4 Dragoons will beat 2 Dragoons twice and then some.
An army that is twice as powerful as its opposition — whether due to size, unit upgrades, General/Patriot buffs or something else — can deal with a half-strength army more than twice. An army that is ten times as powerful (think Machine Guns vs Crossbows or something) can face the tenth-strength army a near-infinite amount of times in practical terms.
The application of an army’s power against an opposing force does not scale linearly with the army’s apparent power. Whenever you increase an army’s strength, you increase its fighting capability by more than what you added. Army strength increases non-linearly.
As of writing this article, I have played only three games of Rise of Nations against human opponents other than my friends. Crucially important in this distinction is that my friends are all less experienced players than me: the friend I have played against the most started playing the game just two months ago. I helped him learn basic economic optimisations (don’t rush a temple on your first city there friendo), serviceable army compositions (anti-tank rifles when facing completely infantry: never again), and other core game concepts.
Until two months ago, I had only played against a human opponent in Rise of Nations once or twice.
First, the strat: use a compact team of Elite Special Forces and Assault Infantry under the cover of a General’s Ambush to instantly capture the enemy’s capital with no warning. Combined with the Super Collider and World Government, this eliminates the enemy player within seconds of your Elite Special Forces becoming visible, and provides no obvious visual or audio queue for your opponent to react to until it’s too late.
Although difficult to accomplish, this is a cheese strat I find quite rewarding to pull off. I imagine it would also be somewhat tilting to lose against, because to some players it’ll feel as though there’s no counter (which for the record I don’t think is true).