old-decision foundation-grabisch

The class of Thursday 2 October is cancelled because I will be away from Paris that week. Instead, 1 we will have an extra lecture on Wednesday 12 November, 17h00-19h00

Decision Theory

Teacher:  Michel GRABISCH
page of the course (password: FD) https://cours.univ-paris1.fr/course/view.php?id=28850

E-mail: [email protected]
ECTS: 2.5
Evaluation:   written exam
Previsional Place and time:

Prerequisites: standard mathematical background
Aim of the course:
This course is an introduction to the different aspects of decision making, and needs not any prerequisite on this topic. Its aim is to give a solid background on the domain, to put in perspective the different areas of decision making, and especially to make the student aware of the hidden difficulties in any naive approach to decision making. The course however remains general, and does not go deeply into each subdomain of decision making like decision under uncertainty and multicriteria decision making, for which more specialized courses exist.

Syllabus:
The course is divided as follows:
- Preference relations, preorders, semi-orders and interval orders and their numerical representations; measurement theory, notion of scale (interval, ratio, ordinal)
- Decision under uncertainty and risk: only a brief introduction (another course exists on this topic);
- Social choice theory, multiperson decision making: electing systems, Arrow's theorem
- Multiobjective decision making and multicriteria decision making: multiattribute utility theory, ELECTRE methods, multiobjective optimization.

References:
M. Pirlot and Ph. Vincke. Semiorders - Properties, Representations, Applications, Kluwer Academic Publishers, 1997.
J.C. Pomerol and S. Barba-Romero. Multicriterion decision in management: principles and practice, Kluwer Academic Publishers, 2000.
R.L. Keeney and H. Raiffa. Decision with Multiple Objectives, J. Wiley, 1976.
R.D. Luce and H. Raiffa. Games and decisions, J. Wiley, 1957.
F. Aleskerov and B. Monjardet. Utility, maximization, choice and preference, Springer Verlag, Studies in Economic Theory 16, 2002.