Магистратура
2025/2026
Дизайн механизмов: аксиоматический подход
Лучший по критерию «Полезность курса для Вашей будущей карьеры»
Лучший по критерию «Полезность курса для расширения кругозора и разностороннего развития»
Статус:
Курс по выбору (Экономика и экономическая политика)
Кто читает:
Департамент математики
Где читается:
Факультет экономических наук
Когда читается:
2-й курс, 1, 2 модуль
Охват аудитории:
для своего кампуса
Преподаватели:
Доган Эмре
Язык:
английский
Кредиты:
6
Course Syllabus
Abstract
Collective decision making is a challenging process for a society. Oftentimes it is delegated to carefully crafted rules or mechanisms which becomes well working institutions in the long run if they meet certain axioms testing the desirability of outcomes. The goal of the course is to give the students a broader sense of understanding of at times seemingly not very related branches of literatures within theoretical microeconomics from the unifying perspective of axiomatic mechanism design. We start with an introduction to social choice theory, mechanism design, and implementation of social choice functions. Then, we move on to discussing the well-known solutions in the literature for all the following problems and their axiomatic analysis on the basis of various versions of fairness, efficiency, consistency and incentive compatibility criteria: Assignment, random assignment, congested assignment, matching, school choice problems, fair allocation of goods and objects with and without transfers, cooperative game theory, and cost sharing problems.
Learning Objectives
- Be able read the modeling section of academic papers in the topics discussed in the lecture, understand the axioms, their nature, relevance and their logical conclusions. Moreover, given the results mechanism and the papers discussed in the lectures, students should be able to understand the relevance and the contribution of an academic paper to the literature when they read it.
Expected Learning Outcomes
- Students should easily read and understand basics of the modeling part in the academic papers.
- Students should easily read and understand basics of the modeling part in the academic papers. They should know the axioms and their implications in various models including choice, social choice, assignment, matching, school choice, cooperative games, and fair allocation. They should be able to understand formal statements and prove formal statements. Then should understand strategic issues associated with the rule/mechanism design.
- Students should read academic papers academic papers on social choice theory and they should be able to observe the consequence of theoretical results of the theory in real life applications of collective choice
- Student should be able to read academic papers on object allocation problems and execute the rules they learn in the lectures when necessary in a real world application
- Students should be able to contemplate about the consequences of any collective choice procedure in real life where people are acting strategically.
- Students should be able to decide how to model real life scenarios and contemplate on the choice of axioms relevant for the real life scenario in hand.
- Students should be able to contemplate on the consequences of congestion effects and apply random assignment rules in real life applications of assignment problems
- Students should be able to find the stable outcomes in any two-sided matching environment and decide on which stable matching is more relevant in the corresponding environment.
- Students should be able to contemplate on the advantages and disadvantages of different school choice mechanisms and decide which one would give better outcomes depending on the specific environment, its legal procedures and social norms.
- Students should be able to contemplate on and apply various fairness notions in environments where the real world application in hand fits the transferable utility setup
- Students should be able to apply strategy-proof mechanisms in real life assignment problems and contemplate on alternative mechanisms when the environment is slightly different than the benchmark model
Course Contents
- Preference, utility and choice
- Object assignment problem with or without ownership
- Social Choice Theory
- Strategy-proofness and an introduction to mechanism design
- Modeling and axioms
- Assignment (deterministic)
- Random assignment and congested assignments
- Two-sided matching
- School Choice
- Cooperative games and fair division/allocation
Interim Assessment
- 2025/2026 2nd module0.29 * Homework + 0.29 * Presentation + 0.29 * Midterm + 0.13 * Attendance
Bibliography
Recommended Core Bibliography
- Aleskerov F., Bouyssou D., Monjardet B. ‘Utility Maximization, Choice and Preference’, Springer Verlag, Berlin, 2007
- Fuad Aleskerov, Denis Bouyssou, & Bernard Monjardet. (2007). Utility Maximization, Choice and Preference. Post-Print. Retrieved from http://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsrep&AN=edsrep.p.hal.journl.halshs.00197186
- Haeringer, G. (2018). Market Design: Auctions and Matching. The MIT Press. Retrieved from http://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsrep&AN=edsrep.b.mtp.titles.0262037548
- Market design : auctions and matching, Haeringer, G., 2017
Recommended Additional Bibliography
- Axioms of cooperative decision making, 332 p., Moulin, H., 1991
- Cooperative microeconomics: a game-theoretic introduction, Moulin, H., 2016
- Handbook of social choice and welfare. Vol.1: ., , 2002
- Handbook of social choice and welfare. Vol.2: ., , 2011
- Microeconomic theory, Mas-Collel, A., 1995
- Two-sided matching: a study in game-theoretic modeling and analysis, Roth, A. E., 1992
- Utility maximization, choice and preference : with 49 figures and 28 tables, Aleskerov, F., 2007
- Utility maximization, choice and preference, Aleskerov, F., 2002