A. Ghosh, L. Cottatellucci, and E. Altman, Normalized Nash equilibrium for power allocation in femto base stations in heterogeneous network Available: https, 13th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks (WiOpt), 2015.

L. B. Le and E. Hossain, Resource allocation for spectrum underlay in cognitive radio networks, IEEE Transactions on Wireless Communications, vol.7, issue.12, pp.5306-5315, 2008.
DOI : 10.1109/T-WC.2008.070890

J. Rosen, Existence and Uniqueness of Equilibrium Points for Concave N-Person Games, Econometrica, vol.33, issue.3, pp.520-534, 1965.
DOI : 10.2307/1911749

D. Monderer and L. Shapley, Potential Games, Games and Economic Behavior, vol.14, issue.1, pp.124-143, 1996.
DOI : 10.1006/game.1996.0044

W. S. Han, Dusit Niyato and A. Hjorungnes, Game Theory in Wireless and Communication Networks: Theory, Models, and Applications, 2012.

A. Attar, M. Nakhai, and A. Aghvami, Cognitive Radio game for secondary spectrum access problem, IEEE Transactions on Wireless Communications, vol.8, issue.4, pp.2121-2131, 2009.
DOI : 10.1109/TWC.2009.080884

A. T. Hoang, Y. Liang, and M. Islam, Power Control and Channel Allocation in Cognitive Radio Networks with Primary Users' Cooperation, IEEE Transactions on Mobile Computing, vol.9, issue.3, pp.348-360, 2010.
DOI : 10.1109/TMC.2009.136

H. Yu, L. Gao, Z. Li, X. Wang, and E. Hossain, Pricing for Uplink Power Control in Cognitive Radio Networks, IEEE Transactions on Vehicular Technology, vol.59, issue.4, pp.1769-1778, 2010.
DOI : 10.1109/TVT.2010.2040492

D. I. Kim, L. B. Le, and E. Hossain, Joint rate and power allocation for cognitive radios in dynamic spectrum access environment, Wireless Communications IEEE Transactions on, vol.7, issue.12, pp.5517-5527, 2008.

A. Daoud, T. Alpcan, S. Agarwal, and M. Alanyali, A stackelberg game for pricing uplink power in wide-band cognitive radio networks, 2008 47th IEEE Conference on Decision and Control, pp.1422-1427, 2008.
DOI : 10.1109/CDC.2008.4738975

M. Razaviyayn, Z. Luo, P. Tseng, and J. Pang, A Stackelberg game approach to distributed spectrum management, 2010 IEEE International Conference on Acoustics, Speech and Signal Processing, pp.197-224, 2011.
DOI : 10.1109/ICASSP.2010.5496130

S. Guruacharya, D. Niyato, D. I. Kim, and E. Hossain, Hierarchical Competition for Downlink Power Allocation in OFDMA Femtocell Networks, IEEE Transactions on Wireless Communications, vol.12, issue.4, pp.1543-1553, 2013.
DOI : 10.1109/TWC.2013.022213.120016

Y. Su and M. Van-der-schaar, A new perspective on multi-user power control games in interference channels, IEEE Transactions on Wireless Communications, vol.8, issue.6, pp.2910-2919, 2009.
DOI : 10.1109/TWC.2009.071058

C. Yang, J. Li, and Z. Tian, Optimal Power Control for Cognitive Radio Networks Under Coupled Interference Constraints: A Cooperative Game-Theoretic Perspective, IEEE Transactions on Vehicular Technology, vol.59, issue.4, pp.1696-1706, 2010.
DOI : 10.1109/TVT.2009.2039502

J. Huang, R. Berry, and M. Honig, Distributed interference compensation for wireless networks Selected Areas in Communications, IEEE Journal on, vol.24, issue.5, pp.1074-1084, 2006.

P. Semasinghe, E. Hossain, and K. Zhu, An Evolutionary Game for Distributed Resource Allocation in Self-Organizing Small Cells, IEEE Transactions on Mobile Computing, vol.14, issue.2, pp.274-287, 2015.
DOI : 10.1109/TMC.2014.2318700

M. Bennis, S. Guruacharya, and D. Niyato, Distributed Learning Strategies for Interference Mitigation in Femtocell Networks, 2011 IEEE Global Telecommunications Conference, GLOBECOM 2011, pp.1-5, 2011.
DOI : 10.1109/GLOCOM.2011.6134218

]. Y. Xing, C. Mathur, M. Haleem, R. Chandramouli, and K. Subbalakshmi, Dynamic Spectrum Access with QoS and Interference Temperature Constraints, IEEE Transactions on Mobile Computing, vol.6, issue.4, pp.423-433, 2007.
DOI : 10.1109/TMC.2007.50

Y. Wu and D. Tsang, Distributed Power Allocation Algorithm for Spectrum Sharing Cognitive Radio Networks with QoS Guarantee, IEEE INFOCOM 2009, The 28th Conference on Computer Communications, pp.981-989, 2009.
DOI : 10.1109/INFCOM.2009.5062009

H. Li, Y. Gai, Z. He, K. Niu, and W. Wu, Optimal Power Control Game Algorithm for Cognitive Radio Networks with Multiple Interference Temperature Limits, VTC Spring 2008, IEEE Vehicular Technology Conference, pp.1554-1558, 2008.
DOI : 10.1109/VETECS.2008.362

F. Wang, M. Krunz, and S. Cui, Price-Based Spectrum Management in Cognitive Radio Networks, Selected Topics in Signal Processing, pp.74-87, 2008.
DOI : 10.1109/JSTSP.2007.914877

A. A. Kulkarni and U. V. Shanbhag, On the variational equilibrium as a refinement of the generalized Nash equilibrium, Automatica, vol.48, issue.1, pp.45-55, 2012.
DOI : 10.1016/j.automatica.2011.09.042

A. Galindo-serrano, E. Altman, and L. Giupponi, Equilibrium Selection in Interference Management Non-Cooperative Games in Femtocell Networks, Proceedings of the 6th International Conference on Performance Evaluation Methodologies and Tools, pp.198-203, 2012.
DOI : 10.4108/valuetools.2012.250306

URL : https://hal.archives-ouvertes.fr/hal-00695533

I. Akyildiz, W. Lee, M. Vuran, and S. Mohanty, NeXt generation/dynamic spectrum access/cognitive radio wireless networks: A survey, Computer Networks, vol.50, issue.13, pp.2127-2159, 2006.
DOI : 10.1016/j.comnet.2006.05.001

Q. Zhao, S. Geirhofer, L. Tong, and B. Sadler, Opportunistic Spectrum Access via Periodic Channel Sensing, IEEE Transactions on Signal Processing, vol.56, issue.2, pp.785-796, 2008.
DOI : 10.1109/TSP.2007.907867

S. Boyd and L. Vandenberghe, Convex optimization, 2007.

Q. Zhu, A Lagrangian approach to constrained potential games: Theory and examples, 2008 47th IEEE Conference on Decision and Control, pp.2420-2425, 2008.
DOI : 10.1109/CDC.2008.4738596

G. Scutari, S. Barbarossa, and D. Palomar, Potential Games: A Framework for Vector Power Control Problems With Coupled Constraints, 2006 IEEE International Conference on Acoustics Speed and Signal Processing Proceedings, pp.241-244, 2006.
DOI : 10.1109/ICASSP.2006.1660950

D. Bertsekas and J. Tsitsiklis, Parallel and distributed computation: Numerical methods, Athena Scientific, 1975.

S. Boyd, S. Kim, L. Vandenberghe, and A. Hassibi, A tutorial on geometric programming, Optimization and Engineering, vol.141, issue.1-2, pp.67-127, 2007.
DOI : 10.1007/s11081-007-9001-7