Monotone Preferences over Information
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.
Dubra, Juan and Echenique, Federico, "Monotone Preferences over Information" (2001). Cowles Foundation Discussion Papers. 1551.