• A
  • A
  • A
  • АБВ
  • АБВ
  • АБВ
  • A
  • A
  • A
  • A
  • A
Обычная версия сайта
  • RU
  • EN
  • HSE University
  • Publications
  • Articles
  • Reduction theorems in the Social Choice Theory
  • RU
  • EN
Расширенный поиск
Высшая школа экономики
Национальный исследовательский университет
Priority areas
  • business informatics
  • economics
  • engineering science
  • humanitarian
  • IT and mathematics
  • law
  • management
  • mathematics
  • sociology
  • state and public administration
by year
  • 2028
  • 2027
  • 2026
  • 2025
  • 2024
  • 2023
  • 2022
  • 2021
  • 2020
  • 2019
  • 2018
  • 2017
  • 2016
  • 2015
  • 2014
  • 2013
  • 2012
  • 2011
  • 2010
  • 2009
  • 2008
  • 2007
  • 2006
  • 2005
  • 2004
  • 2003
  • 2002
  • 2001
  • 2000
  • 1999
  • 1998
  • 1997
  • 1996
  • 1995
  • 1994
  • 1993
  • 1992
  • 1991
  • 1990
  • 1989
  • 1988
  • 1987
  • 1986
  • 1985
  • 1984
  • 1983
  • 1982
  • 1981
  • 1980
  • 1979
  • 1978
  • 1977
  • 1976
  • 1975
  • 1974
  • 1973
  • 1972
  • 1971
  • 1970
  • 1969
  • 1968
  • 1967
  • 1966
  • 1965
  • 1964
  • 1963
  • 1958
  • More
Subject
News
September 9, 2026
‘Balkan Hospitality Opens Doors: Studying Dialects on the Verge of Extinction
You cannot study spoken dialects from books. Instead, you need to go to a village, seek out its elders, and earn the trust of local residents before you can record hours of spontaneous stories. This is how Natalia Muravleva, Associate Professor at the Faculty of Humanities, conducts her research. Her internship in Serbia continued her long-standing study of dialects spoken by Macedonian settlers. In this interview, she discusses how diaspora cultural centres help researchers reach informants, why native speakers need to be interviewed only in their own language (otherwise, as she puts it, they may 'break'), and how a single field season helped her finalise her monograph. She also shares warm memories of autumn in Belgrade and of colleagues with whom grammar can be discussed in three languages at once.
September 9, 2026
Scientists Train Neural Network to Generate Process Plans from 3D Models
Researchers at the HSE FCS AI and Digital Science Institute have developed CAD2TechSpec, a framework that converts 3D models of mechanical parts into machining process plans—step-by-step instructions for machine tools. The solution aims to reduce the time required for the design and preparation of technical process documentation in mechanical engineering, aircraft manufacturing, and other high-tech industries. The study findings have been published in PeerJ Computer Science.
September 7, 2026
Biologists Discover 'Molecular Fingerprint' of Preeclampsia
Researchers at HSE University employed a new method to model hypoxia in placental cells during pregnancies complicated by preeclampsia and identified molecular markers of tissue hypoxia. Since hypoxia is one of the key mechanisms underlying preeclampsia, these findings are important for a more accurate and timely diagnosis of the disease and for the development of effective treatment methods. The paper has been published in Placenta.

 

Have you spotted a typo?
Highlight it, click Ctrl+Enter and send us a message. Thank you for your help!

Publications
  • Books
  • Articles
  • Chapters of books
  • Working papers
  • Report a publication
  • Research at HSE

?

Reduction theorems in the Social Choice Theory

Journal of Mathematical Sciences. 2023. Vol. 272. No. 5. P. 667–671.
N. L. Polyakov, Shamolin M. V.

In the paper, combinatorial theorems related to the theory of social choice are obtained. These theorems describe general conditions under which the problem on the preserving the preference set D by anarbitrary aggregation rule f and the problem on the compatibility of the preference set D with a pair (f,C) can be reduced to similar problems for two specific aggregation rules: the majority rule maj and the “counting rhyme” rule cog. Results are obtained within the framework of clone approach in the theory of social choice proposed by S.Shelah and developed by the authors.

Research target: Mathematics Other social sciences
Language: English
Full text
DOI
Text on another site
Keywords: preferencessocial choice theoryaggregation rules
Similar publications
Модели музеефикации индустриального наследия и их роль в брендинге туристических дестинаций
Карпова Д. А., Sizova I., Gordin V. E., Креативные индустрии 2026 Т. 2 № 2 С. 10–31
This article examines the musealisation of industrial heritage and its role in regional and corporate branding. The relevance of this study stems from deindustrialisation processes, the growth of industrial tourism, and the need to preserve historical memory, which is particularly important in the context of Russian realities—the lack of a legal definition of the concept ...
Added: September 9, 2026
Многокритериальные задачи с упорядоченными по важности группами критериев (II). Решающие правила
Podinovskiy V. V., Нелюбин А. П., Автоматика и телемеханика 2026 № 8 С. 110–123
Для многокритериальных задач принятия решений по аналогии с качественной вероятностью введены понятия полной и частичной качественной важности как бинарных отношений, обладающих постулируемыми свойствами. Предложено новое определение отношения нестрогого предпочтения на множестве вариантов решений, порождаемое качественной важностью. Исследованы его свойства. Указаны аналитические правила, позволяющие попарно сравнивать варианты по предпочтительности. Проведено сравнение новых отношений предпочтения с разработанными ранее для задач, ...
Added: September 9, 2026
Теоретические основы и методы анализа решений в условиях неопределенности при качественных оценках вероятностей и предпочтений
Podinovskiy V. V., Нелюбин А. П., Автоматика и телемеханика 2026 № 7 С. 113–126
Рассматриваются задачи принятия решений, когда предпочтения оцениваются в порядковой шкале, а возможности реализации значений неопределенного фактора описываются качественной вероятностью (полной или только частичной). Вводятся определения отношений предпочтения и безразличий на множестве стратегий. Предлагаются простые решающие правила, позволяющие сравнивать стратегии по предпочтительности, и приводятся иллюстративные примеры. ...
Added: September 9, 2026
Degree-based topological co-indices for QSPR modelling of benzenoid hydrocarbons: a comparative computational study
Chemical Papers 2026
Benzenoid hydrocarbons are structurally regular aromatic compounds, which makes them well suited for quantitative structure–property relationship (QSPR) studies. This study presents a QSPR analysis of nineteen benzenoid hydrocarbon species using degree-based topological co-indices. We developed a Python program to compute eleven degree-based topological co-indices from molecular graphs and evaluated their ability to explain variations in ...
Added: September 8, 2026
On phase-lock area parquet in a special slow-fast limit of model of Josephson junction.
Glutsyuk A., / Series arXiv "math". 2026.
B.Josephson (Nobel Prize, 1973) predicted a tunnelling effect for a system of two superconductors separated by a narrow dielectric (such a system is called Josephson junction): existence of a supercurrent through it and equations governing it. The overdamped Josephson junction is modeled by the family of differential equations on the 2-torus, dθdτ=1ω(cosθ+B+Acosτ), which is known as ...
Added: September 8, 2026
On exotic rationally integrable dual billiards I. Complex geometry and type of dynamics.
Glutsyuk A., / Series arXiv "math". 2026.
A planar dual billiard is a planar curve γ equipped with a family (σP)|P∈γ of projective involutions of the projective lines LP tangent to γ at P that fix P. A dual billiard is called rationally integrable, if there exists a rational function R(x,y) of two variables (called first integral) whose restriction to each tangent ...
Added: September 8, 2026
Dynamical systems on torus related to general Heun equations: phase-lock areas and constriction breaking
Alexandrov A., Glutsyuk A., Journal of Differential Equations 2026 Vol. 465 Article 114178
The overdamped Josephson junction in superconductivity theory can be modeled by the family of dynamical systems on the torus, which is known as the RSJ model. This family admits an equivalent description by a family of second-order differential equations: special double confluent Heun equations. In the present paper, we construct two new families of dynamical systems on ...
Added: September 8, 2026
On rationally integrable planar dual and projective billiards
Glutsyuk A., Inventiones Mathematicae 2026 Vol. 245 P. 977–1058
A caustic of a strictly convex planar bounded billiard is a smooth curve whose tangent lines are reflected from the billiard boundary to its tangent lines. The famous Birkhoff Conjecture, studied by many mathematicians, states that if the billiard boundary has an inner neighborhood foliated by closed caustics, then it is an ellipse. In the paper we study ...
Added: September 8, 2026
Rational p-adic Hodge theory for d-de Rham-proper stacks
Prikhodko Artem, Kubrak D., Compositio Mathematica 2026 Vol. 162 No. 6 P. 1377–1438
In this follow-up paper we show that smooth Hodge-proper stacks over O𝐾 are ℚ𝑝-locally acyclic: namely the natural map between étale ℚ𝑝-cohomology of the algebraic and Raynaud generic fibers is an equivalence. This establishes the ℚ𝑝-case of general conjectures made in D. Kubrak and A. Prikhodko [p-adic Hodge theory for Artin stacks, Mem. Amer. Math. ...
Added: September 7, 2026
Lower Bounds on the Measure of the Support of Positive and Negative Parts of Trigonometric Polynomials
Ismailov A., Constructive Approximation 2026
The measure of the positivity set {x ∈ [0; 2π] | f (x) > 0} of a trigonometric polynomial f  is bounded from below by the Motzkin density. We generalize the bound to polynomials in several variables and almost periodic functions. We then use these generalizations to extend known results on Taikov’s problem. ...
Added: September 7, 2026
Variational representation of weighted divergencies and error exponent function
Kelbert M., Statistics 2026 Vol. 60
We present variational representations for the weighted divergencies and exponential error function, and discuss implications for the statistical inference and entropic optimal transport. ...
Added: September 7, 2026
Конечные последовательности и перестановки, ими порождаемые
Kucheryavyy P., Математические заметки 2026 Т. 2026 № 120 С. 380–401
В работе изучаются перестановки, возникающие при упорядочивании по возрастанию дробных долей произведений элементов фиксированной целочисленной последовательности на вещественный параметр. Исследуется количество различных перестановок, которые можно получить таким образом при изменении этого параметра от нуля до единицы. ...
Added: September 7, 2026
Факторы устойчивой интеграции университетских музеев в образовательный процесс
Rossinskaya A., Борусяк Л. Ф., Киктева К. С. et al., Высшее образование в России 2026 Т. 35 № 7 С. 144–168
Статья посвящена анализу образовательной деятельности университетских музеев России. Актуальность исследования обусловлена противоречием между высоким образовательным потенциалом музеев и фрагментарностью его реализации, а также отсутствием в литературе системного анализа условий интеграции музеев в учебный процесс высшей школы. Несмотря на признание музеев важными центрами сохранения наследия и популяризации науки, вопрос об их реальной включённости в повседневную образовательную жизнь вузов ...
Added: September 6, 2026
«Дорогой друг» и его взрослый: с кем говорит современная детская краеведческая книга.
Rossinskaya A., Детские чтения 2026 Т. 29 № 1 С. 100–128
The article analyzes how authors and publishers construct the addressee in contemporary Russian children’s local history literature. The study draws on the theoretical concepts of the implied reader, paratext, dual address, and the mediation of reading. The empirical basis comprises the author’s collection of 62 children’s local history books published between 2003 and 2025 in ...
Added: September 6, 2026
Относительные аналитические законы взаимности
Осипов Д.В., Математический сборник 2026 Т. 217 № 9 С. 130–146
Изучаются законы взаимности, связанные с комплексными линейными расслоениями на расслоениях на ориентируемые окружности. В частности, доказывается следующий закон взаимности. Пусть B – комплексное многообразие и πi:Mi→B – расслоение на ориентируемые окружности, где индекс i пробегает конечное множество. Пусть Li и Ni – комплексные линейные расслоения на каждом многообразии Mi. Закон взаимности утверждает, что сумма всех элементов (πi)∗(c1(Li)∪c1(Ni)), где (πi)∗ – ...
Added: September 3, 2026
Orbifold Saito theory of A and D type singularities
Basalaev A., Rarovskii A., Journal of Singularities 2026 Vol. 30 P. 61–80
Saito theory associates to an isolated singularity rich structure that plays an important role in mirror symmetry. In this note we construct Saito theory for A and D type Landau-Ginzburg orbifolds. Namely, for the pairs (f,G), where f defines an isolated singularity of A and D type and G is a group of symmetries of ...
Added: September 1, 2026
On one class of non-local aggregation rules
N. L. Polyakov, Shamolin M. V., Journal of Mathematical Sciences 2025 Vol. 292 No. 6 P. 793–803
The paper proves a number of properties of a class of non-local aggregation rules that simulate dynamic aggregation. The work is based on the clan approach in the theory of collective choice, which was proposed by S. Shelah and developed by the authors. ...
Added: October 8, 2025
Preferences over Mixed Manna
Alexander Karpov, , in: Data Analysis and Optimization. In Honor of Boris Mirkin's 80th Birthday.: Springer, 2023. P. 169–178.
Added: September 25, 2023
On the safety of group manipulation
Peters H., Yuliya Veselova, Social Choice and Welfare 2023 Vol. 61 No. 3 P. 713–732
Groups of voters have more possibilities to influence the voting result than separate individuals. However, there is a problem with coordinating their actions. This paper considers manipulation by groups of voters who have the same preferences. If a voting result is more preferable for voters of a particular group provided that all its members use ...
Added: August 31, 2023
Об устойчивости результатов для правил агрегирования
Karabekyan D., Журнал Новой экономической ассоциации 2022 № 5(57) С. 24–37
Some distortions are possible in the process of preference aggregation. For example, one voter who is pivotal for some preference profi le may not read instructions properly and accidently submit wrong preference. We study how different voting rules react to these distortions for three, four and fi ve alternatives with computer modelling. One of the ...
Added: January 17, 2023
СПЕЦИФИКА ТЕОРИИ СПРАВЕДЛИВОСТИ И ПРОБЛЕМА ЕЕ ПРИМЕНИМОСТИ В РОССИИ
Kashnikov B., Человек 2021 Т. 32 № 3 С. 76–87
The theory of justice by John Rawls belongs to the set of “local” theories in ethics. These theories constitute a middle ground between strong ethical theories and the so-called “anti-theories”. The local theories do not possess many specific features of the grand theories, but also are lacking many of the drawbacks, for which they are attacked by the “antitheorists”. These ...
Added: September 26, 2021
Теоремы о редукции в теории коллективного выбора
Polyakov N. L., Шамолин М. В., Итоги науки и техники. Современная математика и ее приложения. Тематические обзоры 2020 Т. 174 С. 46–51
In the paper, combinatorial theorems relating to the theory of social choice are obtained.These theorems describe general conditions under which theproblem on the preserving the preferencesetDby an arbitrary aggregation rulefand the problem on the compatibility of the preference setDwith a pair(f,C)can be reduced to similar problems for two specific aggregation rules: the majority rulemaj and ...
Added: October 13, 2020
Роль ценностей высококвалифицированных специалистов при выборе организации-работодателя
Savinova I. A., Stroh W. A., Мир психологии. Научно-методический журнал 2020 № 3 (103) С. 173–184
Article presents the results of empirical issue aimed at studying the values of highly qualified specialists and their preferences in choosing the organization for employment. Date was obtained by using a mixed-method design with combining qualitative (interview) and quantitative (survey) methods. Established results made it possible to identify and characterize the hierarchical structure of values ...
Added: October 8, 2020
Fair Mixing: the case of dichotomous preferences
Moulin H., Bogomolnaia A., Aziz H., , in: Proceeding of the ACM Conference EC19.: Association for Computing Machinery (ACM), 2019. P. 753–781.
We consider a setting in which agents vote to choose a fair mixture of public outcomes. The agents have dichotomous preferences: each outcome is liked or disliked by an agent. We discuss three outstanding voting rules. The Conditional Utilitarian rule, a variant of the random dictator, is strategyproof and guarantees to any group of like-minded ...
Added: October 23, 2019
  • About
  • About
  • Key Figures & Facts
  • Sustainability at HSE University
  • Faculties & Departments
  • International Partnerships
  • Faculty & Staff
  • HSE Buildings
  • HSE University for Persons with Disabilities
  • Public Enquiries
  • Studies
  • Admissions
  • Programme Catalogue
  • Undergraduate
  • Graduate
  • Exchange Programmes
  • Summer University
  • Summer Schools
  • Semester in Moscow
  • Business Internship
  • Research
  • International Laboratories
  • Research Centres
  • Research Projects
  • Monitoring Studies
  • Conferences & Seminars
  • Academic Jobs
  • Yasin (April) International Academic Conference on Economic and Social Development
  • Media & Resources
  • Publications by staff
  • HSE Journals
  • Publishing House
  • iq.hse.ru: commentary by HSE experts
  • Library
  • Economic & Social Data Archive
  • Video
  • HSE Repository of Socio-Economic Information
  • HSE1993–2026
  • Contacts
  • Copyright
  • Privacy Policy
  • Site Map
Edit