Nonlinear Programming Techniques for Equilibria / EURO Advanced Tutorials on Operational Research (PDF)

Giancarlo Bigi got a Ph.D. in Mathematics from the University of Pisa, Italy. He is currently Associate Professor of Operations Research at the Department of Computer Science of the same university. He achieved the Italian National Habilitation for full professorship both in Operations Research and Mathematical Methods for Economics. He is currently serving on the Managing Board of EUROPT, the continuous optimization working group of EURO. His research interest are mainly about multiobjective and set-valued optimization, nonconvex programming, variational inequalities and other equilibrium problems including Ky Fan inequalities, game theory, and their applications. In particular, most of his recent work focuses on the existence and computation of solutions of Ky Fan inequalities. His research papers have been published in several scientific journals and volumes.
Marco Castellani is Full Professor of Mathematical Methods for Economics and Actuarial and Financial Sciences at the Department of Information Engineering, Computer Science and Mathematics of the University of L'Aquila, Italy. He received both his M.Sc. degree and his Ph.D. in Mathematics from the University of Pisa, Italy. He is author of more than forty scientific papers most of which published in international journals such as Journal of Mathematical Analysis and Applications, Nonlinear Analysis TMA, Journal of Convex Analysis, Journal of Optimization Theory and Applications, Journal of Global Analysis, European Journal of Operational Research, Operations Research Letters, Applied Mathematics and Optimization, Optimization Methods & Software. His research activities have been mainly focused on theoretical aspects of nonsmooth scalar and multiobjective optimization, variational and quasivariational inequalities, equilibrium problems. In particular, his most recent works concern the existence of both exact and approximate solutions of Ky Fan inequalities in infinite dimensional spaces, the study of their