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In this paper, the problem of distributed caching in dense wireless smallcell networks (SCNs) is studied using mean field games (MFGs). In theconsidered SCN, small base stations (SBSs) are equipped with data storage unitsand cooperate to serve users' requests either from files cached in the storageor directly from the capacity-limited backhaul. The aim of the SBSs is todefine a caching policy that reduces the load on the capacity-limited backhaullinks. This cache control problem is formulated as a stochastic differentialgame (SDG). In this game, each SBS takes into consideration the storage stateof the other SBSs to decide on the fraction of content it should cache. Tosolve this problem, the formulated SDG is reduced to an MFG by considering anultra-dense network of SBSs in which the existence and uniqueness of themean-field equilibrium is shown to be guaranteed. Simulation results show thatthis framework allows an efficient use of the available storage space at theSBSs while properly tracking the files' popularity. The results also show that,compared to a baseline model in which SBSs are not aware of the instantaneoussystem state, the proposed framework increases the number of served files fromthe SBSs by more than 69%.

Mean-Field Games for Distributed Caching in Ultra-Dense Small Cell Networks