Skip to Main content Skip to Navigation
Conference papers

Nash Equilibrium for Femto-Cell Power Allocation in HetNets with channel uncertainty

Abstract : We propose power allocation among femto-base stations (femto-BSs) in a heterogeneous network (HetNet) based on non cooperative games. A minimum level of quality of service has to be guaranteed at macro-user terminals (macro-UTs). Femto-BSs are unaware of the exact values of the channel parameters between them and macro-UTs because of the lack of cooperation and fading. First, we consider the design criterion where the outage probability has to be below a certain threshold at macro-UTs. The equilibrium concept is based on the Normalized Nash Equilibrium (NNE) since it caters to the distributed setting. NNE is unique only for a certain strictly concave utility functions in this case. We introduce the concept of Weakly Normalized Nash Equilibrium (WNNE) which keeps the most of the appealing features of NNE but can be extended to a wide class of utility functions and can be incorporated with low complexity. Finally, we consider the design criterion where the expected SINR at a macro-UT has to be greater than a threshold. In this case, the NNE is always unique for any strictly concave utility functions.
Document type :
Conference papers
Complete list of metadata

Cited literature [12 references]  Display  Hide  Download
Contributor : Eitan Altman Connect in order to contact the contributor
Submitted on : Wednesday, September 23, 2015 - 10:53:20 AM
Last modification on : Thursday, January 20, 2022 - 4:19:39 PM
Long-term archiving on: : Tuesday, December 29, 2015 - 8:53:16 AM


Files produced by the author(s)


  • HAL Id : hal-01202403, version 1



Arnob Ghosh, Laura Cottatellucci, Eitan Altman. Nash Equilibrium for Femto-Cell Power Allocation in HetNets with channel uncertainty. IEEE Global Communications Conference (GLOBECOM), Dec 2015, San Diego, United States. ⟨hal-01202403⟩



Les métriques sont temporairement indisponibles