Aims

Training in the formulation, analysis and solution of economic equilibrium models

Main themes

Presentation of various types of economic equilibrium, alternative formulations and most important solution methods.

Content and teaching methods

1. Types of economic equilibrium
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, ...)

The material is presented though small examples together with their economic interpretation. A linear programming course is a prerequisite.

Other credits in programs