Bachelor
2021/2022
Choice and Decision Theory
Type:
Elective course (Applied Mathematics and Information Science)
Area of studies:
Applied Mathematics and Information Science
Delivered by:
Department of Mathematics
Where:
Faculty of Computer Science
When:
3 year, 1, 2 module
Mode of studies:
offline
Open to:
students of one campus
Language:
English
ECTS credits:
5
Contact hours:
60
Course Syllabus
Abstract
This course presents an introduction to individual and social choice and decision theory. We will introduce and analyse models of individual decision making in forms of binary relations and choice functions, their rationalization by utility functions and properties of rational choice, methods of collective decision making and their properties, problem of power evaluation and theory of matchings as an example of applied problem.
Learning Objectives
- to familiarize students with the basic concepts, models and statements of the theory of choice and decision making
- to familiarize students with the power assessment in voting and in network structures
- to familiarize students with the matching theory
Expected Learning Outcomes
- know centrality measures in networks
- know choice functions and their rationalization by utility functions and binary relations
- know properties and special classes of binary relations
- know properties of social choice rules
- know the concept of manipulation in collective decision making
- know the concept of ordinal utility
- know the deferred acceptance algorithm and be able to use it in order to find a stable matching
Course Contents
- Mathematical Model of the Decision Making Situation
- Utility, Preference and Choice
- Internal and External stability
- Networks
- Political Decision Making
- Polarization in parliaments: uni- and multidimensional cases
- Assignment problem
Assessment Elements
- homework
- mid-term examThe mid-term is a written test in StartExam platform with asynchronous proctoring by Examus. The rules of the mid-term are available at https://elearning.hse.ru/en/student_steps/ Asynchronous proctoring means that all the student's actions during the exam will be “watched” by the computer. The exam process is recorded and analyzed by artificial intelligence and a human (proctor). The mi-term consists of several questions. In some of them students should provide a short answer, in others they have to do a matching or answer the multiple choice questions. Students are not allowed to use a mobile phone or any other devices and communicate with classmates and any other people during the mid-term.Please be careful and follow the instructions (https://elearning.hse.ru/en/student_steps/) clearly!
- final examThe exam is a written test in StartExam platform with asynchronous proctoring by Examus. The rules of the exam are available at https://elearning.hse.ru/en/student_steps/ Asynchronous proctoring means that all the student's actions during the exam will be “watched” by the computer. The exam process is recorded and analyzed by artificial intelligence and a human (proctor). The exam consists of several questions. In some of them students should provide a short answer, in others they have to do a matching or answer the multiple choice questions. Students are not allowed to use a mobile phone or any other devices and communicate with classmates and any other people during the exam. Please be careful and follow the instructions (https://elearning.hse.ru/en/student_steps/) clearly!
Bibliography
Recommended Core Bibliography
- Aleskerov F., Bouyssou D., Monjardet B. ‘Utility Maximization, Choice and Preference’, Springer Verlag, Berlin, 2007
- Centrality measures in networks based on nodes attributes, long-range interactions and group infl..., Aleskerov, F., 2016
- 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
- Multidimensional polarization index and its application to an analysis of the russian state duma ..., Aleskerov, F., 2016
- Power and preferences : an experimental approach. Препринт WP7/2010/05, Aleskerov, F., 2010
Recommended Additional Bibliography
- Arrow, K. J. (2012). Social Choice and Individual Values (Vol. 3rd ed). New Haven, Conn: Yale University Press. Retrieved from http://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsebk&AN=470436
- Fuad Aleskerov, & Andrey Subochev. (2013). Modeling optimal social choice: matrix-vector representation of various solution concepts based on majority rule. Journal of Global Optimization, (2), 737. https://doi.org/10.1007/s10898-012-9907-2
- Network analysis of international migration. Препринт WP7/2016/06, Aleskerov, F., 2016
- Utility maximization, choice and preference : with 49 figures and 28 tables, Aleskerov, F., 2007