Assessing the Efficiency of Sports in Using Financial Resources with DEA Models

This paper presents and compares two different DEA models used to evaluate the efficiency of Brazilian Olympic Confederations in using the financial funds (from the Agnelo/Piva Law in 2011) e transform them into results, that is, medals. We use two different models, in both models the funds coming from the Agnelo/Piva Law distributed in 2011 is considered as an input, in order to evaluate how efficiently these funds were being converted into results by each one. The main difference between these two models is how each one of them used the data related to the number of gold medals offered by each sport in 2011 Guadalajara Pan American Games and also the data related to the number of gold, silver and bronze medals won by each sport during this same competition. The number of gold medals offered represent a proxy for difficulty measure in winning a medal. The first model considered these data as a second input and the number of gold, silver and bronze medals won by each sport were considered as outputs. The second model used only the funds received by each Confederation as an input and it used three outputs, which were formed by a ratio of the first model's output to the number of gold medals offered by each sport. After comparing these models, the results obtained by each one of them are presented and discussed in order to determine the best approach to perform an efficiency evaluation of Olympic sports