Loser-free competitive model based on Nash equilibrium

Loser-free competitive model based on Nash equilibrium

ˑ: 

A.L. Voynich1
PhD, Associate Professor А.I. Chikurov1
Dr.Hab., Professor V.G. Shilko2
PhD, Associate Professor S.V. Radaeva2
M.V. Petrova1
1Siberian Federal University, Krasnoyarsk
2Tomsk State University, Tomsk

The study gives theoretical and practical grounds for a mass sport competition model based on the Nash equilibrium. The model is essentially designed on the non-cooperative equilibrium concept that basically implies each player being prepared to sacrifice, to a reasonable degree, own gain for the joint benefit in the competitive process. The Nash-equilibrium-based competitive model was tested by a 3-year-long educational experiment at Magma Sport Base in Krasnoyarsk. 7-15 year-old males (n=30) were sampled for the study. As required by the Nash equilibrium concept, the children’s competitions were designed to offer a few competitive categories and formats to secure some win for each competitor. We found the proposed Nash-equilibrium-based mass competitive model being beneficial as verified by the sample progress in the precompetitive emotionality self rates that totaled 32.25 points on the Wessman-Ricks scale. In case of the total competitions, the score made 26.28 points (23% lower). The proposed Nash-equilibrium-based competitive model is recommended for application as beneficial.

Keywords: physical education, sports, mass sports, Nash equilibrium.

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