Difference between revisions of "Game Formulas"

Latest revision as of 22:29, 28 May 2014

These formula may not be entirely accurate. Use at your own risk!

This page contains a listing of various formulae for Earth Empires.

Note: Some of these are old formulas, and need to be updated. This list does not include every formula either. Those highlighted in green are as accurate as possible. Anything in red is known to be incorrect. A good player does not have to know all the formulas, but a basic understanding helps.

_{Most formulae use standard rounding, but some, like networth, use truncation.}

General Formulas

Calculating

Formula

Per Capita Income (PCI)

22.5 * (1 - Taxrate) * (1 + ((Networth/Land)/90000)) * (1 + (2 * (Ent/Land))) * BusTech * GvtPCIBonus

Revenue

PCI * Pop * Taxrate

Construction Cost

~~3 * Land + 1500~~ 3*(max(1,land-750)^1.03)+1500

Destruction Cost

0.2 * (3 * Land + 1500)

Rebuilding Cost

Oil Consumption

(Troops + Jets + Tanks)/25

Buildings Per Turn

(CS/4 + 5) * GvtContrBonus

Military Upkeep

((Troops * .11) + (Jets * .14) + (Turrets * .18) + (Tanks * .57) + Spies) * MilTech% * (1 + Networth/40000000) * GvtBonus * MilBaseFactor

MilBaseFactor has a lower limit of .61 and is calculated as follows:

MilBaseFactor = 1 - 1. 3 *(MilBases/Land)

Alliance Upkeep

(NumOfDef/OffAllies * 4 + NumOfIntel/ResAllies * 3 + NumOfTradePacts) * ( Networth / 2000 )

If a member of GDI, add: Land * 3 * GvtPenalty
If a war is declared, add: Land * 10

Or, broken out into individual Ally costs:

Defensive Allies: DefAllies * Networth * 0.002 (0.2% of NW each)
Offensive Allies: OffAllies * Networth * 0.002 (0.2% of NW each)
Intelligence Allies: IntelAllies * Networth * 0.0015 (0.15% of NW each)
Research Allies: ResAllies * Networth * 0.0015 (0.15% of NW each)
Trade Pacts: TradePacts * Networth * 0.0005 (0.05% of NW each)
GDI Costs (Theocracy): Land * 8
GDI Costs (All Others): Land * 4
Declare War Costs: Land * 10

GDI Penalty

Because of the defensive nature of the alliance, one side effect of GDI is 10% lower gains from your attacks.

Total Expense

Military Upkeep + Alliance Upkeep + Land Upkeep

Land Upkeep

If land < 1500: (7 / 1500) * (Land^2) + (3 * Land)
Otherwise: 10 * Land

Networth

(Troops * 0.5) + (Jets * 0.6) + (Turrets * 0.6) + (Tanks * 2) + (Spies * 1) + (Tech * 2) + (Land * 45) + (Buildings * 35) + (Money / 20000) + (Food/1000) + (Missles * 2500) + (Pop/6) + (Oil/100)
This formula does not specify whether each term is to be rounded or truncated, which varies.

Food Production

(Farms * 5.3) + (Unused Acres*0.4) * GovFoodBonus * AgriTech

Food Consumption

(Pop * 0.03) + (Spies * 0.005) + ((Troops + Jets + Turrets) * 0.001) + (Tanks * 0.003)

Food Decay

Bushels Before Turn is Taken = BBT
Bushels Consumed During Turn = Cons
Bushels Produce During Turn = Prod
( BBT - Cons + Prod ) / 1000

Technology Percentages

The technology percentage for countries is determined by the following formula:

BaseTech%+(MaxTech%-BaseTech%)*GvtTech*(1-EXP(-GvtEff*TechPts/(C1+C2*Land)))

With the variables C1, C2, GvtTech and GvtEff listed below. The base and maximum for tech is listed in the table on Technology.

Variable	Values
C1	Normal Techs 192 Military Tech 780 Medical Tech 1650
C2	Normal Techs 6.795 Military Tech 5.75 Medical Tech 4.62
GvtTech	Normal 1 Democracy 1.1 Theocracy 0.65 Theocracy, Military Tech 0.65 (unverified)
GvtEff	Normal 1 Communism 1.2

Tech Per Turn

TechPerTurn=Round(0.17*Labs*(1+Labs/Land)+3,0)

Military Formulas

SPAL
(Spies Per Acre Land)

(Spies*GovtBonus*Spytech + 1/4 AlliesSpies)/Land

Standard Strike Strength

WeaponsTech% * GovtBonus * Readiness * (Troops + Jets*2 + Tanks*4) + min(WeaponsTech% * GovtBonus * Readiness * (Troops + Jets*2 + Tanks*4), 0.25 * (AlliesTroops + AlliesJets*2 + AlliesTanks*4)) where min(value1,value2) = lower of the two values

Planned Strike Strength

SS Strength * 1.5

Switching Governments

If your current government is a Monarchy then there is no penalty for changing to another form.

When changing from any other form of government, there is are losses incurred to your countries resources during the change.

This loss is a percentage of all cash, military, technology and buildings. Starting at 14%, this number increases based on your networth (NW) with the following formula:

pre

NW < 10.5M: 14% losses 12M < NW < 30M: (14+25*(NW-10.5M)/18)% losses NW > 30M: 39% losses

@@ Line 1: / Line 1: @@
-{{attention|It needs to be determined what formulas are no longer accurate}}
+{{attention|These formula may not be entirely accurate. Use at your own risk!}}
 This page contains a listing of various formulae for [[Earth Empires]].
-{{Note|Some of these are old formulas, and need to be updated. This list does not include every formula either. Those highlighted in green are as accurate as possible. A good player does not have to know all the formulas, but a basic understanding helps.}}
+{{Note|Some of these are old formulas, and need to be updated. This list does not include every formula either. Those highlighted in green are as accurate as possible. Anything in red is known to be incorrect. A good player does not have to know all the formulas, but a basic understanding helps.}}
 <sub>Most formulae use standard [[Round (math)|rounding]], but some, like [[networth]], use [[truncate | truncation]].</sub>
@@ Line 8: / Line 8: @@
 <table class="wikitable">
-<tr><th>Calculating</th><th>Formula</th></tr>
+ <tr>
-<tr><td BGColor="#00FF00">Per Capita Income (PCI)</td><td>22.5 * (1 - Taxrate) * (1 + ((Networth/Land)/90000)) * (1 + (2 * (Ent/Land))) * BusTech * GvtPCIBonus</td></tr>
+  <th>Calculating</th>
-<tr><td BGColor="#00FF00">Revenue</td><td>PCI * Pop * Taxrate</td></tr>
+  <th>Formula</th></tr>
-<tr><td BGColor="#00FF00">Construction Cost</td><td>3 * Land + 1500</td></tr>
+ <tr>
-<tr><td BGColor="#00FF00">Destruction Cost</td><td>0.2 * (3 * Land + 1500)</td></tr>
+  <td BGColor="#00FF00">Per Capita Income (PCI)</td>
-<tr><td>Rebuilding Cost</td><td></td></tr>
+  <td>22.5 * (1 - Taxrate) * (1 + ((Networth/Land)/90000)) * (1 + (2 * (Ent/Land))) * BusTech * GvtPCIBonus</td></tr>
-<tr><td BGColor="#00FF00">Oil Consumption</td><td>(Troops + Jets + Tanks)/25</td></tr>
+ <tr>
-<tr><td BGColor="#00FF00">Buildings Per Turn</td><td>(CS/4 + 5) * GvtContrBonus</td></tr>
+  <td BGColor="#00FF00">Revenue</td><td>PCI * Pop * Taxrate</td></tr>
-<tr><td>Military Upkeep</td><td>Troops Upkeep: Troops * .11 * MilTech% * (1 + Networth/40000000) * GvtBonus * Constant<BR>Jets Upkeep: Jets * .14 * MilTech% * (1 + Networth/40000000) * GvtBonus * Constant<BR>Turrets Upkeep: Turrets * .18 * MilTech% * (1 + Networth/40000000) * GvtBonus * Constant<BR>Tanks Upkeep: Tanks * .57 * MilTech% * (1 + Networth/40000000) * GvtBonus * Constant<BR>Spies Upkeep: Spies * 1 * MilTech% * (1 + Networth/40000000) * GvtBonus * Constant<BR>Constant = If MilBases/Land &lt; .295 Constant = 1 - 1. 3 *(MilBases/Land) Else (that is, if the number of MilBases built is more than 29.5% of your land) Constant = 0.61</td></tr>
+ <tr>
-<tr><td>Alliance Costs</td><td>Defensive Allies: DefAllies * Networth * 0.002 (0.2% of NW each)<BR>Offensive Allies: OffAllies * Networth * 0.002 (0.2% of NW each)<BR>Intelligence Allies: IntelAllies * Networth * 0.0015 (0.15% of NW each)<BR>Research Allies: ResAllies * Networth * 0.0015 (0.15% of NW each)<BR>Trade Pacts: TradePacts * Networth * 0.0005 (0.05% of NW each)<BR>GDI Costs (Theocracy): Land * 8<BR>GDI Costs (All Others): Land * 4<BR>Declare War Costs: Land * 10</td></tr>
+  <td BGColor="#00FF00">Construction Cost</td><td><s>3 * Land + 1500</s> 3*(max(1,land-750)^1.03)+1500</td></tr>
-<tr><td>GDI Penalty</td><td>Because of the defensive nature of the alliance, one side effect of GDI is 10% lower gains from your attacks.</td></tr>
+ <tr>
-<tr><td BGColor="#00FF00">Land Upkeep</td><td>Land Upkeep = Land * 10<BR></td></tr>
+  <td BGColor="#00FF00">Destruction Cost</td><td>0.2 * (3 * Land + 1500)</td></tr>
-<tr><td BGColor="#00FF00">Total Expense</td><td>Military Upkeep Costs + Alliance Upkeep Costs + Land Upkeep Costs</td></tr>
+ <tr>
-<tr><td BGColor="#00FF00">Networth</td><td>(Troops * 0.5) + (Jets * 0.6) + (Turrets * 0.6) + (Tanks * 2) + (Spies * 1) + (Tech * 2) + (Land * 45) + (Buildings * 35) + (Money / 20000) +  (Food/1000) + (Missles * 2500) + (Pop/6) + (Oil/100)</td></tr>
+  <td>Rebuilding Cost</td><td></td></tr>
-<tr><td BGColor="#00FF00">Food Production</td><td>(Farms * 5.3) + (Unused Acres*0.4) * GovFoodBonus * AgriTech
+ <tr>
+  <td BGColor="#00FF00">Oil Consumption</td><td>(Troops + Jets + Tanks)/25</td></tr>
+ <tr>
+  <td BGColor="#00FF00">Buildings Per Turn</td><td>(CS/4 + 5) * GvtContrBonus</td></tr>
+ <tr>
+  <td BGColor="#FF0000">Military Upkeep</td>
+  <td>((Troops * .11) + (Jets * .14) + (Turrets * .18) + (Tanks * .57) + Spies) * MilTech% * (1 + Networth/40000000) * GvtBonus * MilBaseFactor
+<br>
+MilBaseFactor has a lower limit of .61 and is calculated as follows:<br>
+MilBaseFactor = 1 - 1. 3 *(MilBases/Land)</td></tr>
+ <tr>
+  <td BGColor="#00FF00">Alliance Upkeep</td>
+  <td>(NumOfDef/OffAllies * 4 + NumOfIntel/ResAllies * 3 + NumOfTradePacts) * ( Networth / 2000 )<br><br>If a member of GDI, add: Land * 3 * GvtPenalty<BR>If a war is declared, add: Land * 10
+<br />
+Or, broken out into individual Ally costs:
+<ul>
+<li>Defensive Allies: DefAllies * Networth * 0.002 (0.2% of NW each)</li>
+<li>Offensive Allies: OffAllies * Networth * 0.002 (0.2% of NW each)</li>
+<li>Intelligence Allies: IntelAllies * Networth * 0.0015 (0.15% of NW each)</li>
+<li>Research Allies: ResAllies * Networth * 0.0015 (0.15% of NW each)</li>
+<li>Trade Pacts: TradePacts * Networth * 0.0005 (0.05% of NW each)</li>
+<li>GDI Costs (Theocracy): Land * 8</li>
+<li>GDI Costs (All Others): Land * 4</li>
+<li>Declare War Costs: Land * 10</li>
+</ul>
+</td></tr>
+ <tr>
+  <td>GDI Penalty</td>
+  <td>Because of the defensive nature of the alliance, one side effect of GDI is 10% lower gains from your attacks.</td></tr>
+ <tr>
+  <td BGColor="#0F0">Total Expense</td>
+  <td>Military Upkeep + Alliance Upkeep + Land Upkeep</td></tr>
+ <tr>
+  <td bgcolor="#0F0">Land Upkeep</td>
+  <td>If land < 1500: (7 / 1500) * (Land^2) + (3 * Land)<br>Otherwise: 10 * Land</td></tr>
+ <tr>
+  <td BGColor="#00FF00">Networth</td><td>(Troops * 0.5) + (Jets * 0.6) + (Turrets * 0.6) + (Tanks * 2) + (Spies * 1) + (Tech * 2) + (Land * 45) + (Buildings * 35) + (Money / 20000) +  (Food/1000) + (Missles * 2500) + (Pop/6) + (Oil/100)<br>This formula does not specify whether each term is to be rounded or truncated, which varies.</td></tr>
+ <tr><td BGColor="#00FF00">Food Production</td><td>(Farms * 5.3) + (Unused Acres*0.4) * GovFoodBonus * AgriTech
 <tr><td BGColor="#00FF00">Food Consumption</td><td>(Pop * 0.03) + (Spies * 0.005) + ((Troops + Jets + Turrets) * 0.001) + (Tanks * 0.003)</td></tr>
-<tr><td>Food Decay</td><td>Bushels * 0.001</td></tr>
+<tr><td BGColor="#00FF00">Food Decay</td><td>Bushels Before Turn is Taken = BBT<br>Bushels Consumed During Turn = Cons<br>Bushels Produce During Turn = Prod<br>( BBT - Cons + Prod ) / 1000</td></tr>
-<TR><TD BGColor="#00FF00">Technology Percentages</TD><TD>BaseTech + (MaxTech - BaseTech) * GovtBonus * (1 - Exp(-Effective * TechPoints / (C1 + (C2* Land))))<BR>See [[Technology|techology]] for more info</TD></TR>
+<TR><TD BGColor="#FFF">Technology Percentages</TD><TD>The technology percentage for countries is determined by the following formula:
+BaseTech%+(MaxTech%-BaseTech%)*GvtTech*(1-EXP(-GvtEff*TechPts/(C1+C2*Land)))
+With the variables C1, C2, GvtTech and GvtEff listed below.  The base and maximum for tech is listed in the table on [[Technology|Technology]].
+{|class="wikitable"
+!Variable!!Values
+|-
+!C1
+|
+*Normal Techs   192
+*Military Tech  780
+*Medical Tech   1650
+|-
+!C2
+|
+*Normal Techs   6.795
+*Military Tech  5.75
+*Medical Tech   4.62
+|-
+!GvtTech
+|
+*Normal  1
+*[[Democracy|Democracy]]  1.1
+*[[Theocracy|Theocracy]]  0.65
+*Theocracy, Military Tech  0.65 (unverified)
+|-
+!GvtEff
+|
+*Normal  1
+*[[Communism|Communism]]  1.2
+|}</TD></TR>
+<tr><td BGColor="#00FF00">Tech Per Turn</td><td>TechPerTurn=Round(0.17*Labs*(1+Labs/Land)+3,0)</td></tr>
 <TR><TD colspan=2><font size=3><b>Military Formulas</b></font></TD></TR>
 <tr><td BGColor="00FF00">SPAL<br>(<u>S</u>pies <u>P</u>er <u>A</u>cre <u>L</u>and)</td><td>(Spies*GovtBonus*Spytech + 1/4 AlliesSpies)/Land</td></tr>
@@ Line 33: / Line 104: @@
 <td>SS Strength * 1.5</td></tr>
 </table>
-=== Networth ===
+=== Switching Governments ===
-The formula for networth is simple. Each resource is multiplied by a constant, either rounded or truncated, then added together.
+If your current government is a [[Governments#Monarchy|Monarchy]] then there is no penalty for
-<pre>Networth = Troops*0.5+Jets*0.6+Turrets*0.6+Tanks*2+Spies*1+Tech*2+Land*45+Buildings*35+Money/20000+Food/1000+Missles*2500+Pop/6+Oil/100</pre>
+changing to another form.
-<sub>The above formula does not include resource specific rounding or truncating.</sub>
+When changing from any other form of government, there is are losses incurred to your countries
+[[resources]] during the change.
+This loss is a percentage of all cash, [[Military_Units|military]], [[technology]] and [[buildings]]. Starting at
+%, this number increases based on your [[networth|networth (NW)]] with the following formula:
+{{Pre|
+NW < 10.5M: 14% losses
+M < NW < 30M: (14+25*(NW-10.5M)/18)% losses
+NW > 30M: 39% losses
+}}
 [[Category:Advanced Gameplay]]
 [[Category:Game Formulae]]

Difference between revisions of "Game Formulas"

Latest revision as of 22:29, 28 May 2014

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