Geodesic
Team-Bounded DEA Efficiency Scores: The Case of UEFA Champions League Players
Yugoslav journal of operations research, Tome 34 (2024) no. 1, p. 135

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Measuring the efficiency of a football player is an interesting task. Every player invests time and energy to produce an outcome during the game that can lead to a better score for the team. However, football is a team sport, thus the synergy of the entire team is an invisible factor that influences the outcomes a player produces. In this paper, we introduce a novel efficiency estimation model based on the data envelopment analysis that incorporates the team effect in the efficiency score. To achieve this effect, we presented data envelopment analysis models using a single mathematical model. This allows us to define lower and upper bounds on the team efficiency score. More specifically, we introduce a novel type of assurance region constraint around the team performance such that the efficiency score cannot exceed γ times the average team efciency score. The results of the proposed mathematical model on the UEFA Champions League 2021/22 season show that efficiency scores can be heavily affected by inefficient teammates. However, if the entire team performed well, the drop in efficiency scores is insignificant.
Classification : 90C05 90C90
Keywords: Efficiency, DEA, linear programming, football, sports analytics 
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     author = {Luka Ivanovi\'c and Sandro Radovanovi\'c and Gordana Savi\'c and Boris Deliba\v{s}i\'c and Milena Popovi\'c},
     title = {Team-Bounded {DEA} {Efficiency} {Scores:} {The} {Case} of {UEFA} {Champions} {League} {Players}},
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     url = {http://geodesic.mathdoc.fr/item/YJOR_2024_34_1_a6/}
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Luka Ivanović; Sandro Radovanović; Gordana Savić; Boris Delibašić; Milena Popović. Team-Bounded DEA Efficiency Scores: The Case of UEFA Champions League Players. Yugoslav journal of operations research, Tome 34 (2024) no. 1, p. 135 . http://geodesic.mathdoc.fr/item/YJOR_2024_34_1_a6/