Finding Threshold Conditions for Different Objectives inSensor Networks Using Game Theory

摘要

Efficient energy usage is one of the most important issuesrnin infrastructure-less wireless sensor networks. Anrneffective way to limit unnecessary energy loss is to controlrnthe power of transmission. In this paper, we presentrna game-theoretic approach to tackle the power controlrnproblem in CDMA based distributed sensor networks.rnWe consider two complimentary objectives for the networkrnⅰ) longevity and ⅱ) reliability. Depending on therntask of the network, the end-user can program the inputrnparameters so that the network achieves one of the objectives.rnWe formulate a non-cooperative game and studyrnthe existence of Nash equilibrium for the nodes operatingrnunder incomplete information. With the help of thisrnequilibrium, we devise a distributed algorithm for optimalrnpower control and prove that the system is powerrnstable if the nodes comply with certain transmit thresholds.rnWe show that it is in the best interest of the nodesrnto remain within these thresholds. The power level atrnwhich a node must transmit, to maximize its utility, isrnalso evaluated. Numerical results prove that with thernproposed algorithm, the sensor nodes are able to achievernthe best possible utility even by consuming less power.