Fall School 2019

Quasi-variational inequalities (QVIs) form a notoriously difficult class of problems which differ from standard variational inequalities since its feasible set also depends on the decision variable. Besides this fact, the QVI has become a standard tool for the modeling of various equilibrium-type scenarios in the natural sciences and includes, in particular, the generalized Nash equilibrium problem (GNEP). QVIs therefore have a wide range of applications in game theory, continuum mechanics, economics, transportation etc.

The fall school brings together three leading experts from the area of QVIs and GNEPs.  They will give an up-to-date survey covering, in particular, topics like existence results, practical solution methods, and applications, both in finite and infinite dimensions.

• Jong-Shi Pang (University of Southern California)
  Generalized Nash-Equilibrium Problems in Finite Dimensions
  Jong-Shi Pang is an applied mathematician with a wide range of interests, working in the area of optimization and different kind of equilibrium problems as well as their applications in many engineering fields. He is a winner of the 1994 Frederick W. Lanchester Prize and the 2003 George B. Dantzig Prize. He is author of three widely cited monographs and almost 200 peer-reviewed papers in international journals.

• Carlos N. Rautenberg(Humboldt Universität zu Berlin)
  Introduction to Quasi-Variational Inequalities in Hilbert Spaces
  Carlos N. Rautenberg is the head of a research group on numerics and optimization of  robust equilibria. Among his research interests is the analysis, numerics, and optimization of quasi-variational inequalities in function spaces. He is the author of several peer-reviewed papers in international journals.

• Hasnaa Zidani (ENSTA ParisTech)
  Optimal Control and Hamilton-Jacobi-Bellman Equations
  Hasnaa Zidani is well known for her contributions to control theory. Her research interests lie in the area of applied mathematics with a particular focus on optimization based methods in control theory and on numerical analysis for Hamilton-Jacobi equations. She has published more than 50 peer-reviewed papers in international journals.