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Control of Dynamic Financial Networks (The Extended Version)

Author
Giuseppe Calafiore, Giulia Fracastoro, Anton V. Proskurnikov
Date Updated
2022/05/19
Category
math.OC
Date Published
2022/05/18
Date Retrieved
2022/05/19
Description
The current global financial system forms a highly interconnected network where a default in one of its nodes can propagate to many other nodes, causing a catastrophic avalanche effect. In this paper we consider the problem of reducing the financial contagion by introducing some targeted interventions that can mitigate the cascaded failure effects. We consider a multi-step dynamic model of clearing payments and introduce an external control term that represents corrective cash injections made by a ruling authority. The proposed control model can be cast and efficiently solved as a linear program. We show via numerical examples that the proposed approach can significantly reduce the default propagation by applying small targeted cash injections.
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URL
https://arxiv.org/abs/2205.08879
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