We study optimal pricing strategies and consequent market shares' dynamics in a transition from an old and established technology to a new one. We simulate an agentbased model, in which a large population of possible buyers decide whether to adopt or not depending on prices, private signals and...

We study optimal pricing strategies and consequent market shares' dynamics in a transition from an old and established technology to a new one. We simulate an agent based model, in which a large population of possible buyers decide whether to adopt or not depending on prices, private signals and...

Inspired by the classical riot model proposed by Granovetter in 1978, we consider a parametric stochastic dynamical system describing the collective behavior of a large population of interacting agents. By controlling a parameter, a policy maker aims at maximizing her own utility which, in turn,...

The objective of this paper is to provide an analytical framework to study the whole process of diffusion of innovations, new products or ideas: we take into account knowledge transfer in a complex society, decisional process for adoption and key features in the spread of new technologies. For...

In the context of diffusion of innovations, we propose a probabilistic model based on interacting populations connected through new communication channels. The potential adopters are heterogeneous in the connectivity levels and in their taste for innovation. The proposed framework can model the...

Using particle system methodologies we study the propagation of financial distress in a network of firms facing credit risk. We investigate the phenomenon of a credit crisis and quantify the losses that a bank may suffer in a large credit portfolio. Applying a large deviation principle we...

In this paper we propose a simple binary mean field game, where N agents may decide whether to trade or not a share of a risky asset in a liquid market. The asset's returns are endogenously determined taking into account demand and transaction costs. Agents' utility depends on the aggregate...

The objective of this paper is to provide an analytical framework to study the whole process of diffusion of innovations, new products or ideas: we take into account knowledge transfer in a complex society, decisional process for adoption and key features in the spread of new technologies. For...

In this paper we propose a simple binary mean field game, where N agents may decide whether to trade or not a share of a risky asset in a liquid market. The asset's returns are endogenously determined taking into account demand and transaction costs. Agents' utility depends on the aggregate...