We review classic results and recent progress on equilibrium analysis, dynamics, and
optimal interventions in network games with both continuous and discrete strategy sets. We …

We derive rigorous asymptotic results for the magnitude of contagion in a large counterparty
network and give an analytical expression for the asymptotic fraction of defaults, in terms of …

Bootstrap percolation on the random graph G_n,p is a process of spread of “activation” on a
given realization of the graph with a given number of initially active nodes. At each step …

The spread of new ideas, behaviors or technologies has been extensively studied using
epidemic models. Here we consider a model of diffusion where the individualsʼ behavior is …

We propose a framework for testing the possibility of large cascades in financial networks.
This framework accommodates a variety of specifications for the probabilities of emergence …

A bootstrap percolation process on a graph GG is an “infection” process which evolves in
rounds. Initially, there is a subset of infected nodes and in each subsequent round each …

Motivated by the analysis of social networks, we study a model of random networks that has
both a given degree distribution and a tunable clustering coefficient. We consider two types …

Recent experimental studies of living neural networks reveal that their global activation
induced by electrical stimulation can be explained using the concept of bootstrap …

The spread of new beliefs, behaviors, conventions, norms, and technologies in social and
economic networks are often driven by cascading mechanisms, and so are contagion …

We study a simple model of how social behaviors, like trends and opinions, propagate in
networks where individuals adopt the trend when they are informed by threshold T …