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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," IEHAS Discussion Papers 1603, Institute of Economics, Centre for Economic and Regional Studies, Hungarian Academy of Sciences.
  • Handle: RePEc:has:discpr:1603
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    References listed on IDEAS

    as
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    Citations

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    Cited by:

    1. Berlinger, Edina & Váradi, Kata & Dömötör, Barbara & Illés, Ferenc, 2016. "A tőzsdei elszámolóházak vesztesége
      [The loss from central clearing houses]
      ," Közgazdasági Szemle (Economic Review - monthly of the Hungarian Academy of Sciences), Közgazdasági Szemle Alapítvány (Economic Review Foundation), vol. 0(9), pages 993-1010.
    2. Csóka, Péter & Havran, Dániel & Váradi, Kata, 2016. "Konferencia a pénzügyi piacok likviditásáról. Sixth Annual Financial Market Liquidity Conference, 2015
      [Conference on the liquidity of financial markets. Sixth Annual Financial Market Liquidity Con
      ," Közgazdasági Szemle (Economic Review - monthly of the Hungarian Academy of Sciences), Közgazdasági Szemle Alapítvány (Economic Review Foundation), vol. 0(4), pages 461-469.
    3. Laszlo A. Koczy & Peter Biro & Balazs Sziklai, 2017. "US vs. European Apportionment Practices: The Conflict between Monotonicity and Proportionality," IEHAS Discussion Papers 1716, Institute of Economics, Centre for Economic and Regional Studies, Hungarian Academy of Sciences.

    More about this item

    Keywords

    Networks; Bankruptcy Problems; Systemic Risk; Decentralized Clearing; Indivisibilities.;

    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)

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