In this paper, the $\\eta$-Nash equilibrium ($\\eta$-NE) region of the two-user\nGaussian interference channel (IC) with perfect output feedback is approximated\nto within $1$ bit/s/Hz and $\\eta$ arbitrarily close to $1$ bit/s/Hz. The\nrelevance of the $\\eta$-NE region is that it provides the set of rate-pairs\nthat are achievable and stable in the IC when both transmitter-receiver pairs\nautonomously tune their own transmit-receive configurations seeking an\n$\\eta$-optimal individual transmission rate. Therefore, any rate tuple outside\nthe $\\eta$-NE region is not stable as there always exists one link able to\nincrease by at least $\\eta$ bits/s/Hz its own transmission rate by updating its\nown transmit-receive configuration. The main insights that arise from this work\nare: $(i)$ The $\\eta$-NE region achieved with feedback is larger than or equal\nto the $\\eta$-NE region without feedback. More importantly, for each rate pair\nachievable at an $\\eta$-NE without feedback, there exists at least one rate\npair achievable at an $\\eta$-NE with feedback that is weakly Pareto superior.\n$(ii)$ There always exists an $\\eta$-NE transmit-receive configuration that\nachieves a rate pair that is at most $1$ bit/s/Hz per user away from the outer\nbound of the capacity region.\n
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