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SOE: Fachverband Physik sozio-ökonomischer Systeme
SOE 8: Poster
SOE 8.19: Poster
Montag, 16. März 2015, 18:00–20:00, Poster E
A Bayesian model for the propagation of social norms and identity formation — •Leonhard Horstmeyer1, Francesca Lipari2, Alireza Goudarzi3, and Brais Alvarez4 — 1MPI for Mathematics in the Sciences — 2University of Pennsylvania — 3University of New Mexico — 4European University Institute
We develop a dynamical agent-based model for identity formation in the presence of descriptive norms in order to address questions of social mobility.
Agents are endowed with a social identity and beliefs thereon, subjected to updating rules. We introduce a social payoff function as a map from the identity space to a discrete valued payoff space. Agents form beliefs about these functions, modelled as probability distributions. Each agent observes other agents’ identities as a proxy for their beliefs and updates its own belief via a Bayesian rule. They assume a new identiy whenever it is accessible and the expected social payoff gain succeeds a threshold τ. Agents are also subjected to an external source, modelled as a probability distribution over the social payoff functions. These are then integrated into the updating process through a convex combination with parameter λ. We study social mobility on the (τ,λ)-parameter space and find that a linear relation separates a mobile and an immobile phase.