Arbeitspapier

Decentralized clearing in financial networks

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.

ISBN
978-615-5594-29-8
Language
Englisch

Bibliographic citation
Series: IEHAS Discussion Papers ; No. MT-DP - 2016/3

Classification
Wirtschaft
Cooperative Games
General Financial Markets: General (includes Measurement and Data)
Subject
Networks
Bankruptcy Problems
Systemic Risk
Decentralized Clearing
Indivisibilities

Event
Geistige Schöpfung
(who)
Csóka, Péter
Herings, P.Jean-Jacques
Event
Veröffentlichung
(who)
Hungarian Academy of Sciences, Institute of Economics
(where)
Budapest
(when)
2016

Handle
Last update
10.03.2025, 11:44 AM CET

Data provider

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Object type

  • Arbeitspapier

Associated

  • Csóka, Péter
  • Herings, P.Jean-Jacques
  • Hungarian Academy of Sciences, Institute of Economics

Time of origin

  • 2016

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