Geodesic
Probabilistic analysis of tournament organization systems
Modelirovanie i analiz informacionnyh sistem, Tome 23 (2016) no. 4, pp. 492-507

Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper a criteria of comparison of different tournament organization systems in sporting contests is offered; the criteria uses the probability of winning the fairly strongest player. Two probabilistic models have been analyzed. Calculating formulas for estimating the probability and probability density of score points gained by one or another player were obtained. Some really used tournament systems were analyzed with the stochastic modeling method. The available results also provide an order of objects presenting to experts while organizating the examination by paired comparison. An analytical estimation of probability of tournament results (or pared comparison) was obtained. In many cases it allows to avoid a time-consuming procedure of sorting out possible variants.
Keywords: tournament organization, probability, paired comparisons. 
@article{MAIS_2016_23_4_a7,
     author = {A. M. Tsirlin and Al. A. Akhremenkov},
     title = {Probabilistic analysis of tournament organization systems},
     journal = {Modelirovanie i analiz informacionnyh sistem},
     pages = {492--507},
     publisher = {mathdoc},
     volume = {23},
     number = {4},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MAIS_2016_23_4_a7/}
}
TY  - JOUR
AU  - A. M. Tsirlin
AU  - Al. A. Akhremenkov
TI  - Probabilistic analysis of tournament organization systems
JO  - Modelirovanie i analiz informacionnyh sistem
PY  - 2016
SP  - 492
EP  - 507
VL  - 23
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MAIS_2016_23_4_a7/
LA  - ru
ID  - MAIS_2016_23_4_a7
ER  - 
%0 Journal Article
%A A. M. Tsirlin
%A Al. A. Akhremenkov
%T Probabilistic analysis of tournament organization systems
%J Modelirovanie i analiz informacionnyh sistem
%D 2016
%P 492-507
%V 23
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MAIS_2016_23_4_a7/
%G ru
%F MAIS_2016_23_4_a7
A. M. Tsirlin; Al. A. Akhremenkov. Probabilistic analysis of tournament organization systems. Modelirovanie i analiz informacionnyh sistem, Tome 23 (2016) no. 4, pp. 492-507. http://geodesic.mathdoc.fr/item/MAIS_2016_23_4_a7/