Evolutionary Game Theory with Applications to Adaptive Routing Simon Fischer and Berthold Vöcking One of the most important problems in large communication networks like the Internet is the problem of routing traffic through the network. Current Internet technology based on the TCP protocol does not route traffic adaptively to the injection rates but uses fixed end-to-end routes and adjusts only the injection rates in order to avoid congestion. A more flexible approach uses load-adaptive rerouting policies that reconsider their routing strategies from time to time depending on the current network traffic. In this manuscript, we survey recent results from [FV04] and [FV05] about the application of methods from evolutionary game theory to such an adaptive traffic management. Key words: Evolutionary game theory, Wardrop model, adaptive routing, stale information, analysis and dynamics of complex networks