Indeed, but the math problem is closed-loop with negative feedback. Furthermore, any synthetic modeling we may attempt to provide will have less fidelity, and more inappropriate dynamics than the real application of market principles.
Current programs to subsidize the industry have no doubt already been justified in light of available models and mathematics.
Our math ain't that good, and our proposed solutions are always worse.
The best use of a government bureaucrat in the fishing industry might be as bait.
ROFL! I propose we rename the Department of Education to the Department of Chum, and let's go fishin'!