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Double-layered dynamics: A unified theory of projected dynamical systems and evolutionary variational inequalities

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  • Cojocaru, Monica-Gabriela
  • Daniele, Patrizia
  • Nagurney, Anna

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  • 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.
    • Handle: RePEc:eee:ejores:v:175:y:2006:i:1:p:494-507
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    References listed on IDEAS

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    1. Nagurney, Anna & Dupuis, Paul & Zhang, Ding, 1994. "A Dynamical Systems Approach for Network Oligopolies and Variational Inequalities," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 28(3), pages 263-283, September.
    2. A. Nagurney, 2001. "Finance and variational inequalities-super-," Quantitative Finance, Taylor & Francis Journals, vol. 1(3), pages 309-317, March.
    3. Anna Nagurney & Ding Zhang, 1997. "Projected Dynamical Systems in the Formulation, Stability Analysis, and Computation of Fixed-Demand Traffic Network Equilibria," Transportation Science, INFORMS, vol. 31(2), pages 147-158, May.
    4. CORNET, Bernard, 1983. "Existence of slow solutions for a class of differential inclusions," LIDAM Reprints CORE 539, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    5. Nagurney, Anna & Zhang, Ding, 1996. "On the stability of an adjustment process for spatial price equilibrium modeled as a projected dynamical system," Journal of Economic Dynamics and Control, Elsevier, vol. 20(1-3), pages 43-62.
    6. D. Zhang & A. Nagurney, 1997. "Formulation, Stability, and Computation of Traffic Network Equilibria as Projected Dynamical Systems," Journal of Optimization Theory and Applications, Springer, vol. 93(2), pages 417-444, May.
    7. A. Nagurney & K. Ke, 2001. "Financial networks with intermediation," Quantitative Finance, Taylor & Francis Journals, vol. 1(4), pages 441-451.
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    Cited by:

    1. Georgia Fargetta & Laura R. M. Scrimali, 2023. "A sustainable dynamic closed-loop supply chain network equilibrium for collectibles markets," Computational Management Science, Springer, vol. 20(1), pages 1-30, December.
    2. Anna Nagurney & Qiang Qiang, 2008. "An efficiency measure for dynamic networks modeled as evolutionary variational inequalities with application to the Internet and vulnerability analysis," Netnomics, Springer, vol. 9(1), pages 1-20, January.
    3. 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.
    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. Maria Bernadette Donato & Monica Milasi & Laura Scrimali, 2011. "Walrasian Equilibrium Problem with Memory Term," Journal of Optimization Theory and Applications, Springer, vol. 151(1), pages 64-80, October.
    6. Shipra Singh & Aviv Gibali & Simeon Reich, 2024. "Multidimensional Evolution Effects on Non-Cooperative Strategic Games," Mathematics, MDPI, vol. 12(16), pages 1-30, August.

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