]. S. Références and . Haykin, Cognitive radio : brain-empowered wireless communications, IEEE Journal on Selected Areas in Communications, vol.23, issue.12, pp.201-220, 2005.

V. Asghari and S. Aissa, Adaptive Rate and Power Transmission in Spectrum-Sharing Systems, IEEE Transactions on Wireless Communications, vol.9, issue.10, pp.3272-3280, 2010.
DOI : 10.1109/TWC.2010.090210.100291

R. Zhang, On Active Learning and Supervised Transmission of Spectrum Sharing Based Cognitive Radios by Exploiting Hidden Primary Radio Feedback, IEEE Transactions on Communications, vol.58, issue.10, pp.2960-2970, 2010.
DOI : 10.1109/TCOMM.2010.082710.090412

A. Bagayoko, I. Fijalkow, and P. Tortelier, Power Control of Spectrum-Sharing in Fading Environment With Partial Channel State Information, IEEE Transactions on Signal Processing, vol.59, issue.5, pp.2244-2256, 2011.
DOI : 10.1109/TSP.2011.2107905

URL : https://hal.archives-ouvertes.fr/hal-00664183

K. Eswaran, M. Gastpar, and K. Ramchandran, Bits through ARQs: Spectrum Sharing with a Primary Packet System, 2007 IEEE International Symposium on Information Theory, 2007.
DOI : 10.1109/ISIT.2007.4557542

R. A. Tannious and A. Nosratinia, Cognitive Radio Protocols Based on Exploiting Hybrid ARQ Retransmissions, IEEE Transactions on Wireless Communications, vol.9, issue.9, pp.2833-2841, 2010.
DOI : 10.1109/TWC.2010.062910.091162

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.310.3272

D. P. Bertsekas and S. E. Shreve, Stochastic optimal control : the discrete time case Mathematics in science and engineering, 1978.

E. Altman, Constrained Markov decision processes. Stochastic modeling, 1999.
URL : https://hal.archives-ouvertes.fr/inria-00074109

J. Frederick, . Beutler, W. Keith, and . Ross, Optimal policies for controlled markov chains with a constraint, Journal of Mathematical Analysis and Applications, vol.112, issue.1, pp.236-252, 1985.

M. Levorato, U. Mitra, and M. Zorzi, Cognitive interference management in retransmission-based wireless networks. Information Theory, IEEE Transactions on, vol.58, issue.5, pp.3023-3046, 2012.

M. Zorzi and R. R. Rao, On the use of renewal theory in the analysis of ARQ protocols, IEEE Transactions on Communications, vol.44, issue.9, pp.1077-1081, 1996.
DOI : 10.1109/26.536913

G. Caire and D. Tuninetti, The throughput of hybrid-ARQ protocols for the Gaussian collision channel, IEEE Transactions on Information Theory, vol.47, issue.5, pp.1971-1988, 2001.
DOI : 10.1109/18.930931

S. Sesia, G. Caire, and . Vivier, Incremental Redundancy Hybrid ARQ Schemes Based on Low-Density Parity-Check Codes, IEEE Transactions on Communications, vol.52, issue.8, pp.1311-1321, 2004.
DOI : 10.1109/TCOMM.2004.833022

A. Yuille and A. Rangarajan, The Concave-Convex Procedure, Neural Computation, vol.39, issue.4, pp.915-951, 2003.
DOI : 10.1162/08997660260028674