Jean-Pierre Nadal: Modeling urban social dynamics??

Premier atelier de l'ERC « Reaction-Diffusion Equations,Propagations and Modelling »      Journées d'étude organisées par Henri Berestycki et Jean-Michel Roquejoffre    EHESS,24-25 septembre 2013  Jean-Pierre Nadal  Modeling urban social dynamics  I will present models recently introduced for the modeling of social dynamics in urban context: social segregation,diffusion of criminality. In both cases,individual decisions (such as,respectively,to buy an appartment at a particular location,to commit a crime),may strongly depend on the behaviour/decisions of others.  Based on social theories and empirical data,we consider family of models in which  agents behaviour is coupled to a spatio-temporal field (representing,e.g.,the attractiveness of the appartments,the local expected payoff of a theft or local propensity to commit a crime),which depends itself on the agents behaviours/choices (the social composition of the neighborhood,the local criminality level). We instantiate these models as either agent-based systems or a set of partial diffusion equations. The goal is to explain collective patterns. I will present results for specific cases,a model of the housing market in Paris,and/or a model for the formation of criminal hotspots. References : Laetitia Gauvin,Annick Vignes and Jean-Pierre Nadal Modeling urban housing market dynamics: can the socio-spatial segregation preserve some social diversity? Journal of Economic Dynamics and Control (JEDC),Volume 37,Issue 7,July 2013,Pages 1300-1321.  Henri Berestycki and Jean-Pierre Nadal Self-Organized Critical Hot Spots of Criminal Activity European Journal of Applied Mathematics,Volume 21,Special Double Issue 4-5,Oct 2010,pp 371-399.

Disciplines : Mathématiques,Analyse
Mots-clés : combinatoire,informatique,probabilité,EHESS
Type de document : image en mouvement
Type de ressource : lecture
Niveau : higher education
Auteurs ou éditeurs : Direction de l'Audiovisuel de l'EHESS (Dir. Jean-Claude Penrad),Philippe KERGRAISSE,Jean-Pierre Nadal