54:16 PM »

I do..it is for v4 , Polymeron helped me a lot...but unfortunate..it is only in romanian language.
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« Reply #7 on: August 23, 2008, 17:58:25 PM »

Romanian is no option for me ... mhahaha  *pardon*
And the Dutch server still works with V1 rules so .... !!??
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Decimus
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« Reply #8 on: August 23, 2008, 18:02:40 PM »

Romanian is no option for me ... mhahaha  *pardon*
And the Dutch server still works with V1 rules so .... !!??
to transform for v1 is not a big deal...but language is... *hmm* maybe  ill work one day for translation..
you have in my profile my Yahoo Messenger.
« Last Edit: August 23, 2008, 18:03:36 PM by Decimus » Logged
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« Reply #9 on: August 23, 2008, 18:05:52 PM »

You can't explain it to me in English ??  Huh?
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Decimus
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« Reply #10 on: August 23, 2008, 18:17:25 PM »

100 villagers produce 10 wood , or 2 iron , or 5 stone or 5 gold
since for NW the amount of resources spended make the points amount ..the amount of points is the spended gold divided by 1000
so..it goes like this (wood/2+ iron*2,5 + stone+gold)/1000=networthpoints for an specific build/research.
edit : i was spamming once in dutch forum *hihi*
« Last Edit: August 23, 2008, 18:21:35 PM by Decimus » Logged
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« Reply #11 on: August 23, 2008, 18:22:19 PM »

And are those the basic resources prices without substraction of University and Architecture Huh?
Or do we calculate the prices we have payed ??

I knew Romanians can't be trusted  rant *Grin*  *gamer*
« Last Edit: August 23, 2008, 18:27:33 PM by Castaneda » Logged


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Decimus
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« Reply #12 on: August 23, 2008, 18:25:35 PM »

univ and arch bonuses do not aplies to NW..only to prices...so as long as u increase univ and arh..you get price lowering, but same NW as without univ or arch.
for NetWorth, only base price matters and the lvl.then further lvls goes with specified formula(like formula 1 for  granaries and some research..)
I knew Romanians can't be trusted  rant *Grin*  *gamer*
*hihi* *hihi* *hihi*
« Last Edit: August 23, 2008, 18:29:10 PM by Decimus » Logged
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« Reply #13 on: August 23, 2008, 18:33:34 PM »

Thanks alot Decimus .... I'm going to experiment and look if I can get things working  *dance*

PS Do I add the buildings I get for free at beginning of the game too ??
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« Reply #14 on: August 23, 2008, 18:39:50 PM »

take as starting for lvl zero..then for workingout  your networth, take it step by step with gold formula that iv writed .so..for jumping from lvl 0 to lvl 1..for sure u get some NW.
some things to say:true networth goes at 2 decimals
you start with some lvl's, but with zero networth, as every players, so if you want to calculate your networth, it matters just the resources that you spend. *Smiley*
« Last Edit: August 23, 2008, 18:40:26 PM by Decimus » Logged
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