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The Waterfilling Game-Theoretical Framework for Distributed Wireless Network Information Flow

Abstract : We present a general game-theoretical framework for the resource allocation problem in the down- link scenario of distributed wireless small-cell networks, where multiple access points (APs) or small base stations send independent coded network information to multiple mobile terminals (MTs) through orthogonal frequency division multiplexing (OFDM) channels. In such a game-theoretic study, the central question is whether a Nash equilibrium (NE) exists, and if so, whether the network operates efficiently at the NE. For independent continuous fading channels, we prove that the probability of a unique NE existing in the game is equal to 1. We show that this resource allocation problem can be studied as a potential game, and hence efficiently solved. We discuss the convergence of waterfilling based best-response algorithm. Finally, numerical results are provided to investigate the inefficiency of NE.
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Gaoning He, Laura Cottatellucci, Merouane Debbah. The Waterfilling Game-Theoretical Framework for Distributed Wireless Network Information Flow. EURASIP Journal on Wireless Communications and Networking, SpringerOpen, 2010, Volume 2010 (2010), Article ID 482975, 13 p. ⟨10.1155/2010/482975⟩. ⟨hal-00556137⟩

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