Бакалавриат
2026/2027
Дискретные модели в экономике
Статус:
Курс по выбору (Экономика и статистика)
Кто читает:
Департамент математики
Где читается:
Факультет экономических наук
Когда читается:
2-й курс, 3 модуль
Охват аудитории:
для своего кампуса
Язык:
английский
Кредиты:
3
Контактные часы:
40
Course Syllabus
Abstract
This course includes various models of decision-making: individual and collective, matchings and fair division problems, network analysis, and power distribution models. Decisions are often made collectively, taking into account the opinions and preferences of all members of the group: in voting problems, in problems of dividing inheritance or common property, in the distribution of seats in parliament after elections and assessing the influence of participants in an elected body, in problems of evaluating work performance in a group taking into account relationships. These and many other examples and problems in the socio-economic and socio-political life of modern society are examined in this course.
Learning Objectives
- Study of the theoretical foundations of modern models of individual, multi-criteria and collective decision-making in economics and business
- Study of the principles of construction, analysis and evaluation of formalized mathematical models describing real situations
- Mastering the basic models of multi-criteria, individual and collective decision-making, building compliance, assessing influence in groups and evaluating the effectiveness of companies
Expected Learning Outcomes
- students will be able to use social choice functions and be aware of their properties and deficies
- Apply different methods for solving multicriteria problems
- Apply the Gale-Shapley algorithm to find a stable matching
- Evaluate the impact of group members with assistance of influence indices (Banzaf, Johnston, Shapley-Shubik, Digen-Pakel, alpha-indices)
Course Contents
- Uni- and multicriterial choice models
- Social Choice Theory
- Matchings
- Fair division
- Network analysis
- Power indices
- Political decisions
Bibliography
Recommended Core Bibliography
- Aizerman, M. A. (1985). New Problems in the General Choice Theory. Working Papers.
- Aleskerov, F., Meshcheryakova, N., & Shvydun, S. (2016). Centrality measures in networks based on nodes attributes, long-range interactions and group influence.
- Aleskerov, F., Meshcheryakova, N., Rezyapova, A., & Shvydun, S. (2018). Network analysis of international migration.
- Y. Ilker Topcu, Özay Özaydın, Özgür Kabak, & Şule Önsel Ekici. (2021). Multiple Criteria Decision Making : Beyond the Information Age (Vol. 1st ed. 2021). Springer.
Recommended Additional Bibliography
- Gregory S. Parnell, Terry Bresnick, M., Steven N. Tani, P., & Eric R. Johnson, P. (2012). Handbook of Decision Analysis. Wiley.