We are talking about the "Sveriges Riksbank Prize in Economic Sciences in Memory of Alfred Nobel" and not one of the Nobel Prizes that were established by Alfred Nobel. Alfred Nobel didn't thought that economics was a discipline that needed a prize and his descendants sued over this dispute.
Saying "Sveriges Riksbank Prize in Economic Sciences in Memory of Alfred Nobel" is a bit long so I go for a shorter version and if I would say Sveriges Riksbank Prize nobody would know what I'm talking about. By using the quotes around "nobel prize" I mark that I'm uncomfortable with calling the prize as it were one of the regular nobel prizes but I still have a short phrase that's recognizable by my audience.
IIRC I've seen it referred to as Nobel Memorial Prize, which might be a decent compromise.
This is prompted by Scott's excellent article, Meditations on Moloch.
I might caricature (grossly unfairly) his post like this: