Okay so this is how the game determines which flagship abilities you should get:
There's basically 4 "tiers" of abilities. Each tier consists of 3 abilities plus the abilities from the previous tier. The tiers are:
Tier 1:
Moves faster than normal
Scans out farther than normal
Provides additional anti air shots nearby
Tier 2:
Moves faster than normal
Scans out farther than normal
Provides additional anti air shots nearby
Repairs self and nearby ships slightly each turn
Can be used to build a small ship every turn
Invades cities particularly well
Tier 3:
Moves faster than normal
Scans out farther than normal
Provides additional anti air shots nearby
Repairs self and nearby ships slightly each turn
Can be used to build a small ship every turn
Invades cities particularly well
Can displace randomly away from enemy
Can be used to build a large ship on even turns
Flys long distance out for air attacks
Tier 4:
Moves faster than normal
Scans out farther than normal
Provides additional anti air shots nearby
Repairs self and nearby ships slightly each turn
Can be used to build a small ship every turn
Invades cities particularly well
Can displace randomly away from enemy
Can be used to build a large ship on even turns
Flys long distance out for air attacks
Negates victory points of nearby enemy cities
Can be used to build a super ship on odd turns
Fires cruise missiles during combat
The special ability or abilities that you get depend on your military ranking. It doesn't depend on your political ranking far as I can tell, and I don't know what the political ranking really does. The abilities don't repeat (i.e. you won't get two of "build small ships" for example). The abilities will be:
War Off: None (no flagship)
C War Off: Tier 1
Ensign: Tier 2
Lieutenant: Tier 3
Commander: Tier 3 + Tier 1
Captain: Tier 3 + Tier 2
Admiral: Tier 4 + Tier 2
Fl Admiral: Tier 4 + Tier 3
Data for this is via script of making new games + screenshots of the flagship desc. Other than 4242 samples for the Fl Admiral (because I tested two conditions), the others averaged 1449 samples each.
Note that the flagship starts at 10 HP at C War Off, and increases by 2 HP per ranking up to 22 HP at Fl Admiral.
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