That was the old days; I am saying this is no longer the case.
What can three carriers bring? More planes.
But modern missiles are superior to planes: they are faster and more maneuverable. Thus, the air-to-air battle can be won by SAMs, supported by cueing from an AWACS.
At long range, missiles spend most of their time unpowered, so they can't manoeuvre much.
So an aircraft has time to leave the NEZ of a missile.
Suppose the US wants to attack a Chinese fleet with three carriers while China has only one. US carriers launch planes to win the air superiority battle. However, those planes need to get close enough to launch their AMRAAMs. Ship-based SAMs have a longer range than those planes. They just need a sensor to cue them toward those planes. An AWACS launched from the one carrier can do that.
HQ-9 SAMs have a maximum range of 300km.
However, the radar horizon is 400km
Anti-ship missiles have an even longer range.
So the air battle will happen beyond the range of ship-launched SAMs.
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Having said that, if you look at carrier group formations, the plan is to have picket destroyers on the threat axis, in order to catch out aircraft. But if you have a 3:1 advantage in aircraft, you can take your time and systematically destroy ships from beyond SAM range, before you eventually reach the carrier.
Moreover, those three carriers need to get close to launch their planes. China has hypersonic missiles in ship VLS that are longer-ranged and can be launched from ships. Therefore, carriers can be attacked before they can even get close.
For both offense and defense, ships can launch missiles that can defeat carrier-based planes. Consequently, you don't need too many carriers to achieve naval dominance anymore. Yes, you do need some to launch ISR planes, but one can beat three if the ship-based missiles are good and you have enough destroyers to launch those missiles.
You still have to detect the opposing carriers.
If the opposing side can shoot down all the opposing aircraft, then the missiles don't have a target.
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At the moment, it's ISR aircraft detecting and tracking opposing ships.
But note that the US is not replacing its E-3 AWACs. Instead they are placing their hopes on a space-based surveillance system.
If this works, all surface ships (and indeed, everything) in the world will be under constant surveillance.
So in a blue-water battle, if a side has 3x the naval aviation, they can always stay beyond 1500km YJ-21 ASBM range.
They can then plan for very long range air sorties with airborne refuelling. Given they have 3x the naval aviation, they will still have a significant advantage in numbers.