Проблема пригнічення корупції з використанням оптимального керування

The problem of corruption suppression using mathematical modeling and optimization, i.e using the Pontryagin maximum principle, was considered. The reviewing and building models for this problem was conducted. The study of corruption suppression using optimal control confirmed the assumption that co...

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Bibliographic Details
Date:2019
Main Authors: Yakovleva, A. P., Krut, V. M.
Format: Article
Language:Ukrainian
Published: The National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute" 2019
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Online Access:http://journal.iasa.kpi.ua/article/view/168449
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Journal Title:System research and information technologies

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System research and information technologies
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Summary:The problem of corruption suppression using mathematical modeling and optimization, i.e using the Pontryagin maximum principle, was considered. The reviewing and building models for this problem was conducted. The study of corruption suppression using optimal control confirmed the assumption that corruption did not have a dominant overall strategy. It is proved that there are two local stable equilibriums, namely one where everyone is corrupt and it takes corruption and another where all people are honest and corruption is uniformly condemned. Between them there is an unstable equilibrium where the level of corruption expected in accordance with the representations of citizens coincides with the actual intensity of corruption. Two cases of the corruption accumulation function were considered: linear and concave. For the linear function, the solution is found in general terms, for the concave — on several examples.