Shannon meets nash on the interference channel

Randall A. Berry, David N.C. Tse

Research output: Contribution to journalArticlepeer-review

35 Scopus citations

Abstract

The interference channel is the simplest communication scenario where multiple autonomous users compete for shared resources. We combine game theory and information theory to define the notion of a Nash equilibrium region of the interference channel. The notion is game theoretic: it captures the selfish behavior of each user as they compete. The notion is also information theoretic: it allows each user to use arbitrary communication strategies as it optimizes its own performance. We give an exact characterization of the Nash equilibrium region of the two-user linear deterministic interference channel and an approximate characterization of the Nash equilibrium region of the two-user Gaussian interference channel to within 1 bit/s/Hz.

Original languageEnglish (US)
Article number5752421
Pages (from-to)2821-2836
Number of pages16
JournalIEEE Transactions on Information Theory
Volume57
Issue number5
DOIs
StatePublished - May 2011

Keywords

  • Game theory
  • HanKobayashi scheme
  • Nash equilibrium
  • interference channel

ASJC Scopus subject areas

  • Information Systems
  • Computer Science Applications
  • Library and Information Sciences

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