Fictitious play with time-invariant frequency update for network security

Proceedings of the IEEE International Conference on Control Applications

Volumn , Issue , 2010, Pages 65-70

  Nguyen, Kien C ^a   Alpcan, Tansu ^a   Başar, Tamer ^b  

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

^b TECHNISCHE UNIVERSITÄT BERLIN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ADAPTIVE ALGORITHMS; GAME THEORY; MAXIMUM LIKELIHOOD ESTIMATION; STOCHASTIC SYSTEMS;

CONVERGENCE PROPERTIES; EQUILIBRIUM POINT; FICTITIOUS PLAY; LOCAL STABILITY; MAXIMUM LIKELIHOOD ESTIMATE; MIXED STRATEGY; SECURITY GAMES; TIME INVARIANTS;

NETWORK SECURITY;

EID: 78649433065     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/CCA.2010.5611248     Document Type: Conference Paper

References (20)

1. T. Alpcan and T. Başar. A game theoretic approach to decision and analysis in network intrusion detection. In Proc. of the 42nd IEEE Conference on Decision and Control, pages 2595-2600, Maui, HI, December 2003.
2. T. Alpcan and T. Başar. A game theoretic analysis of intrusion detection in access control systems. In Proc. of the 43rd IEEE Conference on Decision and Control, pages 1568-1573, Paradise Island, Bahamas, December 2004.
3. T. Alpcan and T. Başar. An intrusion detection game with limited observations. In 12th Int. Symp. on Dynamic Games and Applications, Sophia Antipolis, France, July 2006.
4. T. Başar and G. J. Olsder. Dynamic Noncooperative Game Theory. Society for Industrial and Applied Mathematics, Philadelphia, 1999. 2nd ed.
5. U. Berger. Fictitious play in 2xn games. Game theory and information, EconWPA, Mar. 2003.
6. L. Buttyan and J.-P. Hubaux. Security and Cooperation in Wireless Networks. Cambridge University Press, Cambridge, 2008.
7. L. Chen. On Selfish and Malicious Behaviors in Wireless Networks - A Non-cooperative Game Theoretic Approach. PhD thesis, Telecom ParisTech, Paris, France, November 2008.
8. D. Fudenberg and D. K. Levine. The Theory of Learning in Games. MIT Press Books. The MIT Press, December 1998.
9. G. Keller and B. Warrack. Statistics for Management and Economics. Duxbury, California, 2000. 5th ed.
10. H. K. Khalil. Nonlinear systems. Prentice-Hall, Upper Saddle River, NJ, 1998. 2nd ed.
11. S. Mannor, J. S. Shamma, and G. Arslan. Online calibrated forecasts: Efficiency vs universality for learning in games. Machine Learning - Special Issue on Learning and Computational Game Theory, 67(1-2):77-115, May 2007.
12. K. Miyasawa. On the convergence of learning processes in a 2 × 2 nonzero-sum two person game. Econometrics Research Program, 54(33), October 1961.
13. K. C. Nguyen, T. Alpcan, and T. Başar. Security games with incomplete information. In Proc. of IEEE Intl. Conf. on Communications (ICC 2009), Dresden, Germany, June 2009.
14. K. C. Nguyen, T. Alpcan, and T. Başar. Stochastic games for security in networks with interdependent nodes. In Proc. of Intl. Conf. on Game Theory for Networks (GameNets 2009), Istanbul, Turkey, May 2009.
15. K. C. Nguyen, T. Alpcan, and T. Başar. Security games with decision and observation errors. In Proc. of 2010 American Control Conference - ACC2010, Baltimore, Maryland, USA, June 30 - July 2, 2010.
16. J. Robinson. An iterative method of solving a game. Ann. Math., 54:296-301, 1951.
17. S. Roy, C. Ellis, S. Shiva, D. Dasgupta, V. Shandilya, and Q. Wu. A survey of game theory as applied to network security. Technical report, University of Memphis, 2009.
18. K. Sallhammar. Stochastic Models for Combined Security and Dependability Evaluation. PhD thesis, Norwegian University of Science and Technology, Norway, 2007.
19. J. S. Shamma and G. Arslan. Unified convergence proofs of continuous-time fictitious play. IEEE Transactions on Automatic Control, 49(7):1137-1142, July 2004.
20. J. S. Shamma and G. Arslan. Dynamic fictitious play, dynamic gradient play, and distributed convergence to nash equilibria. IEEE Transactions on Automatic Control, 50(3):312-327, March 2005.