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Variational Inequalities and General Equilibrium Models

In: Mathematical Analysis in Interdisciplinary Research

Author

Listed:
  • Maria Bernadette Donato

    (Department of Economics, University of Messina)

  • Antonino Maugeri

    (Department of Mathematics and Computer Sciences, University of Catania)

  • Monica Milasi

    (Department of Economics, University of Messina)

  • Antonio Villanacci

    (Department of Economics and Management, Universitá degli Studi di Firenze)

Abstract

We deal with the study of several general equilibrium models by using the variational inequality theory. The theory of variational inequalities was introduced in the sixties of the past century by Fichera (1964), and Lions and Stampacchia (1965), as an innovative and effective method to solve equilibrium problems arising in mathematical physics. Afterward this theory turned out as a powerful tool, and it was used to analyze different kinds of equilibrium problems.

Suggested Citation

  • Maria Bernadette Donato & Antonino Maugeri & Monica Milasi & Antonio Villanacci, 2021. "Variational Inequalities and General Equilibrium Models," Springer Optimization and Its Applications, in: Ioannis N. Parasidis & Efthimios Providas & Themistocles M. Rassias (ed.), Mathematical Analysis in Interdisciplinary Research, pages 169-212, Springer.
    • Handle: RePEc:spr:spochp:978-3-030-84721-0_11
    DOI: 10.1007/978-3-030-84721-0_11
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    Cited by:

    1. Domenico Scopelliti, 2022. "On a Class of Multistage Stochastic Hierarchical Problems," Mathematics, MDPI, vol. 10(21), pages 1-13, October.

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