Mean-field games and green power control

International Conference on NETwork Games, Control and Optimization, NetGCooP 2011

Volumn , Issue , 2011, Pages

  Meriaux, Francois ^a   Lasaulce, Samson ^a  

^a UNIV PARIS SUD   (France)

Author keywords

[No Author keywords available]

Indexed keywords

COUPLED SYSTEMS; DISTRIBUTED WIRELESS; ENERGY CONSTRAINT; ENERGY EFFICIENT; FINITE HORIZONS; HAMILTON-JACOBI-BELLMAN; MEAN-FIELD; NASH EQUILIBRIUM; POWER CONTROL POLICIES; STOCHASTIC DIFFERENTIAL GAME; SYSTEM OF EQUATIONS;

ENERGY POLICY; ENERGY UTILIZATION; GAME THEORY; OPTIMIZATION; POWER CONTROL; STOCHASTIC SYSTEMS; TRANSMITTERS;

ENERGY EFFICIENCY;

EID: 84855726942     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (20)

1. G. J. Foschini and Z. Milijanic, "A simple distributed autonomous power control algorithm and its convergence," IEEE Trans. on Vehicular Technology, vol. 42, no. 4, pp. 641-646, 1993.
2. R. D. Yates, "A framework for uplink power control in cellular radio systems," IEEE J. Sel. Areas Comm., vol. 13, no. 7, pp. 1341-1347, September 1995.
3. P. Gupta and P. R. Kumar, "A system and traffic dependent adaptive routing algorithm for ad hoc networks," in IEEE Conf. on Decision and Control (CDC), San Diego, USA, December 1997, pp. 2375-2380.
4. J. Mitola and G. Q. Maguire, "Cognitive radio: making software radios more personal," IEEE Personal Communications, vol. 6, no. 4, pp. 13-18, Aug. 1999.
5. B. A. Fette, Cognitive Radio Technology, N. editors, Ed. Elsevier, 2006.
6. J. Palicot, "Cognitive radio: an enabling technology for the green radio communications concept," in IEEE International Conference on Wireless Communications and Mobile Computing (ICWMC), 2009, pp. 489-494.
7. F. Richter, A. J. Fehske, and G. Fettweis, "Energy efficiency aspects of base station deployment strategies for cellular networks." in VTC Fall'09, 2009.
8. D. J. Goodman and N. B. Mandayam, "Power control for wireless data,"IEEE Person. Comm., vol. 7, pp. 48-54, 2000.
9. M. L. Treust and S. Lasaulce, "A repeated game formulation of energyefficient decentralized power control," IEEE Trans. on Wireless Commun., vol. 9, no. 9, pp. 2860-2869, September 2010.
10. M. L. Treust, S. Lasaulce, and M. Debbah, "Implicit cooperation in distributed energy-efficient networks," in IEEE Proc. of 4th Intl. Symp. on Commun., Control, and Signal Processing, 2010.
11. F. Mériaux, M. L. Treust, S. Lasaulce, and M. Kieffer, "Energy-efficient power control strategies for stochastic games," in IEEE Proc. of the 17th International Conference on Digital Signal Processing (DSP), Corfu, Greece, July 2011.
12. J. M. Lasry and P. L. Lions, "Mean field games," Jpn. J. Math., vol. 2, no. 1, pp. 229-260, 2007.
13. H. Tembine, S. Lasaulce, and M. Jungers, "Joint power controlallocation for green cognitive wireless networks using mean field theory," in IEEE Proc. of the 5th Intl. Conf. on Cogntitive Radio Oriented Wireless Networks and Communications (CROWNCOM), Cannes, France, Jun. 2010.
14. A. Bressan, "Noncooperative differential games. a tutorial," 2010.
15. W. Fleming and H. Soner, Controlled Markov processes and viscosity solutions, ser. Applications of mathematics. Springer-Verlag, 1993.
16. L. Evans, Partial differential equations. American Mathematical Society, 2010.
17. F. Mériaux, Y. Hayel, S. Lasaulce, and A.Garnaev, "Long-term energy constraints and power control in cognitive radio networks," in IEEE Proc. of the 17th International Conference on Digital Signal Processing (DSP), Corfu, Greece, July 2011.
18. E. V. Belmega and S. Lasaulce, "An information-theoretic look at mimo energy-efficient communications," ACM Proc. of the Intl. Conf. on Performance Evaluation Methodologies and Tools (VALUETOOLS), 2009.
19. P. M. Kotelenez and T. G. Kurt, "Macroscopic limits for stochastic partial differential equations of mckean-vlasov type," Probability Theory and Related Fields, vol. 142, 2008.
20. Y. Achdou and I. Capuzzo Dolcetta, "Mean field games: Numerical methods," SIAM J. Numerical Analysis, vol. 48, no. 3, pp. 1136-1162, 2010.