Combat Basics: Difference between revisions
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Defenders also get an opportunity to kill attacking armies. Each defending army has a 70% chance at killing one of the attacking armies. | Defenders also get an opportunity to kill attacking armies. Each defending army has a 70% chance at killing one of the attacking armies. | ||
Generally, you always want to have overwhelming numbers in every battle you participate in. Clearly, however, this isn't always possible, so you must pick and choose your fights to make the most effective use of your armies. | Generally, you always want to have overwhelming numbers in every battle you participate in. Clearly, however, this isn't always possible, so you must pick and choose your fights to make the most effective use of your armies. | ||
==Animation Example== | ==Examples== | ||
===Animation Example=== | |||
In the animation shown in the upper-right right, 7 armies is shown attacking a territory defended by 4 armies. Note the left territory had 8 armies to start with, but it can only attack with 7 since one army must remain on all territories. | In the animation shown in the upper-right right, 7 armies is shown attacking a territory defended by 4 armies. Note the left territory had 8 armies to start with, but it can only attack with 7 since one army must remain on all territories. | ||
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In this case, the attackers killed 4 and the defenders killed 3. Since all of the defending armies died, the territory is captured by the attacker. 7 armies were attacking, and 3 were killed by the defenders, leaving 4 to occupy the newly captured territory. | In this case, the attackers killed 4 and the defenders killed 3. Since all of the defending armies died, the territory is captured by the attacker. 7 armies were attacking, and 3 were killed by the defenders, leaving 4 to occupy the newly captured territory. | ||
==Successful attack example== | ===Successful attack example=== | ||
Let's say that 15 armies attack a territory that has 6 armies. | Let's say that 15 armies attack a territory that has 6 armies. | ||
The attacking 15 armies could have killed between 0 and 15, but on average they will kill 9 (60% of 15). Let's say they kill 9 armies. | The attacking 15 armies could have killed between 0 and 15, but on average they will kill 9 (60% of 15). Let's say they kill 9 armies. | ||
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5 of the attacking armies die and all 6 of the defending armies die. Since all the defenders died, the remaining 10 attacking armies take control of the defending territory. | 5 of the attacking armies die and all 6 of the defending armies die. Since all the defenders died, the remaining 10 attacking armies take control of the defending territory. | ||
==Failed attack example== | ===Failed attack example=== | ||
Let's say that 25 armies attack a territory that has 20 armies. | Let's say that 25 armies attack a territory that has 20 armies. | ||
The attacking 25 armies could have killed between 0 and 25, but on average they will kill 15 (60% of 25). Let's say they kill 15 armies. | The attacking 25 armies could have killed between 0 and 25, but on average they will kill 15 (60% of 25). Let's say they kill 15 armies. | ||
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15 of the attacking armies die and 15 of the defending armies die. Since 5 defenders lived, the territory is not captured. The remaining 10 attacking armies retreat back to their territory of origin. | 15 of the attacking armies die and 15 of the defending armies die. Since 5 defenders lived, the territory is not captured. The remaining 10 attacking armies retreat back to their territory of origin. | ||
== | ==Analyze Graphs== | ||
Within the game, WarLight supplies [[Analyze Graphs]]. These provide an easy way to understand the odds of any attack succeeding without needing to understand all of the math presented on this page. | |||
==Analysis== | |||
Calculating how many armies will be killed can be done with the [http://en.wikipedia.org/wiki/Binomial_probability binomial probability] formula. If we run this formula on 100 attacking armies, we get a bell curve like this: | |||
http://blog.warlight.net/Images/BinomialDistribution.png | |||
We can see that the most likely number of armies that will be killed by 100 attacking armies is 60, which will happen about 8% of the time. 75% of the time, the rolls will fall between 55 and 65 armies. | |||
== | ==Luck Modifier== | ||
The calculations on this page assume that the game's [[luck modifier]] is set to 100%. Most games use a lower value, which reduces the amount that luck affects the game. To see how the this changes the calculations, see the [[Luck Modifier|Luck Modifier Page]]. | |||
==Overridden kill rates== | |||
The default [[offense and defense kill rates]] are 60% and 70%, but these can be overridden by game creators. Therefore, it's a good idea to check the settings on your game to be sure. | |||
==See Also== | ==See Also== | ||
* [[Luck Modifier]] | * [[Luck Modifier]] | ||
* [[Offense and defense kill rates]] | * [[Offense and defense kill rates]] | ||
* [[Analyze Graphs]] | |||
[[Category:Gameplay]] | [[Category:Gameplay]] | ||
Revision as of 17:14, 23 August 2011
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This animation is also available on YouTube |
The attack system is very simple. Each army that attacks has a 60% chance at killing one defending army. If all the defending armies are killed, the territory is captured and all the attacking armies move to occupy the destination territory.
For example, if you attack with 10, you will kill, on average, 6 armies. This is why you generally want to attack with at least double the number of armies the defender has.
Defenders also get an opportunity to kill attacking armies. Each defending army has a 70% chance at killing one of the attacking armies.
Generally, you always want to have overwhelming numbers in every battle you participate in. Clearly, however, this isn't always possible, so you must pick and choose your fights to make the most effective use of your armies.
Examples
Animation Example
In the animation shown in the upper-right right, 7 armies is shown attacking a territory defended by 4 armies. Note the left territory had 8 armies to start with, but it can only attack with 7 since one army must remain on all territories.
Each of the 7 attacking armies has a 60% chance at killing one defending army. Each of the 4 defending armies has a 70% chance at killing one of the attacking armies.
In this case, the attackers killed 4 and the defenders killed 3. Since all of the defending armies died, the territory is captured by the attacker. 7 armies were attacking, and 3 were killed by the defenders, leaving 4 to occupy the newly captured territory.
Successful attack example
Let's say that 15 armies attack a territory that has 6 armies. The attacking 15 armies could have killed between 0 and 15, but on average they will kill 9 (60% of 15). Let's say they kill 9 armies. The defenders could kill between 0 and 6 of the attacking 15 armies, but on average they will kill 4 or 5 (70% of 6). Let's say they kill 5 armies. 5 of the attacking armies die and all 6 of the defending armies die. Since all the defenders died, the remaining 10 attacking armies take control of the defending territory.
Failed attack example
Let's say that 25 armies attack a territory that has 20 armies. The attacking 25 armies could have killed between 0 and 25, but on average they will kill 15 (60% of 25). Let's say they kill 15 armies. The defenders could kill between 0 and 20 of the attacking 25 armies, but on average they will kill 14 (70% of 20). Let's say they kill 15 armies. 15 of the attacking armies die and 15 of the defending armies die. Since 5 defenders lived, the territory is not captured. The remaining 10 attacking armies retreat back to their territory of origin.
Analyze Graphs
Within the game, WarLight supplies Analyze Graphs. These provide an easy way to understand the odds of any attack succeeding without needing to understand all of the math presented on this page.
Analysis
Calculating how many armies will be killed can be done with the binomial probability formula. If we run this formula on 100 attacking armies, we get a bell curve like this:
We can see that the most likely number of armies that will be killed by 100 attacking armies is 60, which will happen about 8% of the time. 75% of the time, the rolls will fall between 55 and 65 armies.
Luck Modifier
The calculations on this page assume that the game's luck modifier is set to 100%. Most games use a lower value, which reduces the amount that luck affects the game. To see how the this changes the calculations, see the Luck Modifier Page.
Overridden kill rates
The default offense and defense kill rates are 60% and 70%, but these can be overridden by game creators. Therefore, it's a good idea to check the settings on your game to be sure.