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This paper proposes a distributed optimization framework for wireless multihop sensor networks base on a game theoretic approach. The authors show that the cross-layer optimization problem can be decomposed into two subproblems corresponding to two separate layers (the physical and the application layers) of the overall system. By modelling each subproblem as a noncoop-erative game, the authors aim to solve the noncovex application-layer rate-allocation and physical-layer power-allocation subproblems in a distributed manner. Further, the authors prove the existence, uniqueness, and stability of the Nash equilibria for both games under certain sufficient conditions.
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