As soon as the number of options to choose from is equal to or greater than three, and the number of criteria considered relevant is at least two, no satisfactory global decision function, in the sense of a function satisfying all five requirements mentioned, can be found.

--- Maarten Franssen. Arrow’s theorem, multi-criteria decision problems and multi-attribute preferences in engineering design. 2005. DOI 10.1007/s00163-004-0057-5