Imperia Online International

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  :) :

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.

---

---

Quote codegrrrl

I n f o r m a t i o n !  *freak*

You are a man after my own heart Xaoc.

My Imperia Tools (http://www.codegrrrl.com/imperia/) 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) (http://www.codegrrrl.com/imperia/downloads/ImpECal124.xls) 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!)

lol! this is so weird

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??

Log out, clear the temporary internet files (cache) and log in again...

thanks, worked out fine  :hooray:

Hi

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

Thanks in advance

I do..it is for v4 , Polymeron helped me a lot...but unfortunate..it is only in romanian language.

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.

You can't explain it to me in English ??  ???

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*

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

I knew Romanians can't be trusted  :rant: :D  *gamer*

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..) *hihi* *hihi* *hihi*

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 ??

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. :)

kk thnx  *kiss* will let you know later if ur tips work for me  *bravo*
Otherwise I want my money back   *hihi*

 *hihi* glad to help you...in cas eyou want to learn romanian, ill send my excel to translate.. *freak*
neverthless, it will help you a lot to read my dutch forum spamm, in case ill spamm there again :P

I do want ur Excel !!!!!!! Can I get it ????
You can get mine (for polishing ur Dutch) ...............
http://www.filesend.net/download.php?f=a9dbdc0b985aaf7babfe6169250edbff
nothing special ... still lotta faults

http://www.yourfilehost.com/media.php?cat=other&file=755CALCUL_NETWORTH_1.0_rom.rar
:zzz: :zzz: :zzz: here it is...just networth calculations..hope to be usefull for some.. *pardon*

Mhahaha enough Romanian girls  *hahaha* .... but no Excels   :hmmm:
Never mind thanks anyway  ;)

be sure to write that security code... *WASSUP*

Hi Decimus

Integrated your Networth calculation and it seems to work fine  *YAHOO*
Only the starting buildings must not be counted !!   ???
Thnx again  *bear*

:)
ps: do you understand romanian? *hihi*

You explained all in English so .... didn't need any Romanian  *hihi*

You can view new one at: http://www.filesend.net/download.php?f=d5c6a60c7a18f70f8abc215462dcfaa6

But I got a new question  :(
How do I calculate Networth if I Centralize a new Province .... for I then lose 500 soldiers and get new Farm/Lumber/Iron/Stone
Any idea ??  (For if I subtract soldiers I will drop far too low, I think)

armies for colonisation do not substract from NW,,,so..if u colonise a province..u just start with some resources bonuses there...
so NW in this case..are just NW for centralisation and soldiers.

I really don't understand  *WALL* ..... so I lose 500 soldiers ... but the soldiernetworthpoints stay ... is that it ??
Further do I add Farm/Lumber/Iron/Stone points ???
Or does all stay the same as before I got new Province and then addition starts when I get something new ???

yes,,adition in NW start when you start building in that new province
colonise command is smth else than dismiss(disband) command, ur not gonna loose the points when make a new colonisation (500 soldiers nw) and ofc..at your NW it will be cumulated for the hole procces the new centralization research, the 500 soldiers NW , and after that new province is colonised, ull have there 500 villagers and resources.startting to build will bring new +NW

Aha kk understood .... thnx again my friend  *kiss*

anytime man ;)

Couldn't get time calculating of Buildings and Research right in my spreadsheets !!    :( :rant:
Asked IO support for help ..... omg  *WALL*
Answer of Support: Time calculating is too difficult to explain  *stop*
My answer: But, but, but when it's calculated there must be a formula for it  *Angry*
Support: No really too difficult  *freak*

Now I ask myself .... if it's true .... and it's really that difficult ....

WHY THE HELL THEY MAKE IT THAT DIFFICULT .... does this have a reason .... must it stay a secret .... OMG  *suicide*

everything can pe "hacked" in IO and formulated with good math in excels , ill try this era to see how buildings time  evolve  on..as soon ill start a new province. *pardon* *hihi*
hope that didnt upset IO-team  *pardon*

so dissapointed that formula 1 DOESNT WORK anymore after certan level.Why it isn't mentioned ! ! .I hope i ll get chance to have conversation with caxo or somebody from io team ,via private message

i try to revert formulas from many datas and this is few on the exel sheets


time is a very difficult situation, because the parameter is not constant and varies depending on the level of university studies or for the architecture for buildings

I found the formula for the duration of the buildings and research. The time varies according to Formula 1 for each level of the building or researches and modified by the university or architecture in accordance with the model

- (1+level university*0,02) for the researches and university
- (1+level architecture*0,02) for the buildings

but this formula doesn't  work with all buildings (fortresses, university, depot station have other formulas)

This is the work of the Polish team IO *bravo*

Am very confused using this Imeperial Online calculator, at the Nomads today we attacked with Fortress siege mode from Robbyal [NOMADS] with detail army:

Heavy Spearmen : 10000
Heavy Archer : 5000
Swordsmen : 10000
Heavy Swordsmen : 10000
Heavy Cavalry : 3000
Catapults : 200   
            
We have detail :
Range Attack : 14
Male Attack : 11
Armor : 11
Military Medicine : 6
Fortification : 13
Fortress Level : 6

with Army:
On Field:
Heavy Spearmen : 1004
Heavy Swordsmen : 1153
Heavy Archer : 769
Elite Archer : 500
Heavy Cavalry : 830

And at Garrison :
Elite Archer : 6080

After battle my army lost at all fight, my province terrain is train and train with forest.

Need help from all to analize why am lose?

thanks for all answer...

=PRODUCT(100;POWER(1,96;N2-1);POWER(0,98;PRODUCT(N2-1;N2-2;0,5));1/(1+0,02*(N2-1)))

this Excel formula will work for gold calculation for university for v4 ,where N2 is field which contains level of university u want to calculate.Ofcourse ,it works only below lvl 41 ,and after that only self-discount applies (those 2% per level).
product(a;b;c) <=> a*b*c
power(a;b) <=> a^b
100 is base gold price (w:s:g=2:1:1 ,so knowing gold is enough).
This is iterative formula ,not recursive ,and ofc, is derived from recursive. If u have any question ,pm me.

in several posts I'll give most of the formulas IO (ver4a).

Farm, lumbermill, iron mine and stone quarry:

• cost=bc*1,25^cl/(1+al*0,02)

bc - basic cost
cl - current level
al - architecture level

• time=bt*1,25^cl/(1+al*0,02)/(1+al*0,3)

bt - basic time
cl - current level
al - architecture level


University

• cost=bc*formula1/(1+ul*0,02)

bc - basic cost
ul - current level of university

• time=0:03:00*formula1/(1+ul*0,02)/(1+ul*0,45)

ul - current level of university


Military buildings, granary, depot station, reserve

• cost=bc*formula1/(1+al*0,02)

bc - basic cost
al - architecture level

• time=bt*formula1/(1+al*0,02)/(1+al*0,3)

bt - basic time
al - architecture level


Fortress

• cost=bc*4^cl/(1+al*0,02)

bc - basic cost
cl - current level
al - architecture level

• time=0:23:00*4^cl/(1+al*0,02)/(1+(al+ma)*0,3)

• repair cost=(300*4^cl/3*2+1000*4^cl)/5/(1+al*0,02)

cl - current level
al - architecture level
ma - military architecture level

* build time fortress thanks to SEN

Researches

Military academy

• cost=bc*4^cl/(1+ul*0,02)

bc - basic cost
cl - current level
ul - university level

• time=0:01:00*4^cl/(1+ul*0,02)/(1+ul*0,45)

cl - current level
ul - university level


Other researches

• cost=bc*formula1/(1+ul*0,02)

bc - basic cost
cl - current level
ul - university level

• time=bt*formula1/(1+ul*0,02)/(1+ul*0,45)

bt - basic time
cl - current level
ul - university level

Is this still correct - especially for the population above 100 000?

of course it is .... why would you want it to have change ?

cause reality shows some differences...
my province:
110037 pop
14 granary
9 healers
13 med
20% terrain
so:
(30+100+14)*1,65*1,2*1,09 = 310,78 -24 = 286,78

Actually the growth is 306 :)

That's because you don't use the formula correctly ...

1) it doesn't say that you max the pop value at 100k, but that from that point you have to include an incremental malus
2) the healer guild was introduced a posteriori, and for simplicity, is to be included on the overall calculus

here is how you should have done it :

{[(30 + 110 + 14) x 1.2 x 1.65) - 24] x 1.09} = 306.2 rounded up at 306 :)


Have fun,

Hmmm, so how about this:
113637 pop
14 granary
9 healers
13 med
20% terrain

according to your formula:
{[(30 + 113(?) + 14) x 1.2 x 1.65) - 24] x 1.09} = 312,67
{[(30 + 114(?) + 14) x 1.2 x 1.65) - 24] x 1.09} = 314,83

but the growth is 307

edit:
116087 population
growth still 307
while {[(30 + 116 + 14) x 1.2 x 1.65) - 24] x 1.09} = 319,15

any ideas?

no ideas at the moment  *pardon*

I'm not so sure that for every 1k villagers you gain one more villager, meaning that they are added only they reach a multiple of 10 (for example you have 110 at 110k, 110 at 119k and 120 at 120k) *rose*

which would mean that the 306 or 307 value is just a round-up issue ...

same prov as above, population 118704 - growth 308

and you should have a significant jump in the hourly rate when you move to 120k+

EDIT :

{[(30+120+14) x 1.2 x 1.65) - (10+14+18)] x 1.09} = 308.16 rounded up at 308

so far so good.
does it mean that between 10k intervals, the increase has some linearity instead of the incrementality presented by IO Admins ? maybe so .... in any case, it also shows that the formula is by and far, correct.

next target for 130k pop :

{[(30+130+14) x 1.2 x 1.65) - (10+14+18+22)] x 1.09} = 305.76 rounded up at 306

you should see the hourly growth rate decrease to 307 around 124k-125k pop, don't you think ?


Have fun,

population: 123017
growth: 307

Ok, so another interesting example:
granary: 19
med: 24
terrain: no effect
healers: no effect

    * pop 209351, growth 187
    * pop 209646, growth 186
    * pop 209941, growth 185
    * pop 210237, growth 184
    * pop 210530, growth 183
    * pop 210822, growth 182
    * pop 211112, growth 181
    * pop 211401, growth 180

while according to formula:
{[(30+210+19) x 1 x 2.4) - (10+14+18+22+26+30+34+38+42+46+50+54)] x 1} = 237,6
   

yep, there should be a linear component to the decrease in growth that is no reflected in the formula  *hmm* :head_hurts_kr:

It's not 2.4...it's 2.2

{[(30+210+19) x 1 x 2.2) - (10+14+18+22+26+30+34+38+42+46+50+54)] x 1} = 185.8 rounded up at 186

Ups, mea culpa  :-[
So forumula is quite accurate at each 10k step , between there is some linearity...

good  *ok*

Thanks this is perfect!  *ok*

If you still need the formula for forts time it is:
0:23:00*4^fort level/(1+Architecture level*0,02)/(1+(Architecture level + Military Architecture level)*0,3)
 :head_hurts_kr:

thx ill check and implement in calc if work *cool*

 and now build time fortress is implemented, thx SEN *cool*

the link is dead

Where to buy formulas? I have never seen that before!! Please help me! Thanks!

I use this simpel formula(in version 4a):

MP = Max prices you know you can get.
C   = 10%/5% commision
T   = Trade level %
B   = Max. Buy prices

B = MP-(MP*C)-(MP*T)

If two people want to click centralization lvl10 and one have university lvl10 and the other one has it lvl15. Will they both get the same NP or not. Im thinking/hoping that they will receive equal NP. Playing in V4x rules

They will get same Networth points. But player with uni 15 will get uni little cheaper then player with uni 10.

Thank you for the answear. I needed second opinion, becouse someone didnt believe me  [:-}

I created a log book and edit the categories through the wizard.  Now when I use the log book the only one I have I cant see a way to edit the categories.  If I go under the Category: menu there is a line that says Category      Edit but I can not select it - I can only select the categories themselves.  What am I missing?

Thanks.

If you do not see your bonuses due to architecture, military architecture, or university upgrades, make sure you delete you hotkeys(shortcuts) and reset them to see your'e bonuses.  I played this game for two months before I reailzed that I did not get any bonuses because of the glitch(f-up) by the programmers, and finally one member of admin sent me a link which told me to do it.  Now every time I upgrade any one of these things, I reset my hotkeys.  Pass this info on! :evil3:

I appreciate that the truly intelligent forum staff, moderators, etc, attempt to help us morons in playing the game.  But the bugs present here are laughable, and they say that they have reduced(simplified) the difficulty of explanations(do you really want to explain to me the reality of diminishing returns???)on costs of upgrades, when without exception it is cheaper to have 40k heavy sworsdmen instead of 20k Guardians for a long length of time when the necessary research to get Guardians is absurdly expensive, and even then you as a player have no idea how your Guardians fare against an opponents heavy swordsmen(because again we players are too unintelligent to understand the complex mathematical equations to understand density levels and how they apply to computations of battle losses depending on various things like armor level, melee or range attack level, etc).  Publish ALL the rules, so that we(the stupid{or stoopid} layman player) can know the parameters of the game that we are involved in.  Seriously, this is like playing chess and not knowing how the knight moves(in my humble opinion, one of the least respected and most under-utilized pieces in the game)!!!

if u cannot see why 1 guardian is better then 2 h . sw ,ill try to explain .There is one minor almost irrelevant thingie called upkeep .For same amount of gold u can maintain 3 guardians instead 4 heavy swordsman.Upkeep is more expensive part  then training cost of  a unit (in normal circumstances aka u are not  a retard to lose soldiers all soldiers few days after training ) . Upkeep margin which u can pay with ur goldmine "skill" and economy determines size of ur army .

Not to mention the fact that you need 20k more population to build 40k heavy swordmen than 20k guardians, which means you have 20k less people producing resources = less gold.

Shall I also mention that the number of soldiers attacking a fortress is limited by the physical boundaries of the fortress? Therefore, the most powerful each of the soldiers attacking, the less time it will take you to destroy the fortress (= the less troops you will lose against the enemy archers....even can make the difference of winning or losing the attack if you are tight on morale on that attack).

Finally, bragging about having 20k guardians sounds nice, while shouting around you have 40k heavy swordmen impress none. And bragging is a big part of this game (or any other competitive game).

Hello, is something wrong or max lvl or university is 13 from now?

its wrong, my fault
this is good

http://rapidshare.com/files/278171654/all_calcs.xls

Thanks :D +1k

I fully agree with you!!!! How to play if it is not possible to know ALL the rules???

wow man this awesome

Is there a formula or list what is the max soldier number that will participate in fortress siege for which level of fortress? And if you attack with different troops does equal percentage of troops participate? What happens with siege weapons?

PS: Is there some best practice garrison like arch:horsemen 4:1 or something, or is it best practice to garrison only arch?

About the Mythical Formula #1..

Is there a list where I can find the base worth of every research/building?
I want to know how much the next level research will cost me, but I haven't got the original (base) value of the research.
If I'm not mistaken the following list gives the multiply factors upto L25:

0   0,98    1,00
1   1,96    1,96
2   1,92    3,76
3   1,88    7,09
4   1,84    13,07
5   1,81    23,63
6   1,77    41,87
7   1,74    72,70
8   1,70    123,70
9   1,67    206,27
10   1,63    337,08
11   1,60    539,82
12   1,57    847,22
13   1,54    1.303,06
14   1,51    1.964,07
15   1,48    2.901,21
16   1,45    4.199,78
17   1,42    5.957,99
18   1,39    8.283,21
19   1,36    11.285,59
20   1,34    15.068,70
21   1,31    19.717,57
22   1,28    25.284,66
23   1,26    31.775,09
24   1,23    39.132,95
25   1,21    47.230,71

But without the base value... Well I guess you see my point...

So does anyone have the base values listed somewhere?

sorry I am trying to work out what I am doing wrong


I am in Realm 8
I have a
population of 230000,
Granaries of 11 and its on a Plain
Medicine of 14 (+4 for alliance)
Guild 10 (with 1% pop Bonus enabled)


Based on this I worked out that my Population growth should be 412.566 with the penalties for my size of 504 I should have a total population growth of minus 91.434

but when I look at the report it says my population growth is 111

Thanks
Ulrictar

I found population growth formula ;)

Growth = ((30+p/1000+g)(1+m/20)t-2n(n+4))(1+h/100)
where p, g, m, t, h are respectively population, granaries level, medecine level, terrain modifier, healers guild level
and n=(p/10000-9) if population is bigger than 90000, or n=0 otherwise

Hello, does anyone still got this file? If It does, please let me know, tnx.

I use the log book the only one +1.