A potential function view of information theoretic interference games

Recently, Berry-Tse introduced a model for information theoretic games on interference channels, which combines game theory and information theory to analyze the interaction of selfish users. The fundamental quantity in such games is the Nash equilibrium region which has been characterized in several specific interference channels. This paper uses the game theoretic techniques of potential functions to study this region for general K-user linear deterministic interference channels. In particular, it is shown that the Nash equilibrium region is non-empty for any such K-user interference channel.