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An agent-based model of payment systems

Author

Listed:
  • Marco Galbiati

    (Bank of England)

  • Kimmo Soramaki

    (Helsinki University of Technology)

Abstract

This paper lays out and simulates a multi-agent, multi-period model of an RTGS payment system. At the beginning of the day, banks choose how much costly liquidity to allocate to the settlement process. Then, they use it to execute an exogenous, random stream of payment orders. If a bank's liquidity stock is depleted, payments are queued until new liquidity arrives from other banks, imposing costs on the delaying bank. The paper studies the equilibrium level of liquidity posted in the system, performing some comparative statics and obtaining: i) a liquidity demand curve which links liquidity to delay costs and ii) insights on the efficiency of alternative system configurations.

Suggested Citation

  • Marco Galbiati & Kimmo Soramaki, 2008. "An agent-based model of payment systems," Bank of England working papers 352, Bank of England.
    • Handle: RePEc:boe:boeewp:0352
    as

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    References listed on IDEAS

    as
    1. Kahn, Charles M & Roberds, William, 1998. "Payment System Settlement and Bank Incentives," The Review of Financial Studies, Society for Financial Studies, vol. 11(4), pages 845-870.
    2. Morten L. Bech & Rodney J. Garratt, 2012. "Illiquidity in the Interbank Payment System Following Wide‐Scale Disruptions," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 44(5), pages 903-929, August.
    3. Fudenberg, Drew & Levine, David, 1998. "Learning in games," European Economic Review, Elsevier, vol. 42(3-5), pages 631-639, May.
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    5. Kukushkin, Nikolai S., 2004. "Best response dynamics in finite games with additive aggregation," Games and Economic Behavior, Elsevier, vol. 48(1), pages 94-110, July.
    6. Soramäki, Kimmo & Bech, Morten L. & Arnold, Jeffrey & Glass, Robert J. & Beyeler, Walter E., 2007. "The topology of interbank payment flows," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 379(1), pages 317-333.
    7. Bech, Morten L. & Garratt, Rod, 2003. "The intraday liquidity management game," Journal of Economic Theory, Elsevier, vol. 109(2), pages 198-219, April.
    8. Devriese, Johan & Mitchell, Janet, 2006. "Liquidity risk in securities settlement," Journal of Banking & Finance, Elsevier, vol. 30(6), pages 1807-1834, June.
    9. Chakravorti, Sujit, 2000. "Analysis of systemic risk in multilateral net settlement systems," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 10(1), pages 9-30, January.
    10. John P. Jackson & Mark J. Manning, 2007. "Central Bank intraday collateral policy and implications for tiering in rtgs payment systems," DNB Working Papers 129, Netherlands Central Bank, Research Department.
    11. Angelini, Paolo, 1998. "An analysis of competitive externalities in gross settlement systems," Journal of Banking & Finance, Elsevier, vol. 22(1), pages 1-18, January.
    12. Drew Fudenberg & David K. Levine, 1998. "The Theory of Learning in Games," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061945, December.
    13. Leinonen, Harry, 2005. "Liquidity, risks and speed in payment and settlement systems : a simulation approach," Scientific Monographs, Bank of Finland, number 2005_031.
    14. Beyeler, Walter E. & Glass, Robert J. & Bech, Morten L. & Soramäki, Kimmo, 2007. "Congestion and cascades in payment systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 384(2), pages 693-718.
    15. Tesfatsion, Leigh, 2001. "Introduction to the special issue on agent-based computational economics," Journal of Economic Dynamics and Control, Elsevier, vol. 25(3-4), pages 281-293, March.
    16. Simon Buckle & Erin Campbell, 2003. "Settlement bank behaviour and throughput rules in an RTGS payment system with collateralised intraday credit," Bank of England working papers 209, Bank of England.
    17. Marco Galbiati & Simone Giansante, 2010. "Emergence of networks in large value payment systems (LVPSs)," Department of Economic Policy, Finance and Development (DEPFID) University of Siena 0110, Department of Economic Policy, Finance and Development (DEPFID), University of Siena.
    18. Dindos, Martin & Mezzetti, Claudio, 2006. "Better-reply dynamics and global convergence to Nash equilibrium in aggregative games," Games and Economic Behavior, Elsevier, vol. 54(2), pages 261-292, February.
    19. Axelrod, Robert & Tesfatsion, Leigh, 2006. "A Guide for Newcomers to Agent-Based Modeling in the Social Sciences," Staff General Research Papers Archive 12515, Iowa State University, Department of Economics.
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    More about this item

    Keywords

    Payment systems; liquidity; RTGS; agent-based modelling; learning; fictitious play.;
    All these keywords.

    JEL classification:

    • C79 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Other

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