SylabUZ
| Course name | Decision Analysis and Decision Theory |
| Course ID | 11.1-WK-DEED-DADT-S22 |
| Faculty | Faculty of Mathematics, Computer Science and Econometrics |
| Field of study | Data Engineering |
| Education profile | academic |
| Level of studies | Second-cycle studies leading to MS degree |
| Beginning semester | summer term 2023/2024 |
| Semester | 2 |
| ECTS credits to win | 5 |
| Available in specialities | Business analytics |
| Course type | optional |
| Teaching language | english |
| Author of syllabus |
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| The class form | Hours per semester (full-time) | Hours per week (full-time) | Hours per semester (part-time) | Hours per week (part-time) | Form of assignment |
| Lecture | 30 | 2 | - | - | Exam |
| Class | 15 | 1 | - | - | Credit with grade |
| Project | 15 | 1 | - | - | Credit with grade |
Introduction of the student to the selected methods, models and applications of decision analysis and decision theory.
Knowing of Basic Linear Algebra, Discrete Mathematics (Graph Theory), Probability Theory. Knowing of basic models of Operations Research.
Lecture/classes/project
1. Decision making and optimization. Examples of classical optimization models. Multicriterial approach and uncertainty in decision making.
2. Multicriteria programming. Methods and examples of applications.
3. Multicriteria decision analysis in the discrete case (finite set of alternatives) - the methods ELECTRE, PROMETHEE and AHP.
4. Decision making under uncertainty and risk. Multi-stage decision processes. Decision trees.
5. Elements of game theory - theorems on equilibria, prisonner's dilemma, ultimatum game, examples of applications of games in economics.
6. Preference models. Preference relations and utility functions. Properties of preference relations. Complete preorders, linear orders and interval orders. Representations of
preference relations by utility function. Valued relations as preference models.
7. Multiple-criteria and group preferences. Pareto optimum. Group and social choice. Methods and rules of social choice. Condorcet paradox and Arrow’s theorem.
8. Voting as a method of group decision making. Methods of voting and election systems. Methods of apportionment.
9. Fair division. Methods and formal approaches.
10. Matching and recruitment systems. Gale-Shapley model.
Traditional lecture. Blackboard exercises consisting in individual, supported by the teacher, solving exercises, group discussions on the methods of solving exercises, individual
consultations, realization of individual project.
| Outcome description | Outcome symbols | Methods of verification | The class form |
The final grade from the subject takes into account grade from the classes (30%), grade from the project (30%) and grade from the exam (40%) under the assumption that the
student has achieved all assumed educational outcomes at a sufficient degree.
1.J. Curwin, R. Slater, Quantitative Methods for Business Decisions, Cengage Learning
EMEA, 1991
2. B. Roy, Multicriteria Methodology for Decision Aiding, Springer 1996
Modified by dr Maciej Niedziela (last modification: 30-04-2024 17:10)
