Competition in interference channels is modeled using noncooperative game theory. The well known Nash equilibrium often leads to inefficient solutions. In the current work,we study the achievable secrecy rate of a multiple-antenna(MISO) interference channel (IFC). First, we characterizethe Pareto boundary of the secrecy rate region. Next, theparameterization is exploited to compute the Nash equilibrium. In contrast to the usual case in which the rate is considered as utility function, the Nash outcome is not maximum ratio transmission (MRT), it depends on the SNR andthe channel realizations and it can be shown to be almostefficient at all SNR values. All results are illustrated bysample region plots, reaction curves, and average price ofanarchy figures.