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.