Adrián Carro from Institute for Cross-Disciplinary Physics and Complex Systems, Spain, will present two talks:
Title: "Sustainable development and spatial inhomogeneities: the role of transportation costs"
Authors: Adrián Carro, Gérard Weisbuch
Abstract: We describe a simple agent-based model of a bidimensional spatial economy under the assumption of a limited supply of resources (sustainable development). We use this model to study the consequences of technical choices, like transportation costs or market mechanisms, on the spatial distributions of wealth and production among regions.
Title: "Network effects on an agent-based market model with herding behavior"
Authors: Adrián Carro, Raúl Toral, Maxi San Miguel
Abstract: We propose a new analytical method to study stochastic, binary-state models on complex networks. Moving beyond the usual mean-field theories, this alternative approach is based on the introduction of an annealed approximation for uncorrelated networks, allowing to deal with the network structure as parametric heterogeneity. As an illustration, we study the Kirman model for herding behavior in financial markets. The proposed method is able to unfold the dependence of the model not only on the mean degree (the mean-field prediction) but also on more complex averages over the degree distribution. In particular, we find that the degree heterogeneity —variance of the underlying degree distribution— has a strong influence on the location of the critical point of a noise-induced, finite-size transition occurring in the model, on the local ordering of the system, and on the functional form of its temporal correlations. Finally, we show how this latter point opens the possibility of inferring the degree heterogeneity of the underlying network by observing only the aggregate behavior of the system as a whole, an issue of interest for systems where only macroscopic, population level variables can be measured.