Prof. Annamaria Barbagallo
University of Naples Federico II, Italy
Title: AN ECONOMIC CONTROL EQUILIBRIUM PROBLEM VIA INVERSE TENSOR VARIATIONAL INEQUALITIES
Abstract:
The aim of the talk is to introduce the policymaker’s point of view for the oligopolistic market
equilibrium problem is introduced (see [1]). More precisely the control equilibrium conditions for the
regulatory tax are given and their characterization with a suitable inverse tensor variational inequality
is established. Thanks to the inverse variational formulation, some existence and uniqueness results
are shown. Furthermore, the well-posedness analysis is investigated. The Tikhonov regularization
method is extended to tensor inverse problems to study them when they are ill-posedness. At last, an
example is provided.
References
[1] F. Anceschi, A. Barbagallo, S. Guarino Lo Bianco, “Inverse tensor variational inequalities and
applications”, accepted on J. Optim. Theory Appl.
Biography:
Annamaria Barbagallo received her degree in Mathematics cum laude on April 11th, 2003 at
University of Catania. From November 2nd to December 31st, 2006 she had a collaboration contract
for the research of computational algorithms for variational models of static and dynamics
equilibrium problems, at Department of Mathematics and Computer Science of University of Catania.
She received her PhD degree in Computation and Information Sciences at University of Naples
“Federico II”, on February 6
th
, 2007. From March 1st to October 15th, 2007 she had a post-doctoral
fellow in Operations Research, Computation & Analysis of Systems Research Group, at University
of Guelph, Canada. From November 2nd, 2007 to November 1st, 2010 she had a post-doctoral fellow
on Mathematical Analysis, and from December 1st to 15th, 2010 she had a post-doctorial fellow on
Operations Research, at University of Catania. From December 16th, 2010 to September 30th, 2015
she was assistant professor of Mathematical Analysis, at University of Naples “Federico II”. From
October 1st, 2015 she is Associate Professor of Mathematical Analysis, at University of Naples
“Federico II”. Her research activity concerns various aspects of Variational Analysis and
Optimization regarding the theory of variational and quasi-variational inequalities and to the theory
of infinite-dimensional duality, network equilibrium problems and hyperbolic differential equations.
She was principal investigator of some projects funded by GNAMPA / INDAM and STAR /
Compagnia San Paolo. She is the local investigator of a PRIN project. She took part of some PRIN,
GNAMPA / INDAM, FARO and university projects. She is member of Editorial Board of some
international journals. She participated to many national and international conference giving, also on
invitation, communications. She is co-director of some international congresses, co-organizer of some
minisymposia and member of the organizer committee of some international conferences.