IDEAS home Printed from https://ideas.repec.org/p/has/discpr/1603.html
   My bibliography  Save this paper

Decentralized Clearing in Financial Networks

Author

Listed:
  • Peter Csoka

    (Momentum Game Theory Research Group - Centre for Economic and Regional Studies, Hungarian Academy of Sciences and Corvinus University of Budapest - Corvinus Business School, Department of Finance)

  • P. Jean-Jacques Herings

    (Department of Economics, Maastricht university, The Netherlands)

Abstract

We consider a situation in which agents have mutual claims on each other, summarized in a liability matrix. Agents' assets might be insufficient to satisfy their liabilities leading to defaults. We assume the primitives to be denoted in some unit of account. In case of default, bankruptcy rules are used to specify the way agents are going to be rationed. We present a convenient representation of bankruptcy rules. A clearing payment matrix is a payment matrix consistent with the prevailing bankruptcy rules that satisfies limited liability and priority of creditors. Both clearing payment matrices and the corresponding values of equity are not uniquely determined. We provide bounds on the possible levels equity can take. We analyze decentralized clearing processes and show the convergence of any such process in finitely many steps to the least clearing payment matrix. When the unit of account is sufficiently small, all decentralized clearing processes lead essentially to the same value of equity as a centralized clearing procedure. As a policy implication, it is not necessary to collect and process all the sensitive data of all the agents simultaneously and run a centralized clearing procedure.

Suggested Citation

  • Peter Csoka & P. Jean-Jacques Herings, 2016. "Decentralized Clearing in Financial Networks," CERS-IE WORKING PAPERS 1603, Institute of Economics, Centre for Economic and Regional Studies.
    • Handle: RePEc:has:discpr:1603
    as

    Download full text from publisher

    File URL: http://econ.core.hu/file/download/mtdp/MTDP1603.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Péter Csóka & P. Jean-Jacques Herings, 2021. "An Axiomatization of the Proportional Rule in Financial Networks," Management Science, INFORMS, vol. 67(5), pages 2799-2812, May.
    2. Gabrielle Demange, 2018. "Contagion in Financial Networks: A Threat Index," Management Science, INFORMS, vol. 64(2), pages 955-970, February.
    3. Kaminski, Marek M., 2000. "'Hydraulic' rationing," Mathematical Social Sciences, Elsevier, vol. 40(2), pages 131-155, September.
    4. J. Randall Brown, 1979. "The Sharing Problem," Operations Research, INFORMS, vol. 27(2), pages 324-340, April.
    5. Gai, Prasanna & Kapadia, Sujit, 2010. "Contagion in financial networks," Bank of England working papers 383, Bank of England.
    6. Grimmett, Geoffrey R., 2012. "European apportionment via the Cambridge Compromise," Mathematical Social Sciences, Elsevier, vol. 63(2), pages 68-73.
    7. Daron Acemoglu & Asuman Ozdaglar & Alireza Tahbaz-Salehi, 2015. "Systemic Risk and Stability in Financial Networks," American Economic Review, American Economic Association, vol. 105(2), pages 564-608, February.
    8. Thomson, William, 2003. "Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: a survey," Mathematical Social Sciences, Elsevier, vol. 45(3), pages 249-297, July.
    9. Helmut Elsinger & Alfred Lehar & Martin Summer, 2006. "Risk Assessment for Banking Systems," Management Science, INFORMS, vol. 52(9), pages 1301-1314, September.
    10. Siwei Chen, 2015. "Systematic favorability in claims problems with indivisibilities," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 44(2), pages 283-300, February.
    11. Hervé Moulin & Richard Stong, 2002. "Fair Queuing and Other Probabilistic Allocation Methods," Mathematics of Operations Research, INFORMS, vol. 27(1), pages 1-30, February.
    12. 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.
    13. Hervé Moulin, 2000. "Priority Rules and Other Asymmetric Rationing Methods," Econometrica, Econometric Society, vol. 68(3), pages 643-684, May.
    14. William Thomson, 2013. "Game-Theoretic Analysis Of Bankruptcy And Taxation Problems: Recent Advances," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 15(03), pages 1-14.
    15. Agostino Capponi & Peng-Chu Chen & David D. Yao, 2016. "Liability Concentration and Systemic Losses in Financial Networks," Operations Research, INFORMS, vol. 64(5), pages 1121-1134, October.
    16. Hervé Moulin & Jay Sethuraman, 2013. "The Bipartite Rationing Problem," Operations Research, INFORMS, vol. 61(5), pages 1087-1100, October.
    17. Thomson, William, 2015. "Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: An update," Mathematical Social Sciences, Elsevier, vol. 74(C), pages 41-59.
    18. Shin, Hyun Song, 2008. "Risk and liquidity in a system context," Journal of Financial Intermediation, Elsevier, vol. 17(3), pages 315-329, July.
    19. Umut Mert Dur & M. Utku Ünver, 2019. "Two-Sided Matching via Balanced Exchange," Journal of Political Economy, University of Chicago Press, vol. 127(3), pages 1156-1177.
    20. Glasserman, Paul & Young, H. Peyton, 2015. "How likely is contagion in financial networks?," Journal of Banking & Finance, Elsevier, vol. 50(C), pages 383-399.
    21. 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.
    22. Groote Schaarsberg, M. & Reijnierse, J.H. & Borm, P.E.M., 2013. "On Solving Liability Problems," Discussion Paper 2013-033, Tilburg University, Center for Economic Research.
    23. Rodrigo Cifuentes & Hyun Song Shin & Gianluigi Ferrucci, 2005. "Liquidity Risk and Contagion," Journal of the European Economic Association, MIT Press, vol. 3(2-3), pages 556-566, 04/05.
    24. Helmut Elsinger & Alfred Lehar & Martin Summer, 2006. "Using Market Information for Banking System Risk Assessment," International Journal of Central Banking, International Journal of Central Banking, vol. 2(1), March.
    25. Carmen Herrero & Ricardo Martínez, 2008. "Balanced allocation methods for claims problems with indivisibilities," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 30(4), pages 603-617, May.
    26. Larry Eisenberg & Thomas H. Noe, 2001. "Systemic Risk in Financial Systems," Management Science, INFORMS, vol. 47(2), pages 236-249, February.
    27. Neil Malhotra & Connor Raso, 2007. "Racial Representation and U.S. Senate Apportionment," Social Science Quarterly, Southwestern Social Science Association, vol. 88(4), pages 1038-1048, December.
    28. Paul Glasserman & Peyton Young, 2015. "Contagion in Financial Networks," Economics Series Working Papers 764, University of Oxford, Department of Economics.
    29. Umut Mert Dur & M. Utku Unver, 2015. "Two-Sided Matching via Balanced Exchange: Tuition and Worker Exchanges," Koç University-TUSIAD Economic Research Forum Working Papers 1508, Koc University-TUSIAD Economic Research Forum.
    30. Chen Chen & Garud Iyengar & Ciamac C. Moallemi, 2013. "An Axiomatic Approach to Systemic Risk," Management Science, INFORMS, vol. 59(6), pages 1373-1388, June.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Csoka, Péter & Herings, P. Jean-Jacques, 2016. "Decentralized Clearing in Financial Networks (RM/16/005-revised-)," Research Memorandum 037, Maastricht University, Graduate School of Business and Economics (GSBE).
    2. Péter Csóka & P. Jean-Jacques Herings, 2021. "An Axiomatization of the Proportional Rule in Financial Networks," Management Science, INFORMS, vol. 67(5), pages 2799-2812, May.
    3. Csóka, Péter, 2017. "Az arányos csődszabály karakterizációja körbetartozások esetén [The characterization of the proportional rule in the case of circular liabilities]," Közgazdasági Szemle (Economic Review - monthly of the Hungarian Academy of Sciences), Közgazdasági Szemle Alapítvány (Economic Review Foundation), vol. 0(9), pages 930-942.
    4. Hamed Amini & Zachary Feinstein, 2020. "Optimal Network Compression," Papers 2008.08733, arXiv.org, revised Jul 2022.
    5. Nan Chen & Xin Liu & David D. Yao, 2016. "An Optimization View of Financial Systemic Risk Modeling: Network Effect and Market Liquidity Effect," Operations Research, INFORMS, vol. 64(5), pages 1089-1108, October.
    6. Marco Bardoscia & Paolo Barucca & Stefano Battiston & Fabio Caccioli & Giulio Cimini & Diego Garlaschelli & Fabio Saracco & Tiziano Squartini & Guido Caldarelli, 2021. "The Physics of Financial Networks," Papers 2103.05623, arXiv.org.
    7. Bardoscia, Marco & Barucca, Paolo & Codd, Adam Brinley & Hill, John, 2019. "Forward-looking solvency contagion," Journal of Economic Dynamics and Control, Elsevier, vol. 108(C).
    8. Csóka, Péter & Herings, P. Jean-Jacques, 2021. "Uniqueness of Clearing Payment Matrices in Financial Networks," Research Memorandum 014, Maastricht University, Graduate School of Business and Economics (GSBE).
    9. Amini, Hamed & Feinstein, Zachary, 2023. "Optimal network compression," European Journal of Operational Research, Elsevier, vol. 306(3), pages 1439-1455.
    10. Nicolas Houy & Frédéric Jouneau & François Le Grand, 2020. "Defaulting firms and systemic risks in financial networks: a normative approach," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 70(2), pages 503-526, September.
    11. Gabrielle Demange, 2018. "Contagion in Financial Networks: A Threat Index," Management Science, INFORMS, vol. 64(2), pages 955-970, February.
    12. Ebrahimi Kahou, Mahdi & Lehar, Alfred, 2017. "Macroprudential policy: A review," Journal of Financial Stability, Elsevier, vol. 29(C), pages 92-105.
    13. Spiros Bougheas & Adam Hal Spencer, 2022. "Fire sales and ex ante valuation of systemic risk: A financial equilibrium networks approach," Discussion Papers 2022/04, University of Nottingham, Centre for Finance, Credit and Macroeconomics (CFCM).
    14. Tathagata Banerjee & Zachary Feinstein, 2018. "Impact of Contingent Payments on Systemic Risk in Financial Networks," Papers 1805.08544, arXiv.org, revised Dec 2018.
    15. Covi, Giovanni & Gorpe, Mehmet Ziya & Kok, Christoffer, 2021. "CoMap: Mapping Contagion in the Euro Area Banking Sector," Journal of Financial Stability, Elsevier, vol. 53(C).
    16. Shi, Qing & Sun, Xiaoqi & Jiang, Yile, 2022. "Concentrated commonalities and systemic risk in China's banking system: A contagion network approach," International Review of Financial Analysis, Elsevier, vol. 83(C).
    17. Bardoscia, Marco & Barucca, Paolo & Brinley Codd, Adam & Hill, John, 2017. "The decline of solvency contagion risk," Bank of England working papers 662, Bank of England.
    18. Kerstin Awiszus & Agostino Capponi & Stefan Weber, 2020. "Market Efficient Portfolios in a Systemic Economy," Papers 2003.10121, arXiv.org, revised May 2021.
    19. Paolo Barucca & Marco Bardoscia & Fabio Caccioli & Marco D'Errico & Gabriele Visentin & Guido Caldarelli & Stefano Battiston, 2020. "Network valuation in financial systems," Mathematical Finance, Wiley Blackwell, vol. 30(4), pages 1181-1204, October.
    20. Paul Glasserman & H. Peyton Young, 2015. "Contagion in Financial Markets," Working Papers 15-21, Office of Financial Research, US Department of the Treasury.

    More about this item

    Keywords

    Networks; Bankruptcy Problems; Systemic Risk; Decentralized Clearing; Indivisibilities.;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:has:discpr:1603. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Nora Horvath (email available below). General contact details of provider: https://edirc.repec.org/data/iehashu.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.