Robust equilibria in additively coupled games in communications networks

GLOBECOM - IEEE Global Telecommunications Conference

Volumn , Issue , 2011, Pages

  Parsaeefard, Saeedeh ^a   Sharafat, Ahmad R ^a   Van Der Schaar, Mihaela ^b  

^a TARBIAT MODARES UNIVERSITY   (Iran)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Robust game theory; sensitivity analysis; uncertainty region; variational inequality

Indexed keywords

COMMUNICATIONS NETWORKS; EXISTENCE AND UNIQUENESS; INTERFERENCE CHANNELS; JACKSON NETWORKS; MULTIUSER COMMUNICATION; NASH EQUILIBRIUM; ROBUST OPTIMIZATION THEORY; SOCIAL UTILITY; SPECIAL FORMS; UNCERTAINTY REGION; VARIATIONAL INEQUALITIES;

ALGORITHMS; COMMUNICATION; GAME THEORY; SENSITIVITY ANALYSIS; SITE SELECTION; VARIATIONAL TECHNIQUES;

UNCERTAINTY ANALYSIS;

EID: 84857206307     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/GLOCOM.2011.6134159     Document Type: Conference Paper

References (24)

1. D. Fudenberg and J. Tirole, Game Theory. Cambridge, MA: MIT Press, 1991.
2. F. Meshkati, A. J. Goldsmith, H. V. Poor, and S. C. Schwartz, "A game-theoretic approach to energy-efficient modulation in CDMA networks with delay QoS constraints," IEEE Journal on Selcted Areas in Communications, vol. 25, no. 6, pp. 1069-1078, Aug. 2007. (Pubitemid 47171198)
3. E. Altman, T. Boulogne, R. El-Azouzi, T. Jimenez, and L. Wynter, "A survey on networking games in telecommunications," Computer Operation Research, vol. 33, pp. 286-311, Feb. 2006.
4. M. Felegyhazi and J. P. Hubaux, "Game theory in wireless networks: a tutorial," EPFL Technical Report, LCA-REPORT-2006-002, Feb. 2006.
5. G. Scutari, D. P. Palomar, and S. Barbarossa, "Optimal linear precoding strategies for wideband noncooperative systems based on game theory-Part I: Nash equilibria," IEEE Transactions on Signal Processing, vol. 56, no. 3, pp. 1230-1249, Mar. 2008. (Pubitemid 351386281)
6. -, "Optimal linear precoding strategies for wideband noncooperative systems based on game theory-Part II: algorithms," IEEE Transactions on Signal Processing, vol. 56, no. 3, pp. 1250-1267, Mar. 2008.
7. Y. Su and M. van der Schaar, "Structural solutions for additively coupled sum constrained games," IEEE Transactions on Information Theory. (Submitted), [Online]. Available: arXiv.org/abs/1005.0880.
8. A. Ben-Tal and A. Nemirovski, "Selected topics in robust convex optimization," Mathematical Programming, vol. 1, no. 1, pp. 125-158, July 2007.
9. P. Setoodeh and S. Haykin, "Robust transmit power control for cognitive radio," Proceedings of the IEEE, vol. 97, no. 5, pp. 915-939, May 2009.
10. A. B. Gershman and N. D. Sidiropoulos, Space-Time Processing for MIMO Communications. John Wiley and Sons, 2005.
11. R. H. Gohary and T. J. Willink, "Robust IWFA for open-spectrum communications," IEEE Transactions on Signal Processing, vol. 57, no. 12, Dec. 2009.
12. A. Anandkumar, S. Lambotharan, and J. A. Chambers, "Robust rate-maximization game under bounded channel uncertainty," submitted IEEE Transactions on Signal Processing, Nov. 2010, [Online]. Available: arXiv.org/abs/1011.1566v1.
13. J. Wang, G. Scutari, and D. P. Palomar, "Robust MIMO cognitive radio via game theory," IEEE Transactions on Signal Processing, vol. 59, no. 3, pp. 1183-1201, Mar. 2011.
14. B. Dimitris, D. Pachamanovab, and M. Sim, "Robust linear optimization under general norms," Operations Research Letters, vol. 4, no. 32, pp. 510-516, 2004.
15. E. Prugovecki, Quantum Mechanics in Hilbert Space. Academic Press, Inc., 1981.
16. R. Zhang and Y. C. Liang, "Exploiting multi-antennas for opportunistic spectrum sharing in cognitive radio networks," IEEE Journal on Selected Topics in Signal Processing, vol. 2, no. 1, pp. 88-102, Feb. 2008. (Pubitemid 351392290)
17. M. Aghassi and D. Bertsimas, "Robust game theory," Math. Program., pp. 231-273, 2006.
18. F. Facchinei and J. S. Pang, Finite-Dimensional Variational Inequalities and Complementarity Problems. Springer-Verlag, 2003.
19. D. P. Palomar and Y. C. Eldar, Convex Optimization in Signal Processing and Communications. Cambridge university press, 2010.
20. S. Parsaeefard, A. R. Sharafat, and M. van der Schaar, "Robust additivly coupled games," 2011, [Online]. Available: arXiv.org/abs/1103. 4868.
21. J. Mo and J. Walrand, "Fair end-to-end window-based congestion control," IEEE/ACM Transactions on Networking, vol. 8, no. 5, pp. 556-567, Oct. 2000.
22. S. Boyd and L. Vandenberghe, Convex Optimization. Cambridge University Press, 2004.
23. D. P. Bertsekas and J. Tsitsiklis, Parallel and Distributed Computation: Numerical Methods. MIT Press, 2003.
24. G. Scutari, D. P. Palomar, F. Facchinei, and J.-S. Pang, "Convex optimization, game theory, and variational inequality theory in multiuser communication systems," IEEE Signal Processing Magazine, vol. 27, no. 3, pp. 35-49, May 2010.