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On the unification of centralized and decentralized clearing mechanisms in financial networks

Author

Listed:
  • Martijn W. Ketelaars

    (Tilburg University)

  • Peter Borm

    (Tilburg University)

Abstract

We analyze clearing mechanisms in financial networks in which agents may have both monetary individual assets and mutual liabilities. A clearing mechanism prescribes mutual payments between agents in a financial network to settle their mutual liabilities. The corresponding payments, summarized in a payment matrix, are made in accordance with agent-specific claims rules that stem from the vast literature on claims situations. The bottom payment matrix is the payment matrix that contains the minimal amount of payments required to clear the network. We explicitly characterize the bottom payment matrix as the result of a recursive centralized mechanism. We subsequently show that several types of decentralized clearing mechanisms lead to the bottom payment matrix as well. In fact, we show that this unification of centralized and decentralized clearing mechanisms relies on the composition property of the underlying agent-specific claims rules that dictate the payment mechanism.

Suggested Citation

  • Martijn W. Ketelaars & Peter Borm, 2024. "On the unification of centralized and decentralized clearing mechanisms in financial networks," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 99(3), pages 205-231, June.
    • Handle: RePEc:spr:mathme:v:99:y:2024:i:3:d:10.1007_s00186-024-00860-5
    DOI: 10.1007/s00186-024-00860-5
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    References listed on IDEAS

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    1. Csoka, Peter & Herings, P.J.J., 2022. "Centralized Clearing Mechanisms in Financial Networks : A Programming Approach," Discussion Paper 2022-008, Tilburg University, Center for Economic Research.
    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.
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