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In this paper, we address the caching problem in small cell networks from agame theoretic point of view. In particular, we formulate the caching problemas a many-to-many matching game between small base stations and serviceproviders' servers. The servers store a set of videos and aim to cache thesevideos at the small base stations in order to reduce the experienced delay bythe end-users. On the other hand, small base stations cache the videosaccording to their local popularity, so as to reduce the load on the backhaullinks. We propose a new matching algorithm for the many-to-many problem andprove that it reaches a pairwise stable outcome. Simulation results show thatthe number of satisfied requests by the small base stations in the proposedcaching algorithm can reach up to three times the satisfaction of a randomcaching policy. Moreover, the expected download time of all the videos can bereduced significantly.

Many-to-Many Matching Games for Proactive Social-Caching in Wireless Small Cell Networks