• A
  • A
  • A
  • АБВ
  • АБВ
  • АБВ
  • A
  • A
  • A
  • A
  • A
Обычная версия сайта
  • RU
  • EN
  • HSE University
  • Publications
  • Articles
  • On Effective Fine Functions for Inspection—Corruption Games (Evolutionary Approach)
  • 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
  • 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
October 19, 2026
'Cultural Studies Seeks to Understand What Lies Beneath the Surface of Everyday Things'
Maxim Zhiganov has been exploring different aspects of sound for many years—first in relation to his native Perm and then on a broader, global scale. In this interview for the HSE Young Scientists project, he talks about sound maps, the special issue of the journal Logos, and why it is important to make the familiar less clear and obvious.
October 14, 2026
At HSE University–St Petersburg, Experts Discuss How AI Changes Tourist Routes and Cultural Heritage
Neural networks are no longer simple travel assistants; now they decide what to include on the route and what to skip. Artificial intelligence changes how people perceive a place and shapes the image of tourist centres. At the II International Scientific and Practical Conference ’Information Technologies in the Preservation and Promotion of Cultural Heritage,’ researchers discussed who controls algorithmic solutions and in what ways, and whether authentic traditions get lost in them.
October 12, 2026
Road Injuries Leading Cause of Death Among Men Aged 10 to 39
Worldwide, road injuries are the leading cause of death among males aged 10–39. An international team of researchers reached this conclusion as part of the Global Burden of Disease Study 2023, analysing data from 204 countries between 1990 and 2023. Their findings have been published in The Lancet Public Health, with HSE University Professor Vasily Vlassov listed among the collaborators.

 

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

?

On Effective Fine Functions for Inspection—Corruption Games (Evolutionary Approach)

Mathematics. 2023. Vol. 11. No. 15. Article 3429.
Kolokoltsov V., Dmitri V. Vetchinnikov

In previous papers of the authors, a generalized evolutionary approach was developed for the analysis of popular inspection and corruption games. Namely, a two-level hierarchy was studied, where a local inspector I of a pool of agents (that may break the law) can be corrupted and is further controlled by the higher authority A. Here, we extend this two-level modeling by answering the following questions: (i) what levels of illegal profit r of violators and what level of bribes α (fraction of illegal profit asked as a bribe from a violator) of an inspector are feasible, that is, realizable in stable equilibria of generalized replicator dynamics; and (ii) what α can be optimal for a corrupted inspector that aims at maximizing the total profit. Concrete settings that we have in mind are illegal logging, the sales of products with substandard quality, and tax evasion.

Research target: Mathematics Law Economics and Management
Language: English
Full text
DOI
Text on another site
Keywords: corruptioninspectionIllegal logging
Publication based on the results of:
Nonstationary random environments and their applications (2023)
Similar publications
A Neural Network Approach for Generating Libration Point Orbits
Lev Pyatko, Sergey Aksenov, Regular and Chaotic Dynamics 2026 Vol. 31 No. 5 P. 794–813
In the circular restricted three-body problem, families of periodic and quasi-periodic orbits exist in the vicinity of the libration points and are of significant interest for practical applications. This work presents a neural network-based algorithm for orbit construction and station-keeping, applicable to both periodic and quasi-periodic orbits near collinear libration points. The method employs a ...
Added: October 19, 2026
Основы теории информации
Vorontsova T., М.: Академия, 2025.
The textbook has been prepared in accordance with the requirements of the federal state educational standards for secondary vocational education and is intended for studying the professional modules “Information Security in Information and Telecommunication Systems and Networks Using Software and Hardware‑Software Tools, Including Cryptographic Protection Tools” and “Information Security in Automated Systems Using Software and ...
Added: October 19, 2026
Early Career Gender Wage Gap in STEM: New Evidence from Administrative Data
Ksenia V. Rozhkova, Sergey Yu. Roshchin, Natalya K. Yemelina, Population and Economics 2026 Vol. 10 No. 3 P. 61–81
Increasing female representation in technical majors, traditionally associated with high earnings, is recognised as a mechanism for promoting gender equality in the labour market. However, if women quit STEM soon after graduation, increasing their proportion in relevant disciplines will not help reduce the gender wage gap. This paper provides new evidence of the ‘leaky pipeline’ ...
Added: October 19, 2026
Деловой климат в сфере услуг в III квартале 2026 г.
Lola I. S., Ostapkovich G. V., Asoskov D. et al., ИСИЭЗ НИУ ВШЭ, 2026.
Аналитический обзор деловых тенденций в сфере услуг в III квартале 2026 г. подготовлен Центром конъюнктурных исследований ИСИЭЗ НИУ ВШЭ. В его основу положены ежеквартальные конъюнктурные опросы руководителей организаций сферы услуг, проводимые Федеральной службой государственной статистики (Росстат). Это распространенный и действенный в международной практике статистических служб и исследовательских организаций источник информации о тенденциях циклического характера, а также метод аппроксимации ...
Added: October 19, 2026
Туземные советы в Автономной области Коми в контексте проблем национального строительства в 1920-е гг.
Боголюбов Е. А., Попов А. К., Ежегодник финно-угорских исследований 2026 Т. 20 № 3 С. 387–397
The article examines the problems of nation-building in the North-West of the RSFSR, describes the shortcomings of native legislation in relation to the Autonomous Region of Komi (Zyryan) in the 1920s. Tribal councils were established in the RSFSR as early as the first half of the 1920s. At the same time, individual regions adopted their ...
Added: October 18, 2026
Влияние интеллектуального капитала российских компаний на их интернационализацию в условиях внешних шоков
Катаев М. В., Molodchik M., AlterEconomics (ранее - Журнал экономической теории) 2026 Т. 23 № 3 С. 719–740
В данном исследовании рассматривается связь между интеллектуальным капиталом компаний и их интернационализацией в условиях внешних шоков. В отличие от предыдущих работ, как правило, рассматривающих взаимосвязь интеллектуального капитала и интернационализации в стабильной экономике, в исследовании развиваются предположения о неоднородном влиянии шоков на компоненты интеллектуального капитала и, соответственно, различном модерационном эффекте шоков на трансформацию интеллектуального капитала в экспортную ...
Added: October 17, 2026
Моментные оценки для стохастической аппроксимации
Naumov A., Рубцов А. С., Samsonov S. et al., Успехи математических наук 2026 Т. 81 № 4 (490) С. 161–162
Краткое сообщение рассматривает Моментные оценки для стохастической аппроксимации ...
Added: October 17, 2026
Нормы объективного права как средство удовлетворения законных интересов
Sharov D., Вестник экономической безопасности 2025 № 3 С. 174–177
The article deals with the issue of legal protection of legitimate interests. The specific legal means of satisfying legitimate interests are determined, representing the norms of objective law directly,subjective rights and corresponding legal obligations of private individuals, as well as the powers of officials and state bodies. Satisfaction of legitimate interests directly by the norms of objective law is considered in more detail. It is concluded that the satisfaction of legitimate interests directly by the norms of objective law is the most typical way of their legal support ...
Added: October 17, 2026
Гусева, Т. С. Значение медицинской экспертизы для трудовых и социально-обеспечительных правоотношений / Т. С. Гусева, Ю. И. Клепалова // Трудовое право в России и за рубежом. – 2026. – № 1. – С. 25-27. – DOI 10.18572/2221-3295-2026-1-25-27. – EDN WIDKNW.
Клепалова Ю. И., Трудовое право в России и за рубежом 2026 № 1 С. 25–27
The legal role of medical examinations in the field of labor and social security is investigated. It has been established how medical opinions affect the emergence and realization of workers' rights. The different importance of expertise for labor and social security legal relations is noted. It is emphasized that the role of some expertise for ...
Added: October 17, 2026
An infinite series of Gorenstein local algebras failing the affine homogeneity property
Roman Avdeev, Yulia Zaitseva, Mediterranean Journal of Mathematics 2026 Vol. 23 No. 7 Article 224
We provide an infinite series of commutative finite-dimensional Gorenstein local algebras A_n for n ≥ 2. We give an elementary proof that the maximal ideal of every algebra A_n possesses a one-dimensional subspace that is different from the socle and invariant under the automorphism group of A_n. The latter implies that the algebras A_n fail ...
Added: October 17, 2026
Гусева, Т. С. Минимальный размер оплаты труда: законодательство, судебная практика, перспективы совершенствования / Т. С. Гусева // Российское правосудие. – 2026. – № 8. – С. 57-65. – DOI 10.37399/issn2072-909X.2026.8.57-65. – EDN LPAILI.
Guseva T., Российское правосудие 2026 № 8 С. 57–65
The minimum wage is an important social standard. designed to protect workers from poverty. In recent years, the minimum wage legislation has undergone major transformations: in 2017, the concept of “minimum wage” was excluded from the Labor Code of the Russian Federation, in 2020, new rules for calculating the minimum wage based on median wages ...
Added: October 17, 2026
Состояние здоровья работника как детерминанта правового регулирования отношений в сфере труда и социального обеспечения: проблемы и перспективы
Клепалова Ю. И., Журнал российского права 2026 Т. 30 № 6 С. 73–85
A comprehensive analysis of the impact of an employee’s health status on the dynamics of legal regulation of labor and social security relations is due to the presence of gaps and contradictions in current legislation. The purpose of the study is to identify systemic problems of legal regulation in connection with the assessment of the ...
Added: October 17, 2026
Предел долга (государственный долг развитых стран — XXI век)
Бородаева В. А., Вопросы экономики 2026 № 10 С. 5–27
The paper offers a new perspective on the limit of government debt. It surveys the broad historical picture of the dynamics and character of government debt in the leading economies: the ratios of debt and debt service to GDP have risen to levels close to their half-century highs. In the regime that has taken shape ...
Added: October 16, 2026
Turbulent Exchange Tensor in the Atmospheric Boundary Layer: An Inverse-Problem Approach Using Radiosonde Wind Observations with High Vertical Resolution
Gordin V. A., Efremenko D., Boundary-Layer Meteorology 2026 Vol. 192 No. 51
An inverse problem of reconstructing the turbulent exchange tensor from large archives of observed wind profiles within the Åkerblom–Ekman (A-E) model framework is investigated using high-vertical-resolution radiosonde observations. The reconstructed tensor provides improved agreement between modeled and observed wind profiles compared to classical formulations based on real turbulent exchange coefficient. Instead of the classical A-E ...
Added: October 16, 2026
Diversity of chaos with additional zero Lyapunov exponents in heterogeneous ensemble of quasi-periodic and chaotic systems
Kuznetsov A. P., Sedova Y. V., Stankevich N., Chaos, Solitons and Fractals 2026 Vol. 213 No. 12 Article 119309
We analyze the interaction of a quasi-periodic subsystem, in which two-, three-, and four- frequency quasi-periodic oscillations are possible, with a chaotic subsystem. A discrete version is obtained via the Euler scheme from the corresponding flow model. The dynamics of individual subsystems are discussed, including quasi-periodic bifurcations of invariant tori and the occur rence of ...
Added: October 16, 2026
Чингизидское право - ius commune средневековой Евразии
Pochekaev R. Y., Lex Russica (Русский закон) 2026 Т. 79 № 9 С. 130–141
The article seeks to characterize the legal system of the Mongol Empire, which continued to operate in its successor uluses (termed here provisionally as Chinggisid law), as the ius commune of medieval Eurasia. Chinggisid law originated as the legal framework for the largest steppe empire in history and retained its relevance even after the collapse of ...
Added: October 15, 2026
Межрегиональные дисбалансы экономического роста в Китае
Mozias P., Социальные и гуманитарные науки. Отечественная и зарубежная литература. Серия 9: Востоковедение и африканистика 2026 № 3 С. 197–223
Abstract. Long-standing differences in development levels between China’s coastal and inland provinces intensified during the 1980s–1990s, at the early stages of market reforms. In response, from the late 1990s the Сentral government began implementing major development initiatives such as the “Go West”, the “Revitalization of the Northeast,” and the “Rise of Central China,” while in ...
Added: October 15, 2026
Проблемные вопросы гражданско-правового положения граждан, ограниченных в дееспособности по причине психического расстройства
Dmitrieva O., Вестник Воронежского государственного университета. Серия: Право 2026 № 3(66) С. 48–56
The article compares the legal status of a citizen who is limited in their legal capacity due to a mental disorder with the legal status of other categories of citizens who do not have full legal capacity. The article concludes that the legal status of a person who is limited in their legal capacity due ...
Added: October 14, 2026
The Relationship of Micro and Macro Worries on the Acceptability of Corruption: The Role of Basic Human Values
Maklasova E., Tatarko A., Boehnke K., Psychology in Russia: State of the Art 2026 Vol. 19 No. 2
Background. Corruption severely threatens societal stability and well-being, with various factors contributing to its prevalence. This study, relying on theory and empirical research on the relationship between suffering and fraud, offers a new explanation, that worries may be an essential factor in the acceptability of corruption. People’s worries are the consequences of suffering they experience throughout ...
Added: June 24, 2026
«По Семейкину веленью»: древнейшее дело о коррупции в Русском государстве (1593–1594 гг.)
Аракчеев В. А., Древняя Русь. Вопросы медиевистики 2024 Т. 97 № 3 С. 104–116
The article is devoted to the phenomenon of corruption in the Russian state at the end of the 16th century. The study was carried out on the basis of an archival file, which was not published and was not reflected in the published works of historians. The purpose of the article is to reconstruct the ...
Added: June 11, 2026
Коррупция в системе местного управления Русского государства (по следственным делам 1590-1630-х гг.)
Аракчеев В. А., Вестник Волгоградского государственного университета. Серия 4: История. Регионоведение. Международные отношения 2024 Т. 29 № 5 С. 15–27
Introduction.  The purpose of the article is to study how corruption was understood in the Moscow state and how the fight against it was carried out in the system of local government to show the vector of institutional shift in the Russian state of the late 16th – first third of the 17th century. Methods and ...
Added: June 11, 2026
No Success Without Approval: The Role of Administrative Resources in the Russian Electoral Process
Barsukova S., Denisova-Schmidt E., Journal of Eurasian Studies 2026 Vol. 17 No. 1 P. 19–32
Based on interviews with political strategists, officials from regional administrations, and CEOs, this article describes the mechanism for using administrative resources in the electoral process in Russia. Administrative resources are the set of informal or semi-formal practices used by government officials to ensure a predetermined result in an election. These resources are deployed to keep ...
Added: February 7, 2026
Notes on the Ciris
Shumilin M., Philologia Classica 2025 Vol. 20 No. 1 P. 34–41
In this article, three textually problematic passages from the Ciris, a variously dated short poem from the Appendix Vergiliana, are discussed. In line 63, it is suggested that B. Kayachev’s proposal to change erroribus auctor to auctoribus error should be accompanied by an emendation of istorum to est idem (the meaning of the line will ...
Added: September 14, 2025
Factors of socio-political (in)stability in West Africa
Shishkina A., Korotayev A., Вестник РГГУ. Серия «Политология. История. Международные отношения» 2024 No. 5 P. 12–34
Recently, West Africa is represented in the research literature as the epicenter of socio-political instability. That is most relevant for such countries asMali, Nigeria or Burkina Faso. However, it is worth saying that, despite a number of factors that could lead to potential destabilization in Ghana, the country has been characterized in recent years by a ...
Added: August 11, 2025
  • 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