Ressource pédagogique : Jean-Pierre Nadal: Modeling urban social dynamics??

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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.

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• Mathématiques (510)
• Analyse (515)

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