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Finance and variational inequalities-super-

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  • A. Nagurney

Abstract

This article overviews applications of variational inequality theory to financial equilibrium problems. It provides a basic introduction to finite-dimensional variational inequality theory and then applies the theory to the formulation, qualitative analysis and computation of solutions to an international financial equilibrium problem in the presence of taxes, transaction costs as well as price regulations.

Suggested Citation

  • A. Nagurney, 2001. "Finance and variational inequalities-super-," Quantitative Finance, Taylor & Francis Journals, vol. 1(3), pages 309-317, March.
    • Handle: RePEc:taf:quantf:v:1:y:2001:i:3:p:309-317
    DOI: 10.1088/1469-7688/1/3/202
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    Cited by:

    1. Cojocaru, Monica-Gabriela & Daniele, Patrizia & Nagurney, Anna, 2006. "Double-layered dynamics: A unified theory of projected dynamical systems and evolutionary variational inequalities," European Journal of Operational Research, Elsevier, vol. 175(1), pages 494-507, November.
    2. Ciarcià, Carla & Daniele, Patrizia, 2016. "New existence theorems for quasi-variational inequalities and applications to financial models," European Journal of Operational Research, Elsevier, vol. 251(1), pages 288-299.
    3. 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.
    4. Barbagallo, Annamaria & Daniele, Patrizia & Giuffrè, Sofia & Maugeri, Antonino, 2014. "Variational approach for a general financial equilibrium problem: The Deficit Formula, the Balance Law and the Liability Formula. A path to the economy recovery," European Journal of Operational Research, Elsevier, vol. 237(1), pages 231-244.
    5. Slanina, Frantisek, 2013. "Essentials of Econophysics Modelling," OUP Catalogue, Oxford University Press, number 9780199299683, Decembrie.
    6. Raoul Golan & Austin Gerig, 2013. "A Stochastic Feedback Model for Volatility," Papers 1306.4975, arXiv.org, revised Nov 2013.
    7. 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.
    8. 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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