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Control of Dynamic Financial Networks (The Extended Version)

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  • Giuseppe Calafiore
  • Giulia Fracastoro
  • Anton V. Proskurnikov

Abstract

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.

Suggested Citation

  • Giuseppe Calafiore & Giulia Fracastoro & Anton V. Proskurnikov, 2022. "Control of Dynamic Financial Networks (The Extended Version)," Papers 2205.08879, arXiv.org.
    • Handle: RePEc:arx:papers:2205.08879
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    References listed on IDEAS

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    1. Gerardo Ferrara & Sam Langfield & Zijun Liu & Tomohiro Ota, 2019. "Systemic illiquidity in the interbank network," Quantitative Finance, Taylor & Francis Journals, vol. 19(11), pages 1779-1795, November.
    2. Capponi, Agostino & Chen, Peng-Chu, 2015. "Systemic risk mitigation in financial networks," Journal of Economic Dynamics and Control, Elsevier, vol. 58(C), pages 152-166.
    3. Matthew Elliott & Benjamin Golub & Matthew O. Jackson, 2014. "Financial Networks and Contagion," American Economic Review, American Economic Association, vol. 104(10), pages 3115-3153, October.
    4. Paul Glasserman & H. Peyton Young, 2016. "Contagion in Financial Networks," Journal of Economic Literature, American Economic Association, vol. 54(3), pages 779-831, September.
    5. Leonardo Massai & Giacomo Como & Fabio Fagnani, 2019. "Equilibria and Systemic Risk in Saturated Networks," Papers 1912.04815, arXiv.org, revised Jan 2021.
    6. L. C. G. Rogers & L. A. M. Veraart, 2013. "Failure and Rescue in an Interbank Network," Management Science, INFORMS, vol. 59(4), pages 882-898, April.
    7. Francesca Biagini & Jean‐Pierre Fouque & Marco Frittelli & Thilo Meyer‐Brandis, 2019. "A unified approach to systemic risk measures via acceptance sets," Mathematical Finance, Wiley Blackwell, vol. 29(1), pages 329-367, January.
    8. Larry Eisenberg & Thomas H. Noe, 2001. "Systemic Risk in Financial Systems," Management Science, INFORMS, vol. 47(2), pages 236-249, February.
    9. Shane Barratt & Stephen Boyd, 2020. "Multi-Period Liability Clearing via Convex Optimal Control," Papers 2005.09066, arXiv.org.
    10. Fukker, Gábor & Kok, Christoffer, 2021. "On the optimal control of interbank contagion in the euro area banking system," Working Paper Series 2554, European Central Bank.
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    Cited by:

    1. Feinstein, Zachary & Hałaj, Grzegorz, 2023. "Interbank asset-liability networks with fire sale management," Journal of Economic Dynamics and Control, Elsevier, vol. 155(C).

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