Pro-rata vs User-centric in the music streaming industry
通过内生模型比较音乐流媒体行业的两种报酬规则（按比例分配与用户中心分配），发现按比例分配在效率和公平性上均优于用户中心分配，且转换规则会扩大版税差距并降低效率。
An endogenous model, which allows the artists to determine the streaming times strategically, is used to compare two remuneration rules in the music streaming industry: Pro-rata (P rule) and User-centric (U rule). The two judgement criteria are 1. efficiency, in terms of no dominance on quality profile. 2. egalitarian fairness, in terms of the lowest royalty among all artists. Our main result is that P rule always outperforms U rule in efficiency and fairness when the superstar’s marginal cost is the lowest. This means that the transition from P rule to U rule can not only enlarge the existing royalty gap but also decrease the efficiency of the music streaming industry.