Article,

Liaisons Dangereuses: Increasing Connectivity, Risk Sharing, and Systemic Risk

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National Bureau of Economic Research Working Paper Series, (January 2009)

Abstract

Author contact info: Stefano Battiston Chair of Systems Design, ETH Zurich KPL F27.2, Kreuzplatz 5 CH-8032 Zurich SWITZERLAND E-Mail: sbattiston@ethz.ch Domenico Delli Gatti Istituto di Teoria Economica Università Cattolica Largo Gemelli, 1 20123 Milano E-Mail: domenico.delligatti@unicatt.it Mauro Gallegati Dipartimento di Economia Facolta' di Economia Giorgio Fua' Universita' Politecnica delle Marche Piazzale Martelli, 8 60121 Ancona E-Mail: mauro.gallegati@univpm.it Bruce C. Greenwald Columbia University 611 Uris Hall New York, NY 10027 E-Mail: bg7@columbia.edu Joseph E. Stiglitz Uris Hall, Columbia University 3022 Broadway, Room 814 New York, NY 10027 Tel: 212/854-0671 Fax: 212/662-8474 E-Mail: jes322@columbia.edu We characterize the evolution over time of a network of credit relations among financial agents as a system of coupled stochastic processes. Each process describes the dynamics of individual financial robustness, while the coupling results from a network of liabilities among agents. The average level of risk diversification of the agents coincides with the density of links in the network. In addition to a process of diffusion of financial distress, we also consider a discrete process of default cascade, due to the re-evaluation of agents' assets. In this framework we investigate the probability of individual defaults as well as the probability of systemic default as a function of the network density. While it is usually thought that diversification of risk always leads to a more stable financial system, in our model a tension emerges between individual risk and systemic risk. As the number of counterparties in the credit network increases beyond a certain value, the default probability, both individual and systemic, starts to increase. This tension originates from the fact that agents are subject to a financial accelerator mechanism. In other words, individual financial fragility feeding back on itself may amplify the effect of an initial shock and lead to a full fledged systemic crisis. The results offer a simple possible explanation for the endogenous emergence of systemic risk in a credit network.

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