Advanced Course in Complementarity Models and Equilibrium

BEA518NFB Advanced Course in Complementarity Models and Equilibrium

  • Topics


    • Linear Complementarity Models, Mixed Complementarity Models , MPEC
    • Generalized Nash equilibriums
    • Principle of Symmetry,
    • Variational inequalities and quasi-variational inequalities
    • Bilevel programming,
    • Applications
    • Stochastic equilibrium
    • Solution methods

  • Learning outcome

    Learning outcome

    This is an advanced class in equilibrium modeling based on complementarity formulations. The class has the following learning objectives:


    • The candidate should after the be able to formulate and solve linear complementarity models, mixed complementarity models, mathematical programs with equilibrium constraints and bi-level programs
    • The candidate should know about and understand the concepts of generalized Nash equilibriums, variational inequalities and quasi-variational inequalities.
    • The candidate should be able to discuss the principle of symmetry and describe its implications for models.
    • The candidate is expected to be able to identify problem classes and formulate the right model when a practical application is presented.
    • The candidate should be able to discuss the effects of uncertainty on equilibrium formulations and understand solution methods for stochastic equilibriums.

  • Teaching


    There will be 4 days of classes (6 hours per day) and one day for the mandatory exercise.

  • Required prerequisites

    Required prerequisites

    Participants need some knowledge about linear and non-linear optimization as wells as complementarity models

  • Requirements for course approval

    Requirements for course approval

     Mandatory exercise must be approved.

  • Assessment


    Pass/Fail options.

    The grade will be given based on the mandatory exercise handed in 4 days after the course

  • Grading Scale

    Grading Scale


  • Computer tools

    Computer tools

    GAMS will be used as a modeling tool in the course.

  • Semester


    Spring 2013

    March 18-22 



  • Literature


    Research papers


ECTS Credits
Teaching language

Course responsible

Prof. Steven Gabriel, University of Maryland and NTNU