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Access to online contents represents a large share of the Internet traffic.Most such contents are multimedia items which are user-generated, i.e., postedonline by the contents' owners. In this paper we focus on how those who providecontents can leverage online platforms in order to profit from their large baseof potential viewers.  Actually, platforms like Vimeo or YouTube provide tools to accelerate thedissemination of contents, i.e., recommendation lists and other re-rankingmechanisms. Hence, the popularity of a content can be increased by paying acost for advertisement: doing so, it will appear with some priority in therecommendation lists and will be accessed more frequently by the platformusers.  Ultimately, such acceleration mechanism engenders a competition among onlinecontents to gain popularity. In this context, our focus is on the structure ofthe acceleration strategies which a content provider should use in order tooptimally promote a content given a certain daily budget. Such a best responseindeed depends on the strategies adopted by competing content providers. Also,it is a function of the potential popularity of a content and the fee paid forthe platform advertisement service.  We formulate the problem as a differential game and we solve it for theinfinite horizon case by deriving the structure of certain Nash equilibria ofthe game.

Differential Games of Competition in Online Content Diffusion