Friday, Nov 13, 2009, 11-12 Room # 3315 Yajun Wang Microsoft Research Asia Approximate Mechanism Design for the Facility Game We consider the facility game where the planner is building facilities while agents report their locations. The cost of the agents are measured by the distance from their locations to the closest facility. Truthful mechanisms, e.g., those mechanisms that no agent can manipulate to improve its utility, are not socially optimal when the number of facilities are greater than 1. In this talk, we first give a linear lower bound of the approximation ratio for the deterministic mechanisms of the two facility game. Then we show a randomized mechanism that achieves constant approximation ratio. Previous works only have constant lower bound and linear upper bound for both deterministic and randomized mechanisms. This is a joint work with Pinyan Lu, Yuan Zhou, Zeyuan Zhu