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In this paper, we introduce a game theoretic framework for studying theproblem of minimizing the completion time of instantly decodable network coding(IDNC) for cooperative data exchange (CDE) in decentralized wireless network.In this configuration, clients cooperate with each other to recover the erasedpackets without a central controller. Game theory is employed herein as a toolfor improving the distributed solution by overcoming the need for a centralcontroller or additional signaling in the system. We model the session byself-interested players in a non-cooperative potential game. The utilityfunction is designed such that increasing individual payoff results in acollective behavior achieving both a desirable system performance in a sharednetwork environment and the Pareto optimal solution. Through extensivesimulations, our approach is compared to the best performance that could befound in the conventional point-to-multipoint (PMP) recovery process. Numericalresults show that our formulation largely outperforms the conventional PMPscheme in most practical situations and achieves a lower delay.

A Game Theoretic Approach to Minimize the Completion Time of Network Coded Cooperative Data Exchange