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Financial networks with electronic transactions: modelling, analysis and computations

Author

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  • Anna Nagurney
  • Ke Ke
Abstract
Advances in telecommunication networks, and, in particular, the Internet have transformed the economic landscape for financial decision-making. In this paper, we focus on financial networks with electronic transactions and with different tiers of decision-makers and we develop an integrated framework for the modelling, analysis and computation of solutions to such problems. Specifically, we consider an economy consisting of three types of decision-makers: those with sources of funds; intermediary ones, and consumers associated with the financial products at the demand markets. Those with sources of funds can transact with the intermediaries either physically or electronically as well as directly in an electronic manner with the consumers. The intermediaries, in turn, can also transact with the consumers either in a physical or an electronic fashion. We address the behaviour of the decision-makers, identify the network structure of the problem, derive the equilibrium conditions, and establish the variational inequality formulation. In addition, we propose a continuous time adjustment process for the study of the disequilibrium dynamics and prove that the set of stationary points of the resulting projected dynamical system coincides with the set of solutions of the variational inequality. We then utilize variational inequality theory to derive qualitative properties of the equilibrium price and financial flow pattern. Finally, we apply an algorithm for the determination of equilibrium prices and financial flows in several examples.

Suggested Citation

  • Anna Nagurney & Ke Ke, 2003. "Financial networks with electronic transactions: modelling, analysis and computations," Quantitative Finance, Taylor & Francis Journals, vol. 3(2), pages 71-87.
  • Handle: RePEc:taf:quantf:v:3:y:2003:i:2:p:71-87
    DOI: 10.1088/1469-7688/3/2/302
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    References listed on IDEAS

    as
    1. Helen Allen & John Hawkins & Setsuya Sato, 2001. "Electronic trading and its implications for financial systems," BIS Papers chapters, in: Bank for International Settlements (ed.), Electronic finance: a new perspective and challenges, volume 7, pages 30-52, Bank for International Settlements.
    2. Setsuya Sato & John Hawkins, 2001. "Electronic finance: an overview of the issues," BIS Papers chapters, in: Bank for International Settlements (ed.), Electronic finance: a new perspective and challenges, volume 7, pages 1-12, Bank for International Settlements.
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    Cited by:

    1. Nagurney, Anna & Ke, Ke, 2006. "Financial networks with intermediation: Risk management with variable weights," European Journal of Operational Research, Elsevier, vol. 172(1), pages 40-63, July.
    2. Zugang Liu, 2013. "The co-evolution of integrated corporate financial networks and supply chain networks with insolvency risk," Computational Management Science, Springer, vol. 10(2), pages 253-275, June.
    3. Anna Nagurney & Tina Wakolbinger & Li Zhao, 2006. "The Evolution and Emergence of Integrated Social and Financial Networks with Electronic Transactions: A Dynamic Supernetwork Theory for the Modeling, Analysis, and Computation of Financial Flows and R," Computational Economics, Springer;Society for Computational Economics, vol. 27(2), pages 353-393, May.
    4. Detlef Seese & Christof Weinhardt & Frank Schlottmann (ed.), 2008. "Handbook on Information Technology in Finance," International Handbooks on Information Systems, Springer, number 978-3-540-49487-4, November.
    5. Qiang Qiang & Ke Ke & Yihong Hu, 2013. "Financial networks with socially responsible investing," Computational Management Science, Springer, vol. 10(2), pages 231-252, June.

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