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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Русский
