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On a mean field game approach modeling congestion and aversion in pedestrian crowds
16 references·8 citing·29 second hop
On a mean field game approach modeling congestion and aversion in pedestrian crowds (2011)On a mean field game approach modeling co…Mean Field Games: Numerical Methods (2010)Mean Field Games: Numerical M…Pedestrian, Crowd and Evacuation Dynamics (2009)Pedestrian, Crowd and Evacuat…Mean field games (2007)Mean field gamesJeux à champ moyen. II – Horizon fini et contrôle optimal (2006)Jeux à champ moyen. II – Hori…Jeux à champ moyen. I – Le cas stationnaire (2006)Jeux à champ moyen. I – Le ca…Simulation of pedestrian crowds in normal and evacuation situations (2002)Simulation of pedestrian crow…Pedestrian and evacuation dynamics (2002)Pedestrian and evacuation dyn…A continuum theory for the flow of pedestrians (2002)A continuum theory for the fl…Social force model for pedestrian dynamics (1995)Social force model for pedest…A mathematical model for the behavior of pedestrians (1991)A mathematical model for the …Rational Expectations and Econometric Practice (1984)Rational Expectations and Eco…Concepts and Models of a Quantitative Sociology (1983)Concepts and Models of a Quan…On the fluid mechanics of human crowd motion (1974)On the fluid mechanics of hum…The Statistics of Crowd Fluids (1971)The Statistics of Crowd FluidsMarkets with a Continuum of Traders (1964)Markets with a Continuum of T…Rational Expectations and the Theory of Price Movements (1961)Rational Expectations and the…Review of Pedestrian Trajectory Prediction Methods: Comparing Deep Learning and Knowledge-Based Approaches (2022)Review of Pedestrian Trajecto…Collective phenomena in crowds—Where pedestrian dynamics need social psychology (2017)Collective phenomena in crowd…A review of optimisation models for pedestrian evacuation and design problems (2016)A review of optimisation mode…From Mindless Masses to Small Groups: Conceptualizing Collective Behavior in Crowd Modeling (2015)From Mindless Masses to Small…Dynamic stride length adaptation according to utility and personal space (2015)Dynamic stride length adaptat…Mean field games with nonlinear mobilities in pedestrian dynamics (2014)Mean field games with nonline…Macroscopic modeling and simulations of room evacuation (2014)Macroscopic modeling and simu…MODELING CROWD DYNAMICS FROM A COMPLEX SYSTEM VIEWPOINT (2012)MODELING CROWD DYNAMICS FROM …Field Theory in Social Science (1953)The Evolution of Cooperation (1981)Discrete choice models of pedestrian walking behavior (2005)Self-Organized Pedestrian Crowd Dynamics: Experiments, Simulations, and Design Solutions (2005)Modeling crowd evacuation of a building based on seven methodological approaches (2008)Nash Equilibria of Games with a Continuum of Players (2006)Towards a self-consistent theory of volatility (2006)Mean Field Games and Applications (2010)The Pricing of Options and Corporate Liabilities (1973)Theory of Rational Option Pricing (1973)Continuous Auctions and Insider Trading (1985)Probabilistic Analysis of Mean-Field Games (2013)Income and Wealth Distribution in Macroeconomics: A Continuous-Time Approach (2021)Pedestrian route-choice and activity scheduling theory and models (2003)Continuum crowds (2006)The Analysis of Economic Time-Series-Part I: Prices (1953)Optimal Properties of Exponentially Weighted Forecasts (1960)The Economic Implications of Learning by Doing (1971)Econometric policy evaluation: A critique (1976)Rules Rather than Discretion: The Inconsistency of Optimal Plans (1977)Theory of Value (1959)Indivisible labor, lotteries and equilibrium (1988)Existence of an equilibrium for a competitive economy (2008)Field Theory in Social Science (1952)Simulating dynamical features of escape panic (2000)Simulation of pedestrian dynamics using a two-dimensional cellular automaton (2001)How simple rules determine pedestrian behavior and crowd disasters (2011)Simulation of evacuation processes using a bionics-inspired cellular automaton model for pedestrian dynamics (2002)The fundamental diagram of pedestrian movement revisited (2005)
this work references cited by second hop

References

  • 1995Social force model for pedestrian dynamics6,870 cited
  • 1961Rational Expectations and the Theory of Price Movements5,639 cited
  • 2007Mean field games2,638 cited
  • 1964Markets with a Continuum of Traders1,209 cited
  • 2002A continuum theory for the flow of pedestrians1,086 cited
  • 2002Pedestrian and evacuation dynamics1,018 cited
  • 2006Jeux à champ moyen. I – Le cas stationnaire965 cited
  • 2006Jeux à champ moyen. II – Horizon fini et contrôle optimal810 cited
  • 2002Simulation of pedestrian crowds in normal and evacuation situations784 cited
  • 1971The Statistics of Crowd Fluids655 cited
  • 2009Pedestrian, Crowd and Evacuation Dynamics443 cited
  • 1983Concepts and Models of a Quantitative Sociology427 cited
  • 1984Rational Expectations and Econometric Practice394 cited
  • 1974On the fluid mechanics of human crowd motion386 cited
  • 2010Mean Field Games: Numerical Methods328 cited
  • 1991A mathematical model for the behavior of pedestrians326 cited

Cited by

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  • 2016A review of optimisation models for pedestrian evacuation and design problems254 cited
  • 2022Review of Pedestrian Trajectory Prediction Methods: Comparing Deep Learning and Knowledge-Based Approaches183 cited
  • 2012MODELING CROWD DYNAMICS FROM A COMPLEX SYSTEM VIEWPOINT163 cited
  • 2017Collective phenomena in crowds—Where pedestrian dynamics need social psychology141 cited
  • 2014Macroscopic modeling and simulations of room evacuation125 cited
  • 2015From Mindless Masses to Small Groups: Conceptualizing Collective Behavior in Crowd Modeling119 cited
  • 2014Mean field games with nonlinear mobilities in pedestrian dynamics111 cited
  • 2015Dynamic stride length adaptation according to utility and personal space105 cited