If anything, Bitcoin should get a nobel prize, not Satoshi. Certainly Satoshi deserves credit, but he doesn't want it, doesn't need it, and had plenty of help along the way. Makes more sense to give the prize to Bitcoin. It can be done, irregardless of Nobel prize requirements - which I'd add would be perfectly in line with Bitcoin's nature of breaking through traditional requirements of finance. 
AFAIK it's the inventors that get awarded not inventions.
There's really no way to contact Satoshi and let him know about it, also no way to send him the reward if he ever wins.
Also this: Chowdhry has thought about the logistics, saying he’d be happy to accept the prize on behalf of the mysterious Nakamoto
https://qz.com/545949/satoshi-nakamoto-anonymous-creator-of-bitcoin-is-nominated-for-a-nobel-prize-in-economics/
This guy's making himself a proxy for someone he doesn't know and never contacted.