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An Axiomatization of the Proportional Rule 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)

  • P. Jean-Jacques Herings

    (Department of Economics, Maastricht University, The Netherlands)

Abstract

The most important rule to determine payments in real-life bankruptcy problems is the proportional rule. Many bankruptcy problems are characterized by network aspects and default may occur as a result of contagion. Indeed, in financial networks with defaulting agents, the values of the agents' assets are endogenous as they depend on the extent to which claims on other agents can be collected. These network aspects make an axiomatic analysis challenging. This paper is the first to provide an axiomatization of the proportional rule in financial networks. Our two central axioms are impartiality and non-manipulability by identical agents. The other axioms are claims boundedness, limited liability, priority of creditors, and continuity.

Suggested Citation

  • Peter Csoka & P. Jean-Jacques Herings, 2017. "An Axiomatization of the Proportional Rule in Financial Networks," CERS-IE WORKING PAPERS 1701, Institute of Economics, Centre for Economic and Regional Studies.
    • Handle: RePEc:has:discpr:1701
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    Cited by:

    1. Gustavo Berganti~nos & Juan D. Moreno-Ternero, 2023. "Revenue sharing at music streaming platforms," Papers 2310.11861, arXiv.org.
    2. Martijn Ketelaars & Peter Borm & Marieke Quant, 2020. "Decentralization and mutual liability rules," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 92(3), pages 577-599, December.
    3. Gabrielle Demange, 2021. "On the resolution of cross-liabilities," Working Papers halshs-03151128, HAL.
    4. Mirjam Groote Schaarsberg & Hans Reijnierse & Peter Borm, 2018. "On solving mutual liability problems," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 87(3), pages 383-409, June.
    5. Ketelaars, Martijn, 2024. "Equity Consistency in Financial Networks," Discussion Paper 2024-017, Tilburg University, Center for Economic Research.
    6. Ketelaars, Martijn & Borm, Peter, 2021. "On the Unification of Centralized and Decentralized Clearing Mechanisms in Financial Networks," Discussion Paper 2021-015, Tilburg University, Center for Economic Research.
    7. Péter Csóka & P. Jean-Jacques Herings, 2018. "Decentralized Clearing in Financial Networks," Management Science, INFORMS, vol. 64(10), pages 4681-4699, October.
    8. Ketelaars, Martijn, 2024. "On the Compatibility of Composition Axioms in Financial Networks," Discussion Paper 2024-007, Tilburg University, Center for Economic Research.
    9. Ketelaars, Martijn & Borm, Peter & Herings, P.J.J., 2024. "The Characterization of Clearing Payments in Financial Networks," Other publications TiSEM e1e1e64f-022b-4206-b7b3-b, Tilburg University, School of Economics and Management.
    10. Ketelaars, Martijn, 2024. "On the Compatibility of Composition Axioms in Financial Networks," Other publications TiSEM 041e8388-cc78-4d6b-b6ba-5, Tilburg University, School of Economics and Management.
    11. Gabrielle Demange, 2020. "Resolution rules in a system of financially linked firms," Working Papers hal-02502413, HAL.
    12. Karol Flores-Szwagrzak & Jaume García-Segarra & Miguel Ginés-Vilar, 2020. "Priority and proportionality in bankruptcy," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 54(4), pages 559-579, April.
    13. Calleja, Pedro & Llerena, Francesc, 2024. "Proportional clearing mechanisms in financial systems: An axiomatic approach," Journal of Mathematical Economics, Elsevier, vol. 111(C).
    14. 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.
    15. Ketelaars, Martijn, 2024. "Equity Consistency in Financial Networks," Other publications TiSEM 6821532b-151b-4ae3-9543-5, Tilburg University, School of Economics and Management.

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    More about this item

    Keywords

    financial networks; systemic risk; bankruptcy rules; proportional rule;
    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)

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