Course - Introduction Course in Complementarity Models and Equilibrium - IØ8806
Introduction Course in Complementarity Models and Equilibrium
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About the course
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.
Recommended previous knowledge
A master level course in operations research covering KKT conditions and non-linear programming is desirable as well as basic working knowledge of GAMS.
Course materials
Selected literature. Will be given at course start-up.
Subject areas
- Business Economics
- Managerial Economics, Finance and Operations Research
- Industrial Economics and Technology Management
- Operations Research
Contact information
Course coordinator
Lecturers
Department with academic responsibility
Department of Industrial Economics and Technology Management