Yosi Richter Talk Title: Tradeoffs in worst-case equilibria Absract: We investigate the problem of routing traffic through a congested network in an environment of non-cooperative users. We use the worst-case coordination ratio suggested by Koutsoupias and Papadimitriou to measure the performance degradation due to the lack of a centralized traffic regulating authority. I intend to begin with a survey of the known results and then provide a full characterization of the worst-case coordination ratio in the restricted assignment and unrelated parallel links model. In particular, we quantify the tradeoff between the ``negligibility'' of the traffic controlled by each user and the worst-case coordination ratio. We analyze both pure and mixed strategies systems and identify the range where their performance is similar. Joint work with Baruch Awerbuch, Yossi Azar and Dekel Tsur