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SOURCE:    Almanac of Modern Science and Education. Tambov: Gramota, 2017. № 6. P. 83-85.
SCIENTIFIC AREA:    Physical-Mathematical Sciences
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ABOUT THE POSSIBILITY OF THE ANALYSIS OF FAIRNESS OF FORMULAE FOR SPORTS COMPETITIONS

Stepantsov Mikhail Evgen'evich
Keldysh Institute of Applied Mathematics of the Russian Academy of Sciences in Moscow


Abstract. For competitions in game sports a variety of tournament formulae is typical, and often one or another formula causes subjective discussions about its fairness. In this paper the author introduces objective mathematical concepts of fairness and completeness of the tournament formula based on the theory of binary relations, discusses their main properties, suggests methodology for calculating these characteristics based on the imitation approach to modeling and gives examples of such calculations.
Key words and phrases: математическое моделирование, имитационное моделирование, статистическое моделирование, спортивные соревнования, mathematical modeling, imitation modeling, statistical modeling, sports competitions
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References:
  1. Aleskerov F. T., Khabina E. L., Shvarts D. A. Binarnye otnosheniya, grafy i kollektivnye resheniya. M.: GU VShE, 2006. 298 s.
  2. Kailenov A. S. Issledovanie kharakteristik formul turnirov sportivnykh sorevnovanii pri pomoshchi matematicheskogo modelirovaniya: vypusknaya kvalifikatsionnaya rabota bakalavra NIU VShE. M., 2015. 64 s.
  3. Pryadein R. B., Stepantsov M. E. Ob odnom podkhode k imitatsionnomu modelirovaniyu sportivnoi igry s diskretnym vremenem // Komp'yuternye issledovaniya i modelirovanie. 2017. T. 9. № 2. S. 271-281.
  4. Pryadein R. B., Stepantsov M. E. Ob odnom podkhode k imitatsionnomu modelirovaniyu sportivnoi igry s nepreryvnym vremenem // Komp'yuternye issledovaniya i modelirovanie. 2014. T. 6. № 3. S. 455-460.

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