Attacking & Defending

This is part of the Utopia WIKI Formula Series.

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Military Efficiency

Base Military Efficiency

Base Military Efficiency = Base Military Efficiency = 4/3*(Wage Rate^3)-(8*(Wage Rate^2))+ 22.26*Wage Rate+84.4) * GBP

• Rounded to one decimal point, it should return the most accurate values. Wage Rate lies between 50 to 200.

Modifier Type	Active	Otherwise
'Gangbang Protection	Varies, check Link

Offensive Military Efficiency

OME = Base Military Efficiency * Training Ground Bonus * Honor Bonus * Fanaticism

Modifier Type	Active	Otherwise
Fatanaticism	1.04	1
Honor	Refer to table
TG Bonus	Refer to Internal Advisor

Defensive Military Efficiency

DME = Base Military Efficiency * Forts Bonus * Minor/Greater Protection * Fanaticism * Plague

Modifier Type	Active	Otherwise
Protection	1.05	1
Fanaticism	0.97	1
Plague	0.85	1

Attacking

Raw Offense

Raw Off = Soldiers + (Offensive Specs * Offspec value) + (Elites * Elite Attack value) + Horses + [(Mercs+Prisoners)*3]

Modified Offense

Mod Off = Raw Offense * OME * General Bonus * Stance

OME	check your Military Advisor
General Bonus	1.03 (2 gens), 1.06 (3 gens), 1.09 (4 gens)
Stance: Fortified	0.85 (Fortified), 1 otherwise

Attack Times

Attack Time = Base Attack Time * Personality Bonus * Barracks Bonus * Quick Feet * Anonymity * Stance * Attack Type * War 
* NW Mod + Fog

• Note that attack time bonus takes time to phase in, if you have just entered war.
• There is a networth value adjustment for attack times. This adjustment compares your networth to the networth of the province you are planning to attack. If these are close to each other the base attack times as given below are used. If the networth differs, then the base attack time is multiplied, so your attack time is longer. This does not affect intra-KD attacks.

Modifier Type	Active	Otherwise
Personality: Warrior	0.85	1
Quick Feet	0.9	1
Anon	1.15	1
Stance: Aggressive	0.9	1
Stance: Fortified	1.15	1
Relations: War	0.85	1
Fog	+3 hours	0

Base Attack Time

Base Attack Times	Intra KD	Same Island	Diff Island
	12.6	14.4	16

Attack Gains

Gains Formula
Insert superawesumz Gains Formula Here

 Gains = Target Resource * Attack Type * PNF * KNF * GBP * GS * Race * Stance * Relations * Science

Modifier Type	Active	Otherwise
Guard Stations	Variable, check link
Gains Science	Check your science page
Race: Orc	1.3	1
Gangbang Protection	Variable, check link
[OOW] Kingdom NW	See Below
Province NW	See Below
Attack Type	See Below

 Province Networth Factor (PNF):
 Relative Province Networth (rpnw) = TargetsNW / SelfNW
 IF rpnw < 0.567, then PNF = 0
 IF 0.567 < rpnw < 0.9, then PNF = 3 * rpnw - 1.7
 IF 0.9 < rpnw < 1.1, then PNF = 1
 IF 1.1 < rpnw < 1.6, then PNF = -2 * rpnw + 3.2
 IF rpnw > 1.6, then PNF = 0

 Kingdom Networth Factor (KNF):
 Relative Kingdom Networth (rknw) = TargetKingdomNW / SelfKingdomNW
 IF rknw < 0.4, then KNF = 0.6666
 IF 0.4 < rknw < 0.9, then KNF = rknw * 2/3 + 0.4
 IF rpnw > 0.9, then KNF = 1

Traditional March

Base gains are 12% and Traditional March gains are capped at 20% of your or your opponent's land, whichever is smaller. In war, this 20% cap is revised to 22% if your opponent's explore pool is not empty.

Plunder

Base gains are 50% gold, 60% food and 60% runes. Max gains is 1.35x base (67.5% gold, 81% runes/food).

Learn

Base gains are 9.375% of each category of science.

Conquest

Base gains are 6.8% land for a full hit, gains are decreased in proportion to the relative offense sent vs. targets defence.

Massacre

Base gains are 9.5% peasants, 8.5% thieves and 5% wizards

Defending

Raw Defense = (Defense Specs * Def Spec Points) + (Elites at Home* Elite's Defense) 
                + (Soldiers * Def Points Sold * Aggression) + Townwatch

Mod Defense = MAX( Raw Defense * Defensive Military Efficiency, Land) * Monarchy Bonus[Hostile/War] * Stance

Modifier Type	Active	Otherwise
Def Spec Points	6 (Humans), 5 (Others)
Elite Defense	Variable
Aggression	0	1
Townwatch	Peasants/4	0
[Hostile+War] Monarchy Bonus	1.1	1
Stance: Fortified	1.1	1

Minimum Defense

• All land is protected by a minimum of 1 defense per acre. That is, if you should send every single elite and general out, and release your defense specialists, an opponent would still need to send 1 offence point per acre to conduct a successful attack against you.