This from HTC website under GETTING STARTED:
Capturing territory
Territory is gained by capturing a field. A field consists of an airfield, vehicle field, or port and an adjacent
town. The town is situated 2-3 miles from the field or port and contains the strategic map room for the
entire field. All buildings in the town must be destroyed before attempting to capture the field. Destroyed
town buildings will stay down for 45 minutes, during which time 10 troops must be delivered to the map
room via one of the troop carriers to capture the field. After the tenth troop safely makes it into the map
room, a system message will appear in the message buffer announcing the captured field number and the
capturing country.
Resupplies
Damaged field and city objects can be rebuilt with the successful delivery of supplies. Conceptually, the
objects are being resupplied but visually they are being rebuilt. This is done by shortening the downtime
by fixed percentages depending on how much of the supplies reach the destination.
Trains, convoys, and barges
Trains, convoys, and barges are built into the terrain. Each train, convoy, or barge has a source point and
a destination point, and each can be damaged or destroyed while traveling from point to point. The source
point controls whether the train, convoy, or barge can run, i.e. a destroyed source point will not dispatch
supplies.
The source point can be either a Depot or a Station. A Depot is a field that can be captured and has a
unique field number. A Station is an object or a group of objects that are country owned and can be
destroyed but not captured. If a Depot has been captured, then the train, convoy, or barge will only
resupply objects that are owned by the capturing country. If 75% of a Station is destroyed, then the train,
convoy, or barge becomes inoperable.
The destination point is where the train, convoy, or barge attempts to resupply. The destination can be
either a single field, or a number of objects within a defined radius. If a destination field is captured while a
train, convoy, or barge is enroute, the train, convoy, or barge continues to the destination, but will not
resupply enemy countries.
Once a train, convoy, or barge has successfully reached it's destination, it simply respawns again after five
minutes at the source point.
Supply drops
The C-47, LVT-2, and M-3 have the capability to drop supplies on a field to repair the field or shorten the
downtime. These object supplies will repair all resupplyable objects in a one mile radius from the point
where the supplies land. The supplies are selected as a loadout option in the hangar, and .25 perk points
are awarded to the player who dropped the supplies for every object that's affected by the resupply.
A vehicle supply type is also available to repair and supply vehicles with ordnance. When these supplies
are dropped, any friendly vehicle within a half mile radius receives a Load Supplies button on their screen.
Clicking this button will use the supplies to both repair and rearm their vehicle. If the supplies are unused,
they vanish after 15 minutes. Vehicle supplies will not reload troops or the vehicle and object supplies.
Winning the War
The war is won when any country is reduced to one field. At that time, the arena is reset, a different terrain
is rotated in with the country territories randomly set, and a perk point bonus is awarded to players that
have been in the winning country for a minimum of 12 hours prior to the end of the war.
Strategic system
The basic categories of strategy targets in Aces High include field targets, country targets, city targets,
and supply targets.
The field targets affect availability of field items such as planes, fuel, ammo, etc. Every tower has a
chalkboard displaying the field number and the current status of the field targets.
The country targets are the factories that affect the downtime of field targets.
The city targets are the buildings within a city and they affect the downtime of the country targets.
The supply targets are the trains, convoys, and barges that resupply damaged fields and cities.
The percentage of city targets down in a city complex affects the rebuild time of damaged or destroyed
country targets. For example, if a factory (a country target) is destroyed and there is no damage to any city
targets, the the rebuild time for the factory would be 30 minutes. If, however, the city targets are 50%
incapacitated, then the rebuild time for the destroyed factory would be an hour. If the entire city were
destroyed, then the factory rebuild time would be two hours.
The number of country targets down at a factory complex affects the downtime of the corresponding
structure at the field. If a radar factory is damaged or destroyed, the field radar rebuild time is increased.
Field radar will be unavailable if the radar at the field is destroyed. If a country's HQ is destroyed, then
radar is eliminated and sector counters become inoperable for that country.