Robert Aumann (Hebrew University of Jerusalem) and Thomas Schelling (University of Maryland) "for having enhanced our understanding of conflict and cooperation through game-theory analysis."
Quoting again from the nobelprize.org:
Why do some groups of individuals, organizations and countries succeed in promoting cooperation while others suffer from conflict? The work of Robert Aumann and Thomas Schelling has established game theory – or interactive decision theory – as the dominant approach to this age-old question.This is not the first Nobel award for work on game theory. In 1994 John C. Harsanyi, Reinhard Selten, and John F. Nash Jr. won "for their pioneering analysis of equilibria in the theory of non-cooperative games." John Nash might sound familiar to you as his life was portrayed by Russell Crowe in the Academy Award winning A Beautiful Mind.
By the way, no one submitted either of the 2005 winners as part of my forecasting game. Better luck next year.