Game-Theoretic Deployment Design of Small-Cell OFDM Networks

He Gaoning (1) , Sharon Betz (2) , Merouane Debbah (3)

1 MOTOROLA - Motorola Labs
2 Chaire Radio Flexible - Chaire Radio Flexible Alcatel-Lucent/Supélec
3 E3S - Supélec Sciences des Systèmes

We present a non-cooperative game-theoretic approach for the distributed resource allocation problem in the context of multiple transmitters communicating with multiple receivers through parallel independent fading channels, which is closely related with small-cell multi-user orthogonal frequency division multiplexing (OFDM) networks, e.g., Wi-Fi hotspots. We assume that all the transmitters are rational, selfish, and each one carries the objective of maximizing its own transmit rate, subject to its power constraint. In such a game-theoretic study, the central question is whether a Nash equilibrium (NE) exists, and if so, whether the network operates efficiently at the NE.We show, for independent fading channels, there almost surely exists a unique NE. Finally we present the behavior of average network performance at the NE through numerical results, and we compare the optimal centralized approach with our decentralized approach.

Domaines: Théorie de l'information [cs.IT]; Théorie de l'information et codage [math.IT]

He Gaoning, Sharon Betz, Merouane Debbah. Game-Theoretic Deployment Design of Small-Cell OFDM Networks. Gamecomm-09, Oct 2009, Italy. 6 p. ⟨hal-00446979⟩