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A Game-Theoretic Analysis of Decode-and-Forward User Cooperation Shalinee Kishore P.C. Rossin Assistant Professor Electrical and Computer Engineering Lehigh University Abstract We present a game-theoretic analysis of decode and forward cooperation for additive white Gaussian noise (AWGN) and Rayleigh fading channels. Cooperative communications is modeled as a repeated game in which participating terminals are selfish and seek to maximize their own payoff, a general utility function that monotonically increases with signal-to-noise ratio. Results show a Nash Equilibrium in which users mutually cooperate can be obtained for AWGN channels when strict power control is enforced and users care about future payoff. The Rayleigh fading channel is studied using a two state Markov model. In this case, we show that a mutually cooperative Nash Equilibrium 1) always exists when the utility function is convex and users care somewhat about future payoff; and 2) may not always be achievable, especially in adverse channel conditions, when the utility function is concave. Examinations of several widely-used concave functions, however, demonstrate that mutual cooperation is more likely when users increase their value on future payoff or when they improve their channel conditions, e.g., by using multiple transmit antennas. Bio Shalinee Kishore is an Assistant Professor in the Department of Electrical and Computer Engineering at Lehigh University in Bethlehem, Pennsylvania. She obtained the Ph.D. and M.A. degrees in Electrical Engineering from Princeton University in 2003 and 2001, respectively, and the M.S. and B.S. degrees in Electrical Engineering from Rutgers University in 1999 and 1996, respectively. From 1994 to 2002, she has held numerous internships at AT&T, Bell Labs, and AT&T Labs-Research. Shalinee is the recipient of the Presidential Early Career Award for Scientists and Engineers, the National Science Foundation CAREER Award, the P.C. Rossin Assistant Professorship, and the AT&T Labs Fellowship Award. Her research interests are in communications theory, networks, and signal processing, with emphasis on wireless systems.