2134/9576 Amod J.G. Anandkumar Amod J.G. Anandkumar Animashree Anandkumar Animashree Anandkumar Sangarapillai Lambotharan Sangarapillai Lambotharan Jonathon Chambers Jonathon Chambers Robust rate maximization game under bounded channel uncertainty Loughborough University 2012 Game theory Nash equilibrium Rate maximization Robust games Waterfilling CSI uncertainty Mechanical Engineering not elsewhere classified 2012-03-28 10:22:29 Journal contribution https://repository.lboro.ac.uk/articles/journal_contribution/Robust_rate_maximization_game_under_bounded_channel_uncertainty/9576224 We consider the problem of decentralized power allocation for competitive rate maximization in a frequency-selective Gaussian interference channel under bounded channel uncertainty. We formulate a distribution-free robust framework for the rate maximization game. We present the robust optimization equilibrium for this game and derive sufficient conditions for its existence and uniqueness. We show that an iterative waterfilling algorithm converges to this equilibrium under certain sufficient conditions. We analyze the social properties of the equilibrium under varying channel uncertainty bounds for the two-user case. We also observe an interesting phenomenon that the equilibrium moves toward a frequency-division multiple-access solution for any set of channel coefficients under increasing channel uncertainty bounds. We further prove that increasing channel uncertainty can lead to a more efficient equilibrium and, hence, a better sum rate in certain two-user communication systems. Finally, we confirm, through simulations, that this improvement in equilibrium efficiency is also observed in systems with a higher number of users.