FoE Advanced: Guild Expedition Fighting Analysis

PURPOSE

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This post summarizes the results of data tracking for the amount of Expedition Points (EP) gained through fighting Guild Expedition (GE) encounters.

Summary

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SUCCESSFUL BATTLES
The amount of EP gained through successfully fighting a GE encounter is based exclusively on the following:

• The player’s Age

• The current GE segment (see GE: Basics)

• The number of enemy units (See Contemporary Era/Tomorrow Era discussion at the end of this section for unique circumstances)

The following has been confirmed NOT to impact the number of EP earned:

• The amount of damage the player receives

• The number of units the player loses

• The attack and defense bonuses of the enemy

• The amount of Combat Points earned for the battle

• The age of the the player or the enemy’s units, nor the specific units

As the values for a winning a GE encounter battle are fixed, there is no variability in the amount of points available when successfully fighting (excepting lost battles). In the Progressive Era (PE), the successful fighting point totals are:

Level 1: 10,853 EP (6.5% of total)
Level 2: 21,049 EP (12.5% of total)
Level 3: 47,207 EP (28.0% of total)
Level 4: 89,252 EP (53.0% of total)
TOTAL: 168,361 EP

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The following table summarizes the point values for PE battles from the collected data. Note that the Point/Enemy Unit value does not appear to increase at a constant or predictable rate, and some error is introduced due to the only data being reported to the player being rounded. While the values below show the Point/Enemy Unit for PE, the included Excel file provides these values for the Iron Age, Modern Era, Post Modern Era, and Contemporary Era. The “Point Increase over Previous Segment” is constant across eras, but the initial Point/Enemy Unit value for Segment 1 increases based on the age of the player at the start of GE.

Progressive Era Fighting EP Summary
GE Level	Segment	Approx. Points / Enemy Unit	Point Increase over Previous Segment
1	1	83.55	–
	2	87.75	105%
	3	91.89	105%
	4	100.25	109%
2	5	108.61	108%
	6	121.14	112%
	7	133.60	110%
	8	150.33	113%
3	9	167.00	111%
	10	192.06	115%
	11	217.13	113%
	12	250.51	115%
4	13	283.93	113%
	14	325.68	115%
	15	367.43	113%
	16	417.50	114%

CONTEMPORARY/TOMORROW ERA WEIRDNESS
The initial analysis was conducted in the Progressive Era. Additional data collection for the Iron Age, Modern Era, Post Modern Era, and the Contemporary Era has been conducted to verify the behavior is the same across ages. With the exception of the Contemporary Era (discussed below), the results of the Progressive Era analysis have been verified to hold true for other ages.

The Contemporary Era (CE) introduces the Missile Artillery Unit, which has a unique ability called “One Shot.” After attacking, this unit is removed from the map. If the battle is lost, the unit is destroyed, else the unit survives. As shown in the Excel file below, Missile Artillery units which are allowed to fire in the last wave of a battle are effectively removed from the EP point calculations. For example, if you win a one-wave battle with 8 enemy units, one of which is a Missile Artillery unit which is allowed to attack, you will only get EPs rewarded for 7 enemy units. However, if you are in a two wave battle, any Missile Artillery from the first wave are considered “destroyed” regardless of their status, while any Missile Artillery units that were allowed to attack in the second wave are removed from EPs calculations.

This was verified through the use of flying units such as Attack Helicopters and Combat Drones, which are not targetable by Missile Artillery. See the Excel file included below for the raw data collected demonstrating this relationship.

As the Missile Artillery unit is the only unit in the game with “One Shot,” this only impacts GE for the Contemporary and Tomorrow Eras.

FAILED BATTLES
The value of the points earned for a failed battle is confirmed not to be scaled to the current GE segment, and appears primarily effected by the amount of damage done to enemy units. Further testing is required to confirm these relationships.

Methodology

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The following were tested and tracked in an Excel file (attached at the end of this post):

• The number of EP awarded using different age troops for battles

• The amount of damage done to the enemy

• The amount of damage received

• The number of units lost

• The attack and defense bonus of the enemy troops

• The ages of the enemy troops

• The number of waves in the GE encounter

• The number of Combat Points awarded

The above data was collected by taking iOS screenshots, and then manually entering data into the Excel file.

Once the data was compiled, it became fairly clear that the principle factors impacting the EPs earned were the segments and the number of units. Therefore, the approximate Points/Enemy Unit was calculated by determining the widest possible range the unrounded EP value could be. The minimum unrounded EP value was calculated by subtracting 0.5 from the EP and the maximum unrounded value was calculated by adding 0.4 to the EP. (i.e. if an encounter rewarded 969 EP, the minimum unrounded value is 968.5 and the maximum unrounded value is 969.4).

These minimum and maximum unrounded EP values were then divided by the number of enemy units to calculate the range of Points/Enemy Units values which, when rounded, would result in the EP values recorded. For each GE segment, the narrowest range which fit all of the data points was determined. Then an average value of this range was calculated.

A final check was done with this average Points/Enemy Unit to determine if the value, when applied to each segment, would result in the rounded EP values recorded. With the exception of segment 2, encounter 8, all of the final rounded values match perfectly.

Finally, in an attempt to determine the impacts of each segment, the average Points/Enemy Unit values for each segment were compared to the values from the previous segment.

Results

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The following Excel file contains all of the analysis and plots for perusal (yellow highlighted cells are missing or uncertain data):

The following charts visually represent the relationship, or lack-thereof, between the EPs earned and the corresponding data (these are from the above Excel file):

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