Title: Computational Issues of Nucleolus Speaker: Deng Xiaotie City U of Hong Kong Date: Friday Nov 11, 2005 Time 11-12 Venue: Room 3464, HKUST Abstract Nucleolus has been credited by Aumann and Maschler as the solution concept for the Talmud rule in two thousand years ago for bankruptcy problems, even though it was formally defined by Schmeidler in less than forty years ago. We develop algorithmic results for the computation of nucleolus. In particular, we find a polynomial time algorithm for finding the nucleolus of a flow game, thus answering a twenty three years old open problem proposed by Kalai and Zemel.