Non Cooperative Power Control Game with New Pricing for Wireless Ad Hoc Networks

Sanjay Kumar Suman, Dhananjay Kumar, L. Bhagyalakshmi · International Review on Computers and Software (IRECOS) · 2014

One of the recognizable features in wireless ad hoc networks is lack of any central coordinator in which every node selects its own transmission power. As a result, some nodes transmit at the maximum power and impose extra interference on other nodes. To combat the interference, other nodes also behave the same manner which causes faster discharge of battery power and results poor connectivity. Many algorithms have been proposed in game theoretic framework to alleviate this problem and most of which are based on linear pricing scheme. This paper proposes a new pricing scheme in non cooperative power control game for wireless ad hoc network which not only restricts the nodes using maximum transmission power but also ensures adequate quality of services. The existence of Nash equilibrium is proved mathematically. It has been shown that, beyond this point nodes don’t get any benefit by increasing their transmission power. Through the numerical results it is demonstrated that with this proposed scheme (NCPCG) the nodes are encouraged to consume less transmission power for their mutual benefits while still achieving the maximum utility

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