Nash Region of the Linear Deterministic Interference Channel with Noisy\n Output Feedback

In this paper, the $\\eta$-Nash equilibrium ($\\eta$-NE) region of the two-user\nlinear deterministic interference channel (IC) with noisy channel-output\nfeedback is characterized for all $\\eta > 0$. The $\\eta$-NE region, a subset of\nthe capacity region, contains the set of all achievable information rate pairs\nthat are stable in the sense of an $\\eta$-NE. More specifically, given an\n$\\eta$-NE coding scheme, there does not exist an alternative coding scheme for\neither transmitter-receiver pair that increases the individual rate by more\nthan $\\eta$ bits per channel use. Existing results such as the $\\eta$-NE region\nof the linear deterministic IC without feedback and with perfect output\nfeedback are obtained as particular cases of the result presented in this\npaper.\n