2nd International ICST Workshop on Game Theory in Communication Networks

Research Article

A Game-Theoretic Approach to Decentralized Optimal Power Allocation for Cellular Networks

  • @INPROCEEDINGS{10.4108/ICST.VALUETOOLS2008.4519,
        author={Shrutivandana Sharma and Demosthenis Teneketzis},
        title={A Game-Theoretic Approach to Decentralized Optimal Power Allocation for Cellular Networks},
        proceedings={2nd International ICST Workshop on Game Theory in Communication Networks},
        publisher={ACM},
        proceedings_a={GAMECOMM},
        year={2010},
        month={5},
        keywords={},
        doi={10.4108/ICST.VALUETOOLS2008.4519}
    }
    
  • Shrutivandana Sharma
    Demosthenis Teneketzis
    Year: 2010
    A Game-Theoretic Approach to Decentralized Optimal Power Allocation for Cellular Networks
    GAMECOMM
    ICST
    DOI: 10.4108/ICST.VALUETOOLS2008.4519
Shrutivandana Sharma1,*, Demosthenis Teneketzis1,*
  • 1: Electrical Engineering and Computer Science, University of Michigan, Ann Arbor
*Contact email: svandana@umich.edu, teneket@eecs.umich.edu

Abstract

The rapidly growing demand for wireless communication makes efficient power allocation a critical factor in the network's efficient operation. Power allocation in cellular networks with interference, where users are selfish, has been recently studied by pricing methods. However, pricing methods do not result in efficient/optimal power allocations for such systems for the following reason. Because of interference, the communication between the BS and a given user is affected by that between the BS and all other users. Thus, the vector consisting of the transmission power in each BS-user link can be viewed as a public good which simultaneously affects the utilities of all the users in the network. It is well known [11, Chapter 11.C] that in public good economies, standard efficiency theorems on market equilibrium do not apply and pricing mechanisms do not result in globally optimal allocations. In this paper we study power allocation in the presence of interference for a single cell wireless CDMA network from a game theoretic perspective. We consider a network where each user knows only its own utility and the channel gain from the base station to itself. We formulate the downlink power allocation problem as a public good allocation problem. We present a game form the Nash Equilibria of which yield power allocations that are optimal solutions of the corresponding centralized downlink network.