Contagion! Systemic Risk in Financial Networks

This volume presents a unified mathematical framework for the transmission channels for damaging shocks that can lead to instability in financial systems. As the title suggests, financial contagion is analogous to the spread of disease, and damaging financial crises may be better understood by bringing to bear ideas from studying other complex systems in our world. After considering how people have viewed financial crises and systemic risk in the past, it delves into the mechanics of the interactions between banking counterparties. It finds a common mathematical structure for types of crises that proceed through cascade mappings that approach a cascade equilibrium. Later chapters follow this theme, starting from the underlying random skeleton graph, developing into the theory of bootstrap percolation, ultimately leading to techniques that can determine the large scale nature of contagious financial cascades.

Extends exciting methods of network science to the problem of global financial stability A unique example of how mathematics can address a major social phenomenon Methods for analyzing and simulating complex cascading behaviour in real world networks Includes supplementary material: sn.pub/extras

Inhalt
Systemic Risk Basics.- Static Cascade Models.- Random Graph Models.- Percolation and Cascades.- Zero Recovery Default Cascades.- Future Directions for Cascade Models.- Background Material.- References.- Index.