{"title":"Models of Optimal Organization of Tax Inspection","authors":"A. A. Vasin, N. I. Tsyganov","doi":"10.1134/S1064562424602609","DOIUrl":null,"url":null,"abstract":"<p>The problem of optimal organization of state inspection with an honest head and rational auditors is considered. Audit schemes are investigated in which the honest behavior of taxpayers and auditors turns out to be resistant to coalition deviations. In addition to hierarchical structures, a three-stage scheme with cross-checking is considered. It is proved that cross-checking is never optimal. The minimum audit costs for two- and three-level structures are determined. The best option is specified depending on the model parameters.</p>","PeriodicalId":531,"journal":{"name":"Doklady Mathematics","volume":"110 2 supplement","pages":"S468 - S472"},"PeriodicalIF":0.6000,"publicationDate":"2025-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Doklady Mathematics","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1134/S1064562424602609","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
The problem of optimal organization of state inspection with an honest head and rational auditors is considered. Audit schemes are investigated in which the honest behavior of taxpayers and auditors turns out to be resistant to coalition deviations. In addition to hierarchical structures, a three-stage scheme with cross-checking is considered. It is proved that cross-checking is never optimal. The minimum audit costs for two- and three-level structures are determined. The best option is specified depending on the model parameters.
期刊介绍：
Doklady Mathematics is a journal of the Presidium of the Russian Academy of Sciences. It contains English translations of papers published in Doklady Akademii Nauk (Proceedings of the Russian Academy of Sciences), which was founded in 1933 and is published 36 times a year. Doklady Mathematics includes the materials from the following areas: mathematics, mathematical physics, computer science, control theory, and computers. It publishes brief scientific reports on previously unpublished significant new research in mathematics and its applications. The main contributors to the journal are Members of the RAS, Corresponding Members of the RAS, and scientists from the former Soviet Union and other foreign countries. Among the contributors are the outstanding Russian mathematicians.
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