A Data-Driven Optimization of Voting Mechanisms in Dancing with the Stars

Jiaming Wei; Yue Chen

doi:10.54691/45f56620

Authors

Jiaming Wei School of Resources and Earth Sciences, China University of Mining and Technology, Xuzhou, Jiangsu, 221116, China
Yue Chen School of Optoelectronic Engineering, Xidian University, Xi’an, Shaanxi, 710071, China

DOI:

https://doi.org/10.54691/45f56620

Keywords:

Voting mechanism optimization, fan vote estimation, fairness, entropy regularization, Choquet integral, dynamic intervention.

Abstract

The reality show "Dance with the Stars" studied in this article will refer to the scores played by the judges and the votes cast by the fans, and finally decide whether the participants can be promoted, but there has always been a relatively obvious conflict between the evaluation results of professional judges and the fan support based on public popularity. When this study was conducted, it was constructed to build a framework based on actual data, with the aim of reducing the proportion of weekly fan votes, comparing the actual role of different voting methods, and designing fairer promotion decision-making rules. This article first uses sequential secondary programming to solve the entropy regular single-goal optimization model, estimates the previously unknown fan voting relative distribution, the estimation process will ensure that the observed elimination results and the actual broadcast content are consistent. This article also compared the actual performance of the ranking system and the percentage rating across the season, and found that the ranking system will amplify the influence of fan voting, which is easy to cause more controversy. This paper also conducted research through two analytical methods of multivariate regression and random forest, and found that the performance of the participating stars and dance partners has a major impact on the evaluation of professional judges, and the popularity of the players is mainly determined by their popularity in the entertainment industry and their own age. This article finally designed the dual quantitative integration and dynamic intervention, that is, the working mechanism of DWF-DI, which combines the scoring information given by the judges with the voting information of the fans, with the Choquet-integral consensus reward rule, and the restriction double threshold jury intervention rule. Subsequent backtests show that this mechanism designed in this article can reduce the scoring controversy in the program, while not making the audience lose interest in the program, and it is also very practical to use it.

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