R. W. Rosenthal, A class of games possessing pure-strategy Nash equilibria, Int. J. Game Theory, vol.2, issue.1, pp.65-67, 1973.

D. Monderer and L. S. Shapley, Potential Games, Games and Economic Behavior, vol.14, issue.1, pp.124-143, 1996.

R. Southwell, Y. Chen, J. Huang, and Q. Zhang, Convergence Dynamics of Graphical Congestion Games, Game Theory for Networks, number 105 in Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, pp.31-46, 2012.

M. Penn, M. Polukarov, and M. Tennenholtz, Congestion games with load-dependent failures: Identical resources, Games and Economic Behavior, vol.67, issue.1, pp.156-173, 2009.

I. Milchtaich, Representation of finite games as network congestion games, Int. J. Game Theory, vol.42, issue.4, pp.1085-1096, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00644369

J. Khamse-ashari, I. Lambadaris, G. Kesidis, B. Urgaonkar, and Y. Zhao, An Efficient and Fair Multi-Resource Allocation Mechanism for Heterogeneous Servers, IEEE Trans. Parallel Distrib. Syst, vol.29, issue.12, pp.2686-2699, 2018.

Q. Zhu and J. C. Oh, Equality or Efficiency: A Game of Distributed Multi-type Fair Resource Allocation on Computational Agents

, ACM International Conference on Web Intelligence and Intelligent Agent Technology (WI-IAT), vol.2, pp.139-142, 2015.

C. Alós, -. Ferrer, and F. Shi, Imitation with asymmetric memory, Economic Theory, vol.49, issue.1, pp.193-215, 2012.

C. Alós, -. Ferrer, and K. H. Schlag, Imitation and Learning, pp.271-297, 2009.

S. Iellamo, L. Chen, and M. Coupechoux, Proportional and double imitation rules for spectrum access in cognitive radio networks, Computer Networks, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00823365

X. Chen and J. Huang, Imitative spectrum access, 2012 10th International Symposium on Modeling and Optimization in Mobile, Ad Hoc and Wireless Networks (WiOpt), pp.145-152, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00763413

A. Mahajan and D. Teneketzis, Foundations and Applications of Sensor Management, chapter Multi-armed Bandit Problems, pp.121-151, 2007.

A. Anandkumar, N. Michael, and A. Tang, Opportunistic Spectrum Access with Multiple Users: Learning under Competition, Proc. IEEE International Conference on Computer Communication (INFOCOM), 2010.

X. Chen and J. Huang, Spatial spectrum access game: nash equilibria and distributed learning, Proceedings of the thirteenth ACM international symposium on Mobile Ad Hoc Networking and Computing, MobiHoc '12, pp.205-214, 2012.

R. Southwell, J. Huang, and X. Liu, Spectrum mobility games, Proceedings IEEE INFOCOM, pp.37-45, 2012.

K. Cohen, A. Nedi?, and R. Srikant, Distributed Learning Algorithms for Spectrum Sharing in Spatial Random Access Wireless Networks, IEEE Trans. Autom. Control, vol.62, issue.6, pp.2854-2869, 2017.

M. Hasanbeig and L. Pavel, On Synchronous Binary Log-Linear Learning and Second Order Q-learning??This work was supported by an NSERC grant. IFAC-PapersOnLine, vol.50, pp.8987-8992, 2017.

J. R. Marden and A. Wierman, Distributed Welfare Games, Operations Research, vol.61, issue.1, pp.155-168, 2013.

G. Ellison, Basins of Attraction, Long-Run Stochastic Stability, and the Speed of Step-by-Step Evolution, Review of Economic Studies, vol.67, 2000.

B. Mawlawi, J. Dore, N. Lebedev, and J. Gorce, Multiband CSMA/CA with RTS-CTS strategy, IEEE 10th International Conference on Wireless and Mobile Computing, Networking and Communications (WiMob), pp.628-633, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01096277

J. R. Marden and J. S. Shamma, Revisiting log-linear learning: Asynchrony, completeness and payoff-based implementation, Games and Economic Behavior, vol.75, issue.2, pp.788-808, 2012.

R. Jain, D. Chiu, and W. Hawe, A Quantitative Measure of Fairness and Discrimination for Resource Allocation in Shared Computer Systems, 1984.

J. Bergin and B. L. Lipman, Evolution with State-Dependent Mutations, Econometrica, vol.64, issue.4, pp.943-956, 1996.

H. P. Young, The Evolution of Conventions, Econometrica, vol.61, issue.1, pp.57-84, 1993.

A. Vetta, Nash equilibria in competitive societies, with applications to facility location, traffic routing and auctions, The 43rd Annual IEEE Symposium on Foundations of Computer Science, pp.416-425, 2002.

, ); and has recently joined Amadeus IT Services UK Limited where he serves as a Product Definition Analyst in the London R&D division. His interests revolve around spectrum access, critical communications, Stefano Iellamo is Product Definition Analyst at Amadeus IT Services UK Limited. He obtained his Master from Politecnico di Milano (2009) and his Ph.D. from Telecom ParisTech, pp.2017-2019, 2014.