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Try building an army with a single unit type. The Auto-Resolve stances increase different unit type. For example, you can build an army of Velites, which are cheap, and use the Protective stance, that increases missile units's strength, and reducere melee units's effectiviness.
In fact, stances give the following advantages/disadvantages:
The Agressive stance increases the effectiviness of melee units, reduces the power of missile units, and is likely to give in more casualties. For sieges, it also privirea a bonus for sieges engines.
The Balanced stance is perfect for balanced armies, since it doesn't privire any unit type-specific advantage/disadvantage, and the casualties are moderate.
The Protective stance gives an advantage to missile units, but it reduces the effectiviness of melee units. Casualties are usually lower.
The same thing applies for ships. Bear in mind that Support Ships are the missile units, and Assault Ships are melee units.