Price of Anarchy for Polynomial Wardrop Games

  • Dominic Dumrauf
  • Martin Gairing
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4286)


In this work, we consider Wardrop games where traffic has to be routed through a shared network. Traffic is allowed to be split into arbitrary pieces and can be modeled as network flow. For each edge in the network there is a latency function that specifies the time needed to traverse the edge given its congestion. In a Wardrop equilibrium, all used paths between a given source-destination pair have equal and minimal latency.

In this paper, we allow for polynomial latency functions with an upper bound d and a lower bound s on the degree of all monomials that appear in the polynomials. For this environment, we prove upper and lower bounds on the price of anarchy.


Nash Equilibrium Latency Function Congestion Game Total Latency Parallel Link 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Dominic Dumrauf
    • 1
  • Martin Gairing
    • 1
  1. 1.Faculty of Computer Science, Electrical Engineering and MathematicsUniversity of PaderbornPaderbornGermany

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