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Functional Inequalities and Analysis of Contagion in the Financial Networks

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Handbook of Functional Equations

Part of the book series: Springer Optimization and Its Applications ((SOIA,volume 95))

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”.

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Authors and Affiliations

  1. Department of Mathematics and Computer Science, University of Catania, Viale A. Doria 6, 95125, Catania, Italy

    P. Daniele, M. Lorino, A. Maugeri & C. Mirabella

  2. D.I.M.E.T. Faculty of Engineering, University of Reggio Calabria, 89060, Reggio Calabria, Italy

    S. Giuffè

Authors
  1. P. Daniele
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  2. S. Giuffè
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  3. M. Lorino
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  4. A. Maugeri
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  5. C. Mirabella
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Corresponding author

Correspondence to P. Daniele .

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Editors and Affiliations

  1. Department of Mathematics, National Technical University of Athens, Athens, Greece

    Themistocles M. Rassias

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Daniele, P., Giuffè, S., Lorino, M., Maugeri, A., Mirabella, C. (2014). Functional Inequalities and Analysis of Contagion in the Financial Networks. In: Rassias, T. (eds) Handbook of Functional Equations. Springer Optimization and Its Applications, vol 95. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-1246-9_7

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