IØ8806 - Introduction Course in Complementarity Models and Equilibrium


Examination arrangement

Examination arrangement: Work
Grade: Passed/Failed

Evaluation form Weighting Duration Examination aids Grade deviation
Work 100/100

Course content

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

Learning outcome

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

Learning methods and activities

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

Course materials

Selected literature. Will be given at course start-up.


Detailed timetable


Examination arrangement: Work

Term Statuskode Evaluation form Weighting Examination aids Date Time Room *
Autumn ORD Work 100/100
Spring ORD Work 100/100
  • * The location (room) for a written examination is published 3 days before examination date.
If more than one room is listed, you will find your room at Studentweb.