Introduction Course in Complementarity Models and Equilibrium

Introduction Course in Complementarity Models and Equilibrium is an intensive PhD course over 4 days given by Professor Steven A. Gabriel, University of Maryland and NTNU.

Course content includes: Karush-Kuhn-Tucker Conditions and links to Linear Programming (LP) and Nonlinear Programming (NLP) Introduction to Non-Cooperative Games (Two-Person, Zero-Sum, N-Player Nash-Cournot), Introduction to Mixed Complementarity Problems (MCPs), Applications of Mixed Complementarity Problems, Principle of Symmetry Case Study (energy or transportation), modelling session.

After having completed the course the candidate should

• understand deriving of KKT conditions for equilibrium problems and nonlinear models
• be able to describe and model Nash equilibria for practical problems
• understand and model Cournot-Nash equilibria
• model equilibrium models in GAMS and solve them with Path

There will be in total 25 hours of lectures and a mandatory exercise.