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Revenue allocation in Formula One: a pairwise comparison approach
International Journal of General Systems ( IF 2 ) Pub Date : 2021-01-24 , DOI: 10.1080/03081079.2020.1870224
Dóra Gréta Petróczy 1 , László Csató 2, 3
Affiliation  

A model is proposed to allocate Formula One World Championship prize money among the constructors. The methodology is based on pairwise comparison matrices, allows for the use of any weighting method, and makes possible to tune the level of inequality. We introduce an axiom called scale invariance, which requires the ranking of the teams to be independent of the parameter controlling inequality. The eigenvector method is revealed to violate this condition in our dataset, while the row geometric mean method always satisfies it. The revenue allocation is not influenced by the arbitrary valuation given to the race prizes in the official points scoring system of Formula One and takes the intensity of pairwise preferences into account, contrary to the standard Condorcet method. Our suggestion can be used to share revenues among groups when group members are ranked several times.

中文翻译:

一级方程式中的收入分配:成对比较方法

提出了一种模型来在制造商之间分配一级方程式世界锦标赛奖金。该方法基于成对比较矩阵,允许使用任何加权方法,并可以调整不平等程度。我们引入了一个称为尺度不变性的公理,它要求团队的排名独立于控制不等式的参数。在我们的数据集中,特征向量方法被发现违反了这个条件,而行几何平均方法总是满足它。与标准 Condorcet 方法相反,收入分配不受一级方程式官方积分系统中对比赛奖品的任意估价的影响,并考虑了成对偏好的强度。
更新日期:2021-01-24
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