MATHEMATICAL METHODS AND MODELS FOR STUDYING CORRUPTION IN ORGANIZATIONAL SYSTEMS
Keywords:Сorruption, mathematical modeling, detection, localization and measurement of corruption, organizational system, expertise.
AbstractContext. In the process of functioning of various organizational expert systems – economic, social, militarized – the task of detecting,
localizing and measuring the level of corruption in the system arises. These tasks are solved on the basis of various data obtained
during observations and experiments on the system. However, there is no single method for processing information to solve these problems.
This paper proposes such a technique, based on a comparison of assessments of the same indicators of evaluated objects, given
by various experts.
Objective. The purpose of the article is to develop a fully formalized method for detecting, localizing and measuring the level of
corruption in an organizational system consisting of experts, based on the assessments given to objects.
Method. The method proposed in the article consists in the presentation of an organizational system of m experts conducting an
examination of the object with n indicators by means of a (m× n) -matrix B = bij . Here bij – is the assessment given by the i -th
expert to the j-th indicator of the object. In this case a system with ideal (non-corrupted) experts corresponds to a matrix B with equal
elements in any column and, accordingly, with matching lines. In a system with non-ideal (corrupt) experts, the matrix B does not have
this property. This allows you to enter an indicator of the absolute level of corruption in the system as the sum of the distances between
the results of the examination of various experts.
Result. A general analytical expression is obtained for absolute level of corruption in systems with arbitrary B,m and n . The maximum
possible value of this indicator is found. An algorithm for detecting corruption in organizational systems is given, based on a
comparison of calculated absolute level of corruption and its maximum allowable level. The problem of detecting corruption in a complex
system, where objects with several indicators pass the examination, is also solved. Examples of detecting and measuring corruption
in real expert systems are given.
Conclusions. A new approach to mathematical modeling of corruption processes in organizational expert systems, based on the use
of a matrix of assessments of various indicators of evaluated objects by different experts of the system, is proposed. This approach, in
contrast to the established practice, allows us to find uniform solutions of various problems of studying corruption in systems of this
type. These are tasks of detecting, localizing and measuring corruption. The direction as a whole is proposed to be called corrumetry.
Ожегов С. И. Словарь русского языка / С. И. Ожегов. – М. : Русский язык, 1984.
Словарь иностранных слов. – М. : Русский язык, 1989.
Локшина С. М. Краткий словарь иностранных слов / С. М. Локшина. – М. : Русский язык, 1977.
Hornby A. S. Oxford Advances Learner’s Dictionary of Current English / A. S. Hornby. – Oxford, 1988.
Калинин Б. Ю. Политолого-методологические аспекты проблем коррупции в современной России / Б. Ю. Калинин, С. В. Калинина, Э. В. Сумачев // Социология социальных трансформаций. Сборник научных трудов. – Нижний Новгород : НИСОЦ, 2003.
Statistika-korruptsii-v-mire // vavilon.ru.
Corruption Perceptions Index 2017. Survays 21.02.2018 //Transparency International.
Bardhan P. Corruption and Development / P. Bardhan // Journalof Economic Literature. – 1997. – Vol. 25. – P. 1350.
Tanzi V. Corruption Governmental Activities and Markets / V. Tanzi // IMH Working Paper. – 1999. – № 94, https://ssrn.com.
Glaeser E. L. Corruption and Reform: an Introduction / E. L. Glaeser // Working Paper 10775, https://www.nber.org/papers/ W10775.
Leff N. H. Economic Development Through Bureaucratic Corruption / N. H. Leff // American Behavioral Scietnist. – 1964. – Vol. 62, № 2. – P. 337–341.
Leite C. Does Mother Nature Corrupt? Natural Resources, Corruption and Economic Growth / C. Leite, J. Weidmann // Washington: International Monetary Fund. – 1999. – Working Paper № 85.
Tanzi V. Corruption, Public Investment and Growth / V. Tanzi, H. Davoodi // Washington: International Monetary Fund. – 1997. – Working Paper № 139.
Mauro P. Corruption and Growth / P. Mauro // Quarterly Journal of Economic. – 1995. – Vol. 110, № 3. – P. 681–712.
Svensson J. Eight Questions about Corruption / J. Svensson // Journal of Economic Perspectives. – 2005. – Vol. 19, № 3. – P. 19–42.
Houston D.A. Can Corruption Ever Improve an Economy / D.A. Houston // Cato Journal. – 2007. – Vol. 27, № 3. – P. 350–378.
Левин В. И. Проблема коррупции в современной России: положение и перспективы решения / В. И. Левин // Вестник Тамбовского государственного технического университета. – 2004. – Том 10, № 3.
How to Cite
Copyright (c) 2020 V. I. Levin
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
Creative Commons Licensing Notifications in the Copyright Notices
The journal allows the authors to hold the copyright without restrictions and to retain publishing rights without restrictions.
The journal allows readers to read, download, copy, distribute, print, search, or link to the full texts of its articles.
The journal allows to reuse and remixing of its content, in accordance with a Creative Commons license СС BY -SA.
Authors who publish with this journal agree to the following terms:
Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License CC BY-SA that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work.