We consider preference relations over information that are monotone: more information is preferred to less. We prove that, if a preference relation on information about an uncountable set of states of nature is monotone, then it is not representable by a utility function

It is well known that when players have private information, vis a vis the designer, and their preferences coincide it is hard to implement the socially desirable outcome. We show that with arbitrarily small fines and arbitrarily noisy inspections, the social choice correspondence can be fully...