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Functional Inequalities and Analysis of Contagion in the Financial Networks

In: Handbook of Functional Equations

Author

Listed:
  • P. Daniele

    (University of Catania)

  • S. Giuffè

    (University of Reggio Calabria)

  • M. Lorino

    (University of Catania)

  • A. Maugeri

    (University of Catania)

  • C. Mirabella

    (University of Catania)

Abstract

In very recent papers, using delicate tools of functional analysis, a general equilibrium model of financial flows and prices is studied. In particular, without using a technical language, but using the universal language of mathematics, some significant laws, such as the Deficit formula, the Balance law and the Liability formula for the management of the world economy are provided. Further a simple but useful economical indicator E(t) is considered. In this paper, considering the Lagrange dual formulation of the financial model, the Lagrange variables called “deficit” and “surplus” variables are considered. By means of these variables, we study the possible insolvencies related to the financial instruments and their propagation to the entire system, producing a “financial contagion”.

Suggested Citation

  • P. Daniele & S. Giuffè & M. Lorino & A. Maugeri & C. Mirabella, 2014. "Functional Inequalities and Analysis of Contagion in the Financial Networks," Springer Optimization and Its Applications, in: Themistocles M. Rassias (ed.), Handbook of Functional Equations, edition 127, pages 129-146, Springer.
    • Handle: RePEc:spr:spochp:978-1-4939-1246-9_7
    DOI: 10.1007/978-1-4939-1246-9_7
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    Citations

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    Cited by:

    1. Patrizia Daniele & Sofia Giuffrè & Mariagrazia Lorino, 2016. "Functional inequalities, regularity and computation of the deficit and surplus variables in the financial equilibrium problem," Journal of Global Optimization, Springer, vol. 65(3), pages 575-596, July.
    2. Patrizia Daniele & Mariagrazia Lorino & Cristina Mirabella, 2016. "The Financial Equilibrium Problem with a Markowitz-Type Memory Term and Adaptive Constraints," Journal of Optimization Theory and Applications, Springer, vol. 171(1), pages 276-296, October.

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