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Бакалавриат 2024/2025

Методы принятия решений

Лучший по критерию «Новизна полученных знаний»
Статус: Курс обязательный (Вычислительные социальные науки)
Направление: 01.03.02. Прикладная математика и информатика
Когда читается: 3-й курс, 1, 2 модуль
Формат изучения: с онлайн-курсом
Онлайн-часы: 8
Охват аудитории: для своего кампуса
Язык: английский
Кредиты: 4
Контактные часы: 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

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

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

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.
Assessment Elements

Assessment Elements

  • non-blocking Homework
  • non-blocking Test 1
  • non-blocking Test 2
  • non-blocking Exam
Interim Assessment

Interim Assessment

  • 2024/2025 2nd module
    0.5 * Exam + 0.05 * Homework + 0.05 * Homework + 0.2 * Test 1 + 0.2 * Test 2
Bibliography

Bibliography

Recommended Core Bibliography

  • An introduction to game theory, Osborne, M. J., 2009
  • Utility maximization, choice and preference : with 49 figures and 28 tables, Aleskerov, F., 2007

Recommended Additional Bibliography

  • Theory of choice, Aizerman, M., 1995

Authors

  • Miachin Aleksei Leonidovich
  • ALESKEROV FUAD TAGI OGLY