NMAK15001U Cancelled: Operations Research 3: Hierarchical optimization and equilibrium
MSc Programme in Mathematics-Economy
Most optmization problems aim at maximizing/minimizing the
objective function of a single player. For example, we formulate
problems to determine optimal investment or portfolios strategies
to maximize our profit. However, these models assume that the
decisions of the rest of the players are not affected by our own
decisions and obviously, this is not always the case.
The main objective of this course is to present the main
mathematical tools to formulate optimization problems in which two
or more decision makers with different objective function are
involved. The main contents of this course are:
A. Game Theory and Equilibrium
B. Complementarity Modelling
C. Hierarchical Optimization
D. Mathematical Programming with Equilibrium
Constraints
Knowledge:
- Game theory in a mathematical programming context
- Equilibirum programming problems
- Complementarity problems
- Bilevel and multi-level problems
- Mathematical problems with equilibrium constraints
Skills:
- To formulate and solve equilibrium problems using designed
solution algorithms and standard software
- To formulate and solve complementarity problems using
designed solution algorithms and standard software
- To formulate and solve bi-level and multi-level optimization
problems using designed solution algorithms and standard
software
- To formulate and solve mathematical programming problems with
equilibrium constraints using designed solution algorithms and
standard software
Competences:
- To identify real-life problem in which hieralchical optimization
and equilibrium theory could be applied.
- To evaluate the most suitable method to solve a given
optimization problem that includes more than one decision maker.
- To critically analyze the results of hieralchical and equilibrium
problems.
- Category
- Hours
- Class Instruction
- 14
- Exam
- 1
- Lectures
- 28
- Preparation
- 105
- Project work
- 58
- Total
- 206
As
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Continuing Education - click here!
- Credit
- 7,5 ECTS
- Type of assessment
- Oral examination, 30 minutes30 minutes oral examination with 30 minutes preparation time.
- Exam registration requirements
The student must hand in one project that must be approved
- Aid
- Only certain aids allowed
During the preparation time, all written aids allowed.
In the examination, some written aids allowed (keywords, main results of project, etc.) - Marking scale
- 7-point grading scale
- Censorship form
- No external censorship
Several internal examiners
- Re-exam
As the ordinary exam. If the project was not approved before the ordinary exam it must be resubmitted at the latest two weeks before the beginning of the re-exam week. The project must be approved before the re-exam
Criteria for exam assesment
The student must in a satisfactory way demonstrate that he/she has mastered the main learning objectives of the course as well as the realized projects.
Course information
- Language
- English
- Course code
- NMAK15001U
- Credit
- 7,5 ECTS
- Level
- Full Degree Master
- Duration
- 1 block
- Placement
- Block 4
- Schedule
- A
- Course capacity
- no limit
- Continuing and further education
- Study board
- Study Board of Mathematics and Computer Science
Contracting department
- Department of Mathematical Sciences
Course responsibles
- Salvador Pineda Morente