Dynamic robust games in MIMO systems

IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics

Volumn 41, Issue 4, 2011, Pages 990-1002

  Tembine, Hamidou ^a  

^a SUPELEC   (France)

Author keywords

Dynamic games; learning; multiple input multiple output (MIMO); robust games

Indexed keywords

ACTION SPACES; DYNAMIC GAME; LEARNING; LEARNING PATTERNS; LEARNING RATES; MULTIPLE INPUT MULTIPLE OUTPUT SYSTEM; MULTIPLE-INPUT-MULTIPLE-OUTPUT (MIMO); PAYOFF FUNCTION; POWER ALLOCATIONS; ROBUST GAMES; ROBUST SOLUTIONS; STOCHASTIC DIFFERENTIAL EQUATIONS; SUFFICIENT CONDITIONS;

COVARIANCE MATRIX; ORDINARY DIFFERENTIAL EQUATIONS; TELECOMMUNICATION REPEATERS; TRANSMITTERS;

MIMO SYSTEMS;

EID: 79960698799     PISSN: 10834419     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSMCB.2010.2102751     Document Type: Article

References (48)

1. T. M. Cover and J. A. Thomas, Elements of Information Theory. New York: Wiley, 1991.
2. E. Telatar, "Capacity of multi-antenna Gaussian channels," Bell Labs., Murray Hill, NJ, Tech. Rep., 1995.
3. W. Yu, W. Rhee, S. Boyd, and J. Cioffi, "Iterative water-filling for Gaussian vector multiple-access channels," IEEE Trans. Inf. Theory, vol. 50, no. 1, pp. 145-152, Jan. 2004.
4. M. Aghassi and D. Bertsimas, "Robust game theory," Math. Program., vol. 107, no. 1/2, pp. 231-273, Jun. 2006. (Pubitemid 43334021)
5. A. J. Anandkumar, A. Anandkumar, S. Lambotharan, and J. Chambers, "Robust rate maximization game under bounded channel uncertainty," in Proc. IEEE ICASSP, Mar. 2010, pp. 3158-3161.
6. Y. Wu, K. Yang, J. Huang, X. Wang, and M. Chiang, "Distributed robust optimization part II: Wireless power control," J. Optim. Eng., 2009, submitted for publication.
7. G. Scutari, D. P. Palomar, J. S. Pang, and F. Facchinei, "Flexible design of cognitive radio wireless systems: From game theory to variational inequality theory," IEEE Signal Process. Mag., vol. 26, no. 5, pp. 107-123, Sep. 2009.
8. G. Arslan, M. F. Demirkol, and Y. Song, "Equilibrium efficiency improvement in MIMO interference systems: A decentralized stream control approach," IEEE Trans. Wireless Commun., vol. 6, no. 8, pp. 2984-2993, Aug. 2007. (Pubitemid 47295189)
9. G. Arslan, M. F. Demirkol, and S. Yüksel, "Power games in MIMO interference systems," in Proc. GameNets, Istanbul, Turkey, May 2009, pp. 52-59.
10. L. Lai and H. El Gamal, "The water-filling game in fading multipleaccess channels," IEEE Trans. Inf. Theory, vol. 54, no. 5, pp. 2110-2122, May 2008. (Pubitemid 351689551)
11. H. Tembine, E. Altman, R. El-Azouzi, and Y. Hayel, "Evolutionary games in wireless networks," IEEE Trans. Syst., Man, Cybern. B, Cybern.-Special Issue on Game Theory, vol. 40, no. 3, pp. 634-646, Jun. 2010.
12. H. Tembine, A. Kobbane, and M. El Koutbi, "Robust power allocation games under channel uncertainty and time delays," in Proc. IFIP Wireless Days, 2010, pp. 1-5.
13. Q. Zhu, H. Tembine, and T. Baar, "Heterogeneous learning in zero-sum stochastic games with incomplete information," in Proc. 49th IEEE CDC, 2010, pp. 1-6.
14. S. M. Perlaza, H. Tembine, and S. Lasaulce, "How can ignorant but patient cognitive terminals learn their strategy and utility," in Proc. IEEE SPAWC, 2010, pp. 1-5.
15. H. Tembine, "Distributed strategic learning in dynamic robust games: Dynamics, algorithms and applications," Lecture Notes, Supelec, Jan. 2010.
16. H. Tembine, E. Altman, R. El-Azouzi, and W. H. Sandholm, "Evolutionary game dynamics with migration for hybrid power control in wireless communications," in Proc. 47th IEEE CDC, Dec. 2008, pp. 4479-4484.
17. H. Tembine, "Population games with networking applications," Ph.D. dissertation, Univ. Avignon, Avignon, France, Sep., 2009.
18. R. Bellman, "AMarkov decision process," J. Math.Mech., vol. 6, pp. 679-684, 1957.
19. A. Barto, R. Sutton, and C. Anderson, "Neuron-like adaptive elements that can solve difficult learning control problems," IEEE Trans. Syst., Man, Cybern., vol. SMC-13, no. 5, pp. 834-846, Sep./Oct. 1983.
20. D. Monderer, "Multipotential games," in Proc. 20th IJCAI, 2007, pp. 1422-1427.
21. J. Guckenheimer and P. Holmes, Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields. New York: Springer-Verlag, 1983.
22. E. Belmega, H. Tembine, and S. Lasaulce, "Learning to precode in outage minimization games over MIMO interference channels," in Proc. IEEE Asilomar Conf. Signals, Syst., Comput., Pacific Grove, CA, Nov. 2010, pp. 1-6.
23. G. Scutari, D. Palomar, and S. Barbarossa, "The MIMO iterative waterfilling algorithm," IEEE Trans. Signal Process., vol. 57, no. 5, pp. 1917-1935, May 2009.
24. G. Scutari, D. P. Palomar, and S. Barbarossa, "Asynchronous iterative waterfilling for Gaussian frequency-selective interference channels," IEEE Trans. Inf. Theory, vol. 54, no. 7, pp. 2868-2878, Jul. 2008.
25. M. Thathachar, P. Sastry, and V. V. Phansalkar, "Decentralized learning of Nash equilibria in multiperson stochastic games with incomplete information," IEEE Trans. Syst., Man, Cybern., vol. 24, no. 5, pp. 769-777, May 1994.
26. W. Arthur, "On designing economic agents that behave like human agents," J. Evol. Econ., vol. 3, no. 1, pp. 1-22, Feb. 1993.
27. T. Borgers and R. Sarin, "Learning through reinforcement and replicator dynamics," Mimeo, Univ. College London, London, U.K., 1993.
28. A. Roth and I. Erev, "Learning in extensive form games: Experimental data and simple dynamic models in the intermediate term," Games Econ. Behavior, vol. 8, no. 1, pp. 164-212, 1995.
29. D. Monderer and L. S. Shapley, "Potential games," Games Econ. Behavior, vol. 14, pp. 124-143, 1996. (Pubitemid 126164246)
30. Y. Xing and R. Chandramouli, "Stochastic learning solution for distributed discrete power control game in wireless data networks," IEEE/ACM Trans. Netw., vol. 16, no. 4, pp. 932-944, Aug. 2008.
31. H. J. Kushner and G. Yin, Stochastic Approximation and Recursive Algorithms and Applications., 2nd ed. New York: Springer-Verlag, 2003, pp. xxii-474.
32. H. J. Kushner and G. Yin, Stochastic Approximation Algorithms and Applications, 1st ed. New York: Springer-Verlag, 1997, pp. xxi-417.
33. M. Benaiuml;m, "Dynamics of stochastic approximations," in Le Seminaire de Probabilites. New York: Springer-Verlag, 1999, pp. 1-68.
34. V. Borkar, "Stochastic approximation: A dynamical systems viewpoint," in Texts and Readings in Mathematics 48. New Delhi, India: Hindustan Book Agency, 2008.
35. D. S. Leslie and E. J. Collins, "Convergent multiple timescales reinforcement learning algorithms in normal form games," Ann. Appl. Probab., vol. 13, no. 4, pp. 1231-1251, 2003. (Pubitemid 38033576)
36. P. D. Taylor and L. B. Jonker, "Evolutionarily stable strategies and game dynamics," Math. Biosci., vol. 40, no. 1/2, pp. 145-156, Jul. 1978. (Pubitemid 8403401)
37. J. R. Marden, H. P. Young, G. Arslan, and J. S. Shamma, "Payoffbased dynamics for multi-player weakly acyclic games," SIAM J. Control Optim., vol. 48, no. 1, pp. 373-396, 2009.
38. M. P. Anastasopoulos, D. K. Petraki, R. Kannan, and A. V. Vasilakos, "TCP throughput adaptation in WiMax networks using replicator dynamics," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 40, no. 3, pp. 647-655, Jun. 2010.
39. A. V. Vasilakos and M. P. Anastasopoulos, "Application of evolutionary game theory to wireless mesh networks," in Advances in Evolutionary Computing for System Design, L. Jain, Ed. New York: Springer-Verlag, 2007.
40. B. An, A. V. Vasilakos, and V. Lesser, "Evolutionary stable resource pricing strategies," in Proc. ACM SIGCOMM, Barcelona, Spain, Aug. 2009.
41. Y. Wang, A. Nakao, A. V. Vasilakos, and J. Ma "P2P soft security: On evolutionary dynamics of P2P incentive mechanism, Comput. Commun. (COMCOM). Feb. 2010. [Online]. Available:http://dx.doi.org/10.1016/j.comcom.2010.01.021
42. H. Tembine, E. Altman, R. El-Azouzi, and Y. Hayel, "Evolutionary games with random number of interacting players with application to access control," in Proc. WiOpt, 2008, pp. 344-351.
43. H. Tembine, E. Altman, and R. El-Azouzi, "Delayed evolutionary game dynamics applied to medium access control," in Proc. 4th IEEE Int. Conf. MASS, Pisa, Italy, 2007, pp. 1-6.
44. Q. Zhu, H. Tembine, and T. Baar, "Evolutionary games for hybrid additive white Gaussian noise multiple access control," in Proc. IEEE GLOBECOM, 2009, pp. 1-6.
45. E. Altman, R. El-Azouzi, Y. Hayel, and H. Tembine, "Evolutionary power control games in wireless networks," in Proc. 7th Int. IFIP-TC6 Netw. Conf. AdHoc Sens. Netw., Wireless Netw., Next Gener. Internet, 2008, pp. 930-942. (Pubitemid 351775430)
46. J. Weibull, Evolutionary Game Theory. Cambridge, MA: MIT Press, 1995.
47. J. Hofbauer and K. Sigmund, Evolutionary Games and Population Dynamics. Cambridge, U.K.: Cambridge Univ. Press, 1998.
48. H. Tembine, "Mean field stochastic games: Simulation, dynamics and network applications" Lecture notes, Unpublished manuscript, Supelec, Oct. 2010.