Equilibrium routing under uncertainty

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11 Scopus citations


We provide a brief introduction to the basic models used to describe traffic on congested networks, both in urban transport and telecommunications. We discuss traffic equilibrium models, covering atomic and non-atomic routing games, with emphasis on situations where the travel times are subject to random fluctuations. We use convex optimization to present the models in a unified framework that stresses the common underlying structures. As a prototypical example of traffic equilibrium with elastic demands, we discuss some models for routing and congestion control in telecommunications. We also describe a class of stochastic dynamics that model the adaptive behavior of agents and which provides a plausible micro-foundation for the equilibrium. Finally we present some recent ideas on how risk-averse behavior might be incorporated in the equilibrium models.

Original languageEnglish
Article number6
Pages (from-to)117-151
Number of pages35
JournalMathematical Programming
Issue number1
StatePublished - 22 Jun 2015


  • Adaptive dynamics
  • Network congestion
  • Repeated games
  • Risk aversion
  • Routing games
  • Stochastic travel times


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