Bachelor
2024/2025
Methods of Decision-Making
Category 'Best Course for New Knowledge and Skills'
Type:
Compulsory course (Computational Social Sciences)
Area of studies:
Applied Mathematics and Information Science
Delivered by:
Department of Mathematics
Where:
Faculty of Social Sciences
When:
3 year, 1, 2 module
Mode of studies:
distance learning
Online hours:
8
Open to:
students of one campus
Language:
English
ECTS credits:
4
Contact hours:
52
Course Syllabus
Abstract
The course presents fundamental concepts, models and different applications in decision-making, with a focus on formal methods and mathematical modeling. It examines both classical and modern frameworks, including the analysis and optimization of individual and collective choices. The program covers a wide range of models, including multicriterial decision-making, network analysis, power distribution in collective bodies, matching theory, and fair division. Special attention is given to game-theoretic approaches, methods of efficiency evaluation, and rules of collective choice and voting. Theoretical results are consistently illustrated by applications to real-world cases in economics, politics, and social systems. The course aims to provide students with a comprehensive understanding of how decision-making models are constructed and applied, to develop the ability to select rational strategies in complex environments, and to form analytical skills for evaluating and comparing different mechanisms of choice.
Learning Objectives
- Know principles of mathematical models construction in decision analysis
- Be able to choose rational options in practical decision-making problems
- Have skills in analysis of game-theoretic models
Expected Learning Outcomes
- 1 - Know principles of mathematical models construction in decision analysis
- 2 - Be able to choose rational options in practical decision-making problems
- 3 - Have skills in analysis of game-theoretic models
Course Contents
- Topic 1. Introduction.
- Topic 2. Multicriterial Decision Making (MCDM).
- Topic 3. Voting rules and collective choice.
- Topic 4. Power distribution in international organizations.
- Topic 5. Network analysis.
- Topic 6. Double-sided matchings.
- Topic 7. Fair division.
- Topic 8. Game-theoretic models.
Interim Assessment
- 2024/2025 2nd module0.5 * Exam + 0.05 * Homework + 0.05 * Homework + 0.2 * Test 1 + 0.2 * Test 2
