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Stackelberg Game For Joint Power And Bandwidth Allocations Over Amplify And Forward (Af) Cooperative Communications

2169 words - 9 pages

Amplify and forward cooperative communication scheme is modeled using Stackelberg market framework, where
a relay is willing to sell its resources; power and bandwidth to multi-user in the system in order to maximize its
revenue. The relay determines the prices for relaying users’ information depending on its available resources and the
users’ demands. Subsequently, each user maximizes its own utility function by determining the optimum power and
the optimum bandwidth to buy from the relay. The utility function of the user is formulated as a joint concave function
of the power and the bandwidth. The existence and the uniqueness of the Nash equilibrium is investigated using the
exact potential game associated with the proposed utility function. The optimum solution (Nash equilibrium) can be
obtained in a centralized manner, which requires full knowledge of all the channel conditions and seems impractical.
Therefore, a distributed algorithm can be applied to obtain the solution with minimum information exchange between
the relay and the users. The convergence of the algorithm is investigated using the Jacobian matrix at the Nash
equilibrium. Furthermore, The optimum prices for the power and the bandwidth can also be obtained in a distributed
manner. Numerical simulations are used to verify the validation of the distributed algorithms.
Amplify and forward cooperative communication scheme is modeled using Stackelberg market framework, where
a relay is willing to sell its resources; power and bandwidth to multi-user in the system in order to maximize its
revenue. The relay determines the prices for relaying users’ information depending on its available resources and the
users’ demands. Subsequently, each user maximizes its own utility function by determining the optimum power and
the optimum bandwidth to buy from the relay. The utility function of the user is formulated as a joint concave function
of the power and the bandwidth. The existence and the uniqueness of the Nash equilibrium is investigated using the
exact potential game associated with the proposed utility function. The optimum solution (Nash equilibrium) can be
obtained in a centralized manner, which requires full knowledge of all the channel conditions and seems impractical.
Therefore, a distributed algorithm can be applied to obtain the solution with minimum information exchange between
the relay and the users. The convergence of the algorithm is investigated using the Jacobian matrix at the Nash
equilibrium. Furthermore, The optimum prices for the power and the bandwidth can also be obtained in a distributed
manner. Numerical simulations are used to verify the validation of the distributed algorithms.I. INTRODUCTION
Cooperative wireless networks have been adopted in order to address the requested increase in capacity and to
improve wireless link performance. In cooperative communication relays are utilized to provide reliable, high data
rates and efficient...

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