Stochastic Data Transmission Model with Uncertainty on Dropper's Appearance

Authors

  • Xue Juan Saint Petersburg State University
  • Elena M. Parilina

DOI:

https://doi.org/10.21638/11701/spbu31.2020.24

Abstract

We consider a stochastic dynamic game with uncertainty about appearance of an dropper in infinite time horizon. For the lack of information about whether the dropper is present or not, two different states of nature can appear with some given probabilities at each stage. We study the non-cooperative behavior of players, and Nash equilibrium is considered as an equilibrium concept. We investigate how limited information about the dropper's appearance impacts the anti-jamming strategy.

Keywords:

stochastic game, throughput, secrecy, Nash equilibrium

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References

Altman, E. Avrachenkov, K. and Garnaev, A. (2010). Fair resource allocation in wireless networks in the presence of a jammer. Performance Evaluation, 67(4) , 338–349

Altman, E. Avrachenkov, K. and Garnaev, A. (2011). Jamming in wireless networks under uncertainty. Mobile Networks and Applications, 16(2), 246–254

Charilas, D. E. and Panagopoulos, A. D. (2010). A survey on game theory applications in wireless networks. Computer Networks, 54(18), 3421–3430

Csiszar, I. and Korner, J. (1978). Broadcast channels with confidential messages. IEEE Transactions on Information Theory, 24(3), 339–348

Garnaev, A., Hayel, Y., Altman, E. and Avrachenkov, K. (2012). Jamming game in a dynamic slotted ALOHA network. In: Game Theory for Networks (Jain, R. and Kannan, R. eds), Vol. 75, pp. 429–443. Springer

Garnaev, A. and Trappe, W. (2016). Bargaining over the fair trade-off between secrecy and throughput in OFDM communications. IEEE Transactions on Information Forensics and Security, 12(1), 242–251

Garnaev, A., Trappe, W. and Petropulu, A. (2017). Equilibrium strategies for an OFDM network that might be under a jamming attack. In: 2017 51st Annual Conference on Information Sciences and Systems (CISS), pp. 1–6. IEEE

Mukherjee, A., Fakoorian, S. A. A. and Huang, J. (2014). Principles of physical layer security in multiuser wireless networks: A survey. IEEE Communications Surveys and Tutorials, 16(3), 1550–1573

Parilina, E. M. (2015). Stable cooperation in stochastic games. Automation and remote control, 76(6), 1111–1122

Parilina, E. M. and Tampieri, A. (2018). Stability and cooperative solution in stochastic games. Theory and Decision, 84(4), 601–625

Shannon, C. E. (1948). A mathematical theory of communication. The Bell System Technical Journal, 27(3), 379–423

Slimeni, F., Scheers, B. and Le Nir, V. (2016). Closed form expression of the saddle point in cognitive radio and jammer power allocation game. In: International Conference on Cognitive Radio Oriented Wireless Networks, pp. 29–40. Springer

Vadlamania, S., Eksioglub, B., Medala, H. and Nandia, A. (2016). Jamming attacks on wireless networks: A taxonomic survey. International Journal of Production Economics, 172, 76–94

Wu, Y., Wang, B., Liu, K. J. R. and Clancy, T. C. (2012). Anti-jamming games in multi-channel cognitive radio networks. IEEE Journal on Selected Areas in Communications, 30(1), 4–15

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Published

2022-02-01

How to Cite

Juan, X. ., & Parilina, E. M. (2022). Stochastic Data Transmission Model with Uncertainty on Dropper’s Appearance. Contributions to Game Theory and Management, 13. https://doi.org/10.21638/11701/spbu31.2020.24

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Articles