A constrained evolutionary Gaussian multiple access channel game

Proceedings of the 2009 International Conference on Game Theory for Networks, GameNets '09

Volumn , Issue , 2009, Pages 403-410

  Zhu, Quanyan ^a   Tembine, Hamidou ^b   Başar, Tamer ^a  

^a University of Illinois at Urbana Champaign   (United States)

^b UNIVERSITY OF AVIGNON   (France)

Author keywords

[No Author keywords available]

Indexed keywords

CONTINUOUS VARIABLES; EQUILIBRIUM SOLUTIONS; EVOLUTIONARY GAMES; EVOLUTIONARY STABLE STRATEGIES; GAUSSIAN MULTIPLE-ACCESS CHANNELS; LONG-RUN BEHAVIOR; MULTIPLE ACCESS CHANNELS; NASH DYNAMICS; NASH EQUILIBRIA; PARETO-OPTIMAL; PRICE OF ANARCHY; PURE NASH EQUILIBRIUM; RATE CONSTRAINTS; REPLICATOR DYNAMICS;

COMMUNICATION CHANNELS (INFORMATION THEORY); CONGESTION CONTROL (COMMUNICATION);

GAME THEORY;

EID: 70349993190     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/GAMENETS.2009.5137426     Document Type: Conference Paper

References (22)

1. Altman, E., El-Azouzi, R., Hayel, Y., and Tembine, H., "Evolutionary power control games in wireless networks," NETWORKING 2008 Ad Hoc and Sensor Networks, Wireless Networks, Next Generation Internet, Springer Berlin / Heidelberg, pp. 930-942, 2008.
2. Andelman, N., Feldman, M., and Mansour, Y., "Strong price of anarchy," SODA, 2007.
3. Anshelevich, E., Dasgupta, A., Kleinberg, J., Tardos, E., Wexler, T. and Roughgarden, T., "The price of stability for network design with fair cost allocation," in Proc. FOCS, pp. 59-73, 2004.
4. Aumann, R., "Acceptable points in general cooperative n-person games", in Contributions to the Theory of Games, volume 4, 1959.
5. Gajic, V. and Rimoldi, B., "Game theoretic considerations for the Gaussian multiple access channel," in Proc. IEEE ISIT, 2008.
6. Goodman, J. C., "A note on existence and uniqueness of equilibrium points for concave N-person games," Econometrica, 48(1),1980, p. 251.
7. Hofbauer, J. and Sigmund, K.., Evolutionary Games and Population Dynamics, Cambridge University Press, 1998.
8. Hofbauer, J., Oechssler, J., and Riedel, F., "Brown-von Neumann-Nash dynamics: The continuous strategy case," Games and Econ. Behav., 65(2):406-429, 2008.
9. Ponstein, J., "Existence of equilibrium points in non-product spaces," SIAM J. Appl. Math., 14(1):181-190, 1966.
10. McGill, B.J. and Brown, J.S., "Evolutionary game theory and adaptive dynamics of continuous traits," The Annual Rev. of Ecology, Evolution, and Systematics, 38: 403-435, 2007.
11. Shaiju, A. J. and Bernhard, P., "Evolutionarily robust strategies: two nontrivial examples and a theorem," Proc. of ISDG, 2006.
12. Smith, J.M. and Price, G.M., "The logic of animal conflict," Nature, 246:15-18, 1973.
13. Rosen, J. B., "Existence and uniqueness of equilibrium points for concave N-person games," Econometrica, 33:520-534, 1965.
14. Sandholm,W. H., Population Games and Evolutionary Dynamics, MIT Press, 2009 (to appear ).
15. Takashi, U., "Correlated equilibrium and concave games," Int. Journal of Game Theory, 37(1):1-13, 2008.
16. Taylor, P.D. and Jonker, L., "Evolutionarily stable strategies and game dynamics," Math. Bioscience, 40:145-156, 1978.
17. Tembine, H. , Altman, E. , El-Azouzi, R. and Hayel, Y., "Evolutionary games with random number of interacting players applied to access control", Proc. of IEEE/ACM WiOpt, March 2008.
18. Tembine H., Altman E. and El-Azouzi R., "Delayed evolutionary game dynamics applied to the medium access control", In Proc. IEEE MASS, 2007.
19. Tembine H., Altman E., El-Azouzi R. and Hayel Y. "Multiple access game in ad-hoc networks", In Proc. GameComm, 2007.
20. Vincent, T.L. and Brown, J.S., Evolutionary Game Theory, Natural Selection, and Darwinian Dynamics, Cambridge Univ. Press, 2005.
21. Wei Y. and Cioffi, J.M. "Competitive equilibrium in the Gaussian interference channel," IEEE Internat. Symp. Information Theory (ISIT), 2000.
22. Zhu, Q., "A Lagrangian approach to constrained potential games, Part I: theory and example," Proc. IEEE CDC, Cancun, Mexico, 2008.