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

Alexander Aurell; Boualem Djehiche

doi:10.1016/j.trb.2019.01.011

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

Alexander Aurell, Boualem Djehiche

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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 language	English (US)
Pages (from-to)	168-183
Number of pages	16
Journal	Transportation Research Part B: Methodological
Volume	121
DOIs	https://doi.org/10.1016/j.trb.2019.01.011
State	Published - Mar 2019

Keywords

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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10.1016/j.trb.2019.01.011

Cite this

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title = "Modeling tagged pedestrian motion: A mean-field type game approach",

abstract = "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.",

keywords = "Backward-forward stochastic differential equations, Congestion, Crowd aversion, Evacuation planning, Mean-field type games, Pedestrian dynamics",

author = "Alexander Aurell and Boualem Djehiche",

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doi = "10.1016/j.trb.2019.01.011",

language = "English (US)",

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AU - Djehiche, Boualem

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N2 - 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.

AB - 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.

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KW - Congestion

KW - Crowd aversion

KW - Evacuation planning

KW - Mean-field type games

KW - Pedestrian dynamics

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

Abstract

Keywords

ASJC Scopus subject areas

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