Computation of economic equilibria
[INMA2415]
[30h + 22.5h] 5 credits
This course is taught in the 1st semester.
Teacher(s): Yves Smeers
Language: French
Level: Second
Aims
Main themes
Content and teaching methods
Partial and general equilibrium, Nash equilibrium, equilibrium on networks, multilevel equilibrium
2. Illustrations and applications
General equilibrium, models of imperfectly competitive markets, models of network industries (energy, transport, telecommunication), multilevel equilibrium (Stackelberg, hierarchical programming, principal/agent, optimisation subject to equilibrium problems, equilibrium problems subject to equilibrium constraints
3. Formulation of equilibrium problems
Optimisation, Fixed-point formation, Linear and nonlinear complementarity problems, Variational inequality problems
4. Solution techniques
Differentiable methods: the problem is replaced by sequences of simpler variational inequality or complementarity problems: Interior point methods for complementarity problems, non-differentiable techniques, multilevel techniques.
Other information (prerequisite, evaluation (assessment methods), course materials recommended readings, ...)