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Consider a wireless broadcast device-to-device (D2D) network wherein users'devices are interested in receiving some popular files. Each user's devicepossesses part of the content which is acquired in previous transmissions andcooperates with others to recover the missing packets by exchanging InstantlyDecodable Network Coding (IDNC) packets. Recently, a distributed solution,relying on a non-cooperative game-theoretic formulation, has been proposed toreduce the communication time for fully connected D2D networks, i.e.,single-hop D2D networks. In this paper, we develop a distributedgame-theoretical solution to reduce the communication time for a more realisticscenario of a decentralized and partially connected, i.e., multi-hop,IDNC-enabled D2D network. The problem is modeled as a coalition game withcooperative-players wherein the payoff function is derived so that decreasingindividual payoff results in the desired cooperative behavior. Given theintractability of the formulation, the coalition game is relaxed to a coalitionformation game (CFG) involving the formation of disjoint coalitions. Adistributed algorithm relying on merge-and-split rules is designed for solvingthe relaxed problem. The effectiveness of the proposed solution is validatedthrough extensive numerical comparisons against existing methods in theliterature.

Coalition Formation Game for Delay Reduction in Instantly Decodable Network Coding Assisted D2D Communications