The consumption of online videos on the Internet grows every year, making it a market that increasingly generates a greater volume of income. This paper deals with a problem of great interest in this context: the allocation of the generated revenues in a video website between the website and the video creators. For this, we consider a dynamic model of the revenues generation. We will consider that revenue can come from two sources: through the pay-per-view system and through the insertion of advertisements in the videos. Then to study how to divide the revenues in a reasonable and fair way between the two parties, we consider a dynamic cooperative game that reflects the importance of each part in generating revenue. From this game, we determine how its Shapley value is and introduce other allocation rules derived from it. We provide a structure of algorithm to calculate the Shapley value and its derived rules. We show that the computational complexity of the algorithms is polynomial. Finally, we provide some illustrative examples and simulations to illustrate how the proposed allocation rules perform.

翻译：互联网在线视频消费量逐年增长，使其成为收入规模持续扩大的市场。本文聚焦于该背景下一个极具关注度的问题：视频网站与视频创作者之间的收入分配机制。为此，我们构建了收入生成的动态模型。研究假设收入源自两种渠道：按次付费系统与视频内嵌广告投放。为探究如何在双方之间实现合理公平的收入分割，我们引入了一个反映各方创收贡献度的动态合作博弈。基于该博弈，我们求解了夏普利值（Shapley value）的表达式，并提出了由此衍生的其他分配规则。进一步地，我们设计了用于计算夏普利值及其衍生规则的算法架构，并证明算法复杂度为多项式时间。最后通过案例分析与数值仿真，验证了所提分配规则的实际效果。