Modeling tagged pedestrian motion: A mean-field type game approach

Alexander Aurell, Boualem Djehiche

Research output: Contribution to journalArticlepeer-review


This paper suggests a model for the motion of tagged pedestrians: Pedestrians moving towards a specified targeted destination, which they are forced to reach. It aims to be a decision-making tool for the positioning of fire fighters, security personnel and other services in a pedestrian environment. Taking interaction with the surrounding crowd into account leads to a differential nonzero-sum game model where the tagged pedestrians compete with the surrounding crowd of ordinary pedestrians. When deciding how to act, pedestrians consider crowd distribution-dependent effects, like congestion and crowd aversion. Including such effects in the parameters of the game, makes it a mean-field type game. The equilibrium control is characterized, and special cases are discussed. Behavior in the model is studied by numerical simulations.

Original languageEnglish (US)
Pages (from-to)168-183
Number of pages16
JournalTransportation Research Part B: Methodological
StatePublished - Mar 2019


  • Backward-forward stochastic differential equations
  • Congestion
  • Crowd aversion
  • Evacuation planning
  • Mean-field type games
  • Pedestrian dynamics

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Transportation


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