Choose from options: Determine if the sentence is true based on the text below:
All winners in this case were college professors 

Winning Team John C. Harsanyi, John F. Nash and Reinhard Selten were jointly awarded the Nobel Prize in Economics. The three professors were singled out for their unique contributions to game theory, derived from studies of games such as poker or chess, in which players have to think ahead and devise a strategy based on expected countermoves from opponents.
OPT:
[I] Yes;
[II] It's impossible to say;
[III] No;