Efficient Incentive Scheme forWireless Random Channel Access with Selfish Users
In the decentralized networks, interactions among selfish users sharing a common transmission channel can be modeled as a non cooperative game using game theory. When selfish users choose their transmission probabilities independently without any coordination mechanism, Nash equilibria leads to a suboptimal use of the channel resource and to the degradation of the performance of MAC protocols. In this paper we transform the non cooperative game in a general Stackelebrg game when multiple leaders and followers coexist and competitively maximize their own function utilities. Under a simple multiple power levels scheme, the new Stackleberg equilibrium can overcome the deficiency of the Nash equilibrium as well as the limited efficiency of the Sackelberg contention game when the users transmit using a single power level. The power control is defined in such way that the leaders choose the lowest power to transmit their packets among N available levels whereas the followers retransmit at the random power levels picked from \(N-1\) higher distinct. Furthermore, we investigate the impact of the implementation of our scheme on the equilibrium and discuss the optimal partition of leaders/followers to achieve better performance. We further show that the hierarchical system is performing better as the number of leaders is small.
KeywordsWireless random access protocol Power diversity Capture effect Markov chain Nash equilibrium Stackelberg equilibrium Performance evaluation
Unable to display preview. Download preview PDF.
- 1.Tan, G., Guttag, J.: The 802.11 mac protocol leads to inefficient equilibruim. In: Proceeding of the 24th Annual Joint Conference of IEEE Computer and Communications Societies (INFOCOM 2005), vol. 1, pp. 1–11, Miami, FL, USA, March 2005Google Scholar
- 2.El-Azouzi, R., Sabir, E., Jimènez, T., Bouyakhf, E.H.: Modeling slotted aloha as a stochastic game with random discrete power selection algorithms. International Journal of Computer Systems, Networks, and Communications (2009)Google Scholar
- 3.Altman, E., Barman, D., El-Azouzi, R., Jimenèz, T.: A game theoretic approach for delay minimization in slotted aloha. In: Proceedings of the IEEE International Conference on Communications, Paris, France, June 2004Google Scholar
- 4.MacKenzie, A.B., Wicker, S.B.: Selfish users in aloha: a game theoretic approach. In: Proceedings of the Fall 2001 IEEE Vehicular Technology Conference (2001)Google Scholar
- 5.Stackelberg, V.: Marketform und gleichgewicht. Oxford University Press (1934)Google Scholar
- 6.Bloem, M., Alpcan, T., Basar, T.: A stackelberg game for power control and channel allocation in cognitive radio networks. In: Proceedings of the ACM/ICST GameComm Workshop, Nantes, France, October 2007Google Scholar
- 7.Sabir, E., El-Azouzi, R., Hayel, Y.: Hierarchy sustains partial cooperation and induces a braess-like paradox in slotted Aloha-based networks. Computer CommunicationsGoogle Scholar
- 8.Karouit, A., Sabir, E., Ramirez-Mireles, F., Barbosa, L.O., Haqiq, A.: A Team study of a Multiple power Wireless Random Channel Acces Mechanism with Capture effect. International Mathematical Problems in Engineering Journal Hindawi 2013, Article ID 187630, 16 pages (2013)Google Scholar
- 9.Karouit, A., Sabir, E., Ramirez-Mireles, F., Barbosa, L.O., Haqiq, A.: A Stochastic Game Analysis of Binary Exponential Backoff Algorithm with Multi-Power Diversity and Transmission cost. International Journal of Mathematical Modelling and Algorithms. Springer, May 10, 2012Google Scholar
- 10.Karouit, A., Ramirez-Mireles, F., Barbosa, L.O., Haqiq, A.: Hierarchical Slotted Wireless Random Channel Access with Power Control. International Mathematical Problems in Engineering Journal Hindawi (in press, 2015). Englewood Cliffs, New Jersey (1987)Google Scholar
Open Access This chapter is licensed under the terms of the Creative Commons Attribution-NonCommercial 2.5 International License (http://creativecommons.org/licenses/by-nc/2.5/), which permits any noncommercial use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made.
The images or other third party material in this chapter are included in the chapter's Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the chapter's Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder.