The very existence of map corners is problematic. They don't make lore-sense and are literally AI corner cases.
But AI could counter that by waiting for you just outside of CR decay radius, thus making stalemate yours to resolve.
Or if they have enough mass to make you tick, put exactly enough ships at max CR decay range to either successfully bait you or win by CR.
There is usually counter-cheese available, as long as one wants to look for it...
They wait outside the radius, until you move just enough for them to decide they can swarm you safely, then you immediately backpedal. They will get close and fire a few shots, but if your ship is something like a Paragon, they have little chance of breaching your defenses on time, and then they retreat when they see you withdraw back into your corner. I repeat this as long as my ship has peak performance. As long as I have more time then them, I win. It is a slow win, but it is very efficient in terms of resources spent (if you need to deploy all to stand a chance otherwise).
Also, the player can limit the number of ships by lowering battle map size to the minimum of 150. Unless the enemy sends two cruisers or a capital against your capital, your peak performance cannot tick down because the enemy does not send enough small ships to make your ship tick down.
Actually, if the player lowers battle map size for any reason, he may be forced to solo fleets since 60 DP is only enough for a Paragon and one other 10 DP ship, and that 10 DP wingman will probably die.
If my peak performance expires, I simply full retreat and start over for round two (or three or more) until the enemy is defeated. The enemy will lose CR for more ships than my one.
Normally, I like to play with max battle size, but if there is superior fleet I cannot beat fairly, and the enemy AI annoys me too much because they do not stand and fight, I throw their cheese right back at the AI, and I can outcheese the AI.